Details

analyze2.2s (7.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

506×	`times-frac_binary64_1107`
396×	`cancel-sign-sub-inv_binary64_1067`
336×	`associate-/r*_binary64_1045`
265×	`swap-sqr_binary64_1068`
250×	`associate-l/_binary64_1044` `associate-r/_binary64_1043`
203×	`associate-/l*_binary64_1046`
167×	`*-commutative_binary64_1032`
160×	`associate-l_binary64_1042`
149×	`associate-r_binary64_1041`
137×	`distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
103×	`sub-neg_binary64_1094`
61×	`+-commutative_binary64_1031`
31×	`difference-of-squares_binary64_1070`
30×	`+-rgt-identity_binary64_1086` `associate-+r-_binary64_1035`
15×	`sub0-neg_binary64_1088` `associate-/r/_binary64_1047` `associate-+l-_binary64_1036`
12×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096`
6×	`distribute-lft-neg-out_binary64_1060` `distribute-rgt-neg-in_binary64_1059`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `log-pow_binary64_1190` `log-rec_binary64_1189` `log-div_binary64_1188` `log-prod_binary64_1187` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `unpow3_binary64_1167` `unpow2_binary64_1166` `unpow1/2_binary64_1165` `pow-plus_binary64_1164` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow1_binary64_1159` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `exp-prod_binary64_1153` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `exp-sum_binary64_1147` `e-exp-1_binary64_1146` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-unmult_binary64_1138` `cube-mult_binary64_1131` `cube-div_binary64_1130` `cube-prod_binary64_1129` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `div-sub_binary64_1106` `unsub-neg_binary64_1095` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `remove-double-neg_binary64_1089` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `pow-sqr_binary64_1074` `sqr-pow_binary64_1073` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `unswap-sqr_binary64_1069` `cancel-sign-sub_binary64_1066` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-neg-in_binary64_1062` `distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-in_binary64_1058` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-rgt-out--_binary64_1055` `distribute-rgt-out_binary64_1054` `distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052` `count-2_binary64_1049` `associate-/l/_binary64_1048` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate--l+_binary64_1038` `associate--r+_binary64_1037` `associate-+l+_binary64_1034` `associate-+r+_binary64_1033`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	1248
1	676	1248
2	3644	1248
3	4467	1248
4	5624	1248
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	98.1%	1.9%	13
0%	98.1%	1.9%	14

Compiler

Compiled 53 to 22 computations (58.5% saved)

sample168.0ms (0.6%)

Algorithm

1×

intervals

Results

29.0ms	354×	body	128	nan
26.0ms	35×	body	8192	valid
25.0ms	52×	body	4096	valid
17.0ms	44×	body	2048	valid
10.0ms	136×	body	128	invalid
10.0ms	32×	body	1024	valid
7.0ms	86×	body	128	valid
1.0ms	6×	body	512	valid
1.0ms	3×	body	2048	invalid
1.0ms	3×	body	1024	invalid
0.0ms	2×	body	512	invalid
0.0ms	2×	body	256	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify44.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

599×	`times-frac_binary64_1107`
518×	`distribute-neg-frac_binary64_1065`
304×	`associate-/l*_binary64_1046`
217×	`cancel-sign-sub-inv_binary64_1067`
190×	`associate-/r*_binary64_1045`
188×	`associate-r_binary64_1041`
187×	`associate-*l/_binary64_1044`
186×	`associate-l_binary64_1042`
162×	`associate-*r/_binary64_1043`
144×	`distribute-neg-in_binary64_1062`
123×	`neg-mul-1_binary64_1097`
122×	`neg-sub0_binary64_1096`
115×	`swap-sqr_binary64_1068`
112×	`associate-/l/_binary64_1048`
55×	`associate-/r/_binary64_1047`
44×	`*-commutative_binary64_1032`
22×	`distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`
10×	`unsub-neg_binary64_1095` `sub-neg_binary64_1094`
8×	`+-commutative_binary64_1031`
4×	`unswap-sqr_binary64_1069` `distribute-rgt-out_binary64_1054`
3×	`unpow3_binary64_1167` `cube-unmult_binary64_1138` `sqr-pow_binary64_1073`
2×	`sub0-neg_binary64_1088` `+-rgt-identity_binary64_1086` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `difference-of-squares_binary64_1070` `distribute-lft-neg-out_binary64_1060` `distribute-lft-out_binary64_1052` `associate-+l-_binary64_1036` `associate-+r-_binary64_1035` `associate-+l+_binary64_1034`
1×	`cube-div_binary64_1130` `distribute-rgt-neg-out_binary64_1061` `distribute-rgt-neg-in_binary64_1059`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `log-pow_binary64_1190` `log-rec_binary64_1189` `log-div_binary64_1188` `log-prod_binary64_1187` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `unpow2_binary64_1166` `unpow1/2_binary64_1165` `pow-plus_binary64_1164` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow1_binary64_1159` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `exp-prod_binary64_1153` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `exp-sum_binary64_1147` `e-exp-1_binary64_1146` `1-exp_binary64_1145` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-mult_binary64_1131` `cube-prod_binary64_1129` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `div-sub_binary64_1106` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `remove-double-neg_binary64_1089` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `div0_binary64_1082` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `pow-sqr_binary64_1074` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `cancel-sign-sub_binary64_1066` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-lft-neg-in_binary64_1058` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-rgt-out--_binary64_1055` `distribute-lft-out--_binary64_1053` `count-2_binary64_1049` `associate--r-_binary64_1040` `associate--l-_binary64_1039` `associate--l+_binary64_1038` `associate--r+_binary64_1037` `associate-+r+_binary64_1033`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	78
1	63	78
2	290	78
3	3039	69
4	3619	69
5	5019	69

prune8.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

59.4b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

17.9b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.9b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.9b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
24.8b	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

rewrite445.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

59.4b

Rules

211×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
117×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
45×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
6×	`add-log-exp_binary64_1140` `*-un-lft-identity_binary64_1101`
4×	`pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123`
3×	`frac-2neg_binary64_1112` `times-frac_binary64_1107` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
2×	`sqrt-div_binary64_1118` `frac-add_binary64_1109`
1×	`sum-log_binary64_1192` `flip3--_binary64_1105` `flip--_binary64_1076` `flip3-+_binary64_1104` `flip-+_binary64_1075` `distribute-lft-out_binary64_1052` `+-commutative_binary64_1031`

Counts

4 → 143

Calls

4 calls:

57.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
16.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10068 to 1192 computations (88.2% saved)

series3.7s (12.4%)

Error

36.9b

Counts

4 → 78

Calls

4 calls:

1.5s	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
731.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
700.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
684.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 9550 to 5378 computations (43.7% saved)

simplify202.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

553×	`times-frac_binary64_1107`
265×	`associate-l_binary64_1042`
226×	`cancel-sign-sub-inv_binary64_1067` `associate-r_binary64_1041`
202×	`associate-/r*_binary64_1045`
198×	`associate-/l*_binary64_1046`
181×	`unpow3_binary64_1167`
161×	`distribute-rgt-neg-in_binary64_1059`
155×	`distribute-lft-neg-in_binary64_1058`
148×	`swap-sqr_binary64_1068`
146×	`log-div_binary64_1188`
111×	`cube-prod_binary64_1129` `*-commutative_binary64_1032`
107×	`distribute-neg-frac_binary64_1065`
101×	`cube-div_binary64_1130`
98×	`log-prod_binary64_1187`
88×	`associate-*l/_binary64_1044`
80×	`sub-neg_binary64_1094`
71×	`associate-*r/_binary64_1043`
68×	`unswap-sqr_binary64_1069`
52×	`sqr-pow_binary64_1073`
47×	`neg-sub0_binary64_1096`
45×	`neg-mul-1_binary64_1097`
44×	`distribute-rgt-out--_binary64_1055`
33×	`+-commutative_binary64_1031`
26×	`distribute-neg-in_binary64_1062`
23×	`exp-prod_binary64_1153`
17×	`cube-mult_binary64_1131` `distribute-rgt-in_binary64_1051`
16×	`associate--r+_binary64_1037`
15×	`associate--l+_binary64_1038`
13×	`distribute-lft-in_binary64_1050` `associate-/r/_binary64_1047` `associate-+l+_binary64_1034`
12×	`difference-of-squares_binary64_1070`
10×	`distribute-lft-neg-out_binary64_1060`
9×	`cube-unmult_binary64_1138` `associate-+r+_binary64_1033`
8×	`pow-plus_binary64_1164` `unsub-neg_binary64_1095`
7×	`pow-sqr_binary64_1074`
5×	`distribute-rgt-neg-out_binary64_1061` `associate-/l/_binary64_1048`
4×	`log-pow_binary64_1190`
3×	`unpow2_binary64_1166` `unpow1/2_binary64_1165` `unpow1_binary64_1159` `div-sub_binary64_1106` `distribute-rgt-out_binary64_1054` `associate-+r-_binary64_1035`
2×	`mul-1-neg_binary64_1093` `cancel-sign-sub_binary64_1066` `count-2_binary64_1049` `associate-+l-_binary64_1036`
1×	`prod-exp_binary64_1150` `1-exp_binary64_1145` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `remove-double-neg_binary64_1089` `+-rgt-identity_binary64_1086` `+-inverses_binary64_1080` `distribute-neg-out_binary64_1063` `associate--r-_binary64_1040` `associate--l-_binary64_1039`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `log-rec_binary64_1189` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `div-exp_binary64_1152` `rec-exp_binary64_1151` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `exp-sum_binary64_1147` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `/-rgt-identity_binary64_1092` `-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `*-inverses_binary64_1081` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `distribute-frac-neg_binary64_1064` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052`

Counts

221 → 209

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	6172
1	485	5688
2	2915	5619
3	4774	5571
4	5027	5571

prune371.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	204	5	209
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	205	6	211

Error

37.4b

Counts

211 → 6

Compiler

Compiled 10712 to 2017 computations (81.2% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.1b	(.f64 (.f64 d d) c0)
11.1b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
12.7b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
19.2b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite786.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

29.3b

Rules

917×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
623×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
166×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
46×	`pow1_binary64_1162`
30×	`pow-prod-down_binary64_1172`
9×	`associate-l_binary64_1042`
8×	`add-sqr-sqrt_binary64_1123`
7×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
5×	`associate-r_binary64_1041`
4×	`add-log-exp_binary64_1140` `times-frac_binary64_1107`
3×	`-commutative_binary64_1032` `associate-r/_binary64_1043`
2×	`div-inv_binary64_1098`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `frac-times_binary64_1111` `associate-*l/_binary64_1044` `unswap-sqr_binary64_1069`

Counts

4 → 315

Calls

4 calls:

37.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
22.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
18.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
7.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 15201 to 3559 computations (76.6% saved)

series2.5s (8.2%)

Error

30.6b

Counts

4 → 54

Calls

4 calls:

1.0s	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
846.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
400.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
94.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 3510 to 2965 computations (15.5% saved)

simplify329.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

894×	`times-frac_binary64_1107`
535×	`associate-l_binary64_1042`
373×	`associate-/r*_binary64_1045`
365×	`associate-*r/_binary64_1043`
351×	`associate-/l*_binary64_1046`
305×	`associate-*l/_binary64_1044`
166×	`*-commutative_binary64_1032`
145×	`associate-r_binary64_1041`
130×	`log-div_binary64_1188`
64×	`associate-+r+_binary64_1033`
58×	`associate-+l-_binary64_1036`
39×	`sub-neg_binary64_1094`
31×	`+-commutative_binary64_1031`
29×	`swap-sqr_binary64_1068`
27×	`associate-+r-_binary64_1035`
26×	`log-prod_binary64_1187`
19×	`exp-prod_binary64_1153` `associate-/r/_binary64_1047`
16×	`distribute-rgt-neg-in_binary64_1059` `associate--l+_binary64_1038`
15×	`cube-unmult_binary64_1138` `unswap-sqr_binary64_1069` `distribute-lft-neg-in_binary64_1058`
12×	`associate--r+_binary64_1037`
9×	`sqr-pow_binary64_1073`
8×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096` `cancel-sign-sub-inv_binary64_1067`
6×	`associate-+l+_binary64_1034`
5×	`distribute-neg-in_binary64_1062`
3×	`log-pow_binary64_1190` `unpow2_binary64_1166` `pow-plus_binary64_1164` `unpow1_binary64_1159` `pow-sqr_binary64_1074` `count-2_binary64_1049`
2×	`*-rgt-identity_binary64_1091` `associate-/l/_binary64_1048`
1×	`log-rec_binary64_1189` `1-exp_binary64_1145` `*-lft-identity_binary64_1090`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `unpow3_binary64_1167` `unpow1/2_binary64_1165` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `exp-sum_binary64_1147` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-mult_binary64_1131` `cube-div_binary64_1130` `cube-prod_binary64_1129` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-sqrt-square_binary64_1114` `rem-square-sqrt_binary64_1113` `div-sub_binary64_1106` `unsub-neg_binary64_1095` `mul-1-neg_binary64_1093` `/-rgt-identity_binary64_1092` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `difference-of-squares_binary64_1070` `cancel-sign-sub_binary64_1066` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-rgt-out--_binary64_1055` `distribute-rgt-out_binary64_1054` `distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `associate--r-_binary64_1040` `associate--l-_binary64_1039`

Counts

369 → 354

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	472	18972
1	760	12573
2	4917	12573
3	5118	12573

prune542.0ms (1.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	350	4	354
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	352	8	360

Error

29.4b

Counts

360 → 8

Compiler

Compiled 10624 to 4090 computations (61.5% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
7.8b	(.f64 (.f64 D D) h)
12.2b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
15.7b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))

rewrite258.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

22.1b

Rules

176×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
107×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
32×	`pow1_binary64_1162`
28×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
19×	`pow-prod-down_binary64_1172`
10×	`add-sqr-sqrt_binary64_1123`
9×	`associate-r_binary64_1041`
7×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
5×	`associate-l_binary64_1042`
4×	`add-log-exp_binary64_1140`
3×	`*-commutative_binary64_1032`
2×	`times-frac_binary64_1107` `div-inv_binary64_1098` `unswap-sqr_binary64_1069`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `associate-*r/_binary64_1043`

Counts

4 → 137

Calls

4 calls:

19.0ms	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
16.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
12.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 3728 to 727 computations (80.5% saved)

series1.4s (4.5%)

Error

29.4b

Counts

4 → 39

Calls

4 calls:

536.0ms	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
474.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
236.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
78.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1755 to 1679 computations (4.3% saved)

simplify170.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

345×	`associate-/r/_binary64_1047`
315×	`times-frac_binary64_1107`
252×	`unswap-sqr_binary64_1069`
250×	`associate-/l/_binary64_1048`
240×	`log-prod_binary64_1187`
221×	`associate-l_binary64_1042`
209×	`associate-r_binary64_1041`
167×	`log-div_binary64_1188`
161×	`cube-prod_binary64_1129`
151×	`associate-/l*_binary64_1046`
150×	`sqr-pow_binary64_1073`
144×	`exp-prod_binary64_1153`
122×	`associate-/r*_binary64_1045`
108×	`*-commutative_binary64_1032`
104×	`sub-neg_binary64_1094`
102×	`associate-+l+_binary64_1034`
85×	`associate-+r+_binary64_1033`
84×	`cube-div_binary64_1130`
83×	`associate--l+_binary64_1038`
69×	`associate-*r/_binary64_1043`
65×	`+-commutative_binary64_1031`
51×	`associate-*l/_binary64_1044`
50×	`distribute-rgt-neg-in_binary64_1059`
48×	`swap-sqr_binary64_1068`
44×	`distribute-lft-neg-in_binary64_1058`
42×	`unpow3_binary64_1167`
39×	`cube-mult_binary64_1131`
34×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096`
26×	`cancel-sign-sub-inv_binary64_1067`
24×	`pow-sqr_binary64_1074`
22×	`associate-+r-_binary64_1035`
20×	`unsub-neg_binary64_1095`
14×	`associate--r+_binary64_1037`
11×	`cube-unmult_binary64_1138`
10×	`associate-+l-_binary64_1036`
9×	`log-pow_binary64_1190` `pow-plus_binary64_1164`
8×	`-rgt-identity_binary64_1091` `-lft-identity_binary64_1090`
6×	`+-rgt-identity_binary64_1086`
5×	`log-rec_binary64_1189`
4×	`unpow1/2_binary64_1165`
3×	`unpow2_binary64_1166` `unpow1_binary64_1159` `rem-sqrt-square_binary64_1114` `/-rgt-identity_binary64_1092` `distribute-lft-neg-out_binary64_1060` `count-2_binary64_1049`
2×	`distribute-rgt-out--_binary64_1055` `distribute-lft-out_binary64_1052`
1×	`1-exp_binary64_1145` `exp-1-e_binary64_1144` `sub0-neg_binary64_1088` `distribute-neg-in_binary64_1062` `distribute-rgt-neg-out_binary64_1061` `distribute-rgt-out_binary64_1054` `distribute-rgt-in_binary64_1051` `associate--l-_binary64_1039`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `exp-sum_binary64_1147` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `div-sub_binary64_1106` `mul-1-neg_binary64_1093` `remove-double-neg_binary64_1089` `--rgt-identity_binary64_1087` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `div0_binary64_1082` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `difference-of-squares_binary64_1070` `cancel-sign-sub_binary64_1066` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-lft-out--_binary64_1053` `distribute-lft-in_binary64_1050` `associate--r-_binary64_1040`

Counts

176 → 135

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	4767
1	356	3276
2	1750	3276
3	3637	3238
4	4921	3238
5	4991	3238

prune144.0ms (0.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	127	8	135
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	129	14	143

Error

25.0b

Counts

143 → 14

Compiler

Compiled 2556 to 882 computations (65.5% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

4.4b	(/.f64 (.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h)) d)
7.8b	(.f64 (.f64 D D) h)
8.6b	(/.f64 (*.f64 M M) d)
12.1b	(.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h))

rewrite207.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

20.6b

Rules

97×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
46×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
24×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
18×	`pow1_binary64_1162`
12×	`add-sqr-sqrt_binary64_1123`
11×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
9×	`pow-prod-down_binary64_1172` `times-frac_binary64_1107`
8×	`associate-l_binary64_1042`
6×	`associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140` `associate-r_binary64_1041`
3×	`div-inv_binary64_1098`
2×	`associate-l/_binary64_1044` `-commutative_binary64_1032` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l*_binary64_1046`
1×	`unswap-sqr_binary64_1069` `associate-/l/_binary64_1048`

Counts

4 → 116

Calls

4 calls:

14.0ms	(/.f64 (.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h)) d)
13.0ms	(.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h))
7.0ms	(.f64 (.f64 D D) h)
5.0ms	(/.f64 (*.f64 M M) d)

Compiler

Compiled 2800 to 644 computations (77% saved)

series1.1s (3.7%)

Error

25.0b

Counts

4 → 36

Calls

4 calls:

458.0ms	(/.f64 (.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h)) d)
420.0ms	(.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h))
101.0ms	(/.f64 (*.f64 M M) d)
89.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1620 to 1498 computations (7.5% saved)

simplify169.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

593×	`associate-/r/_binary64_1047`
539×	`*-commutative_binary64_1032`
266×	`log-prod_binary64_1187`
232×	`unswap-sqr_binary64_1069`
206×	`sub-neg_binary64_1094`
187×	`associate-r_binary64_1041`
182×	`cube-prod_binary64_1129` `associate-l_binary64_1042`
164×	`associate-/l*_binary64_1046`
141×	`log-div_binary64_1188`
133×	`times-frac_binary64_1107`
123×	`sqr-pow_binary64_1073`
119×	`associate-*l/_binary64_1044`
107×	`exp-prod_binary64_1153`
94×	`unpow3_binary64_1167`
93×	`cube-div_binary64_1130`
85×	`associate-/l/_binary64_1048`
78×	`associate-/r*_binary64_1045`
75×	`associate-+l+_binary64_1034`
74×	`associate-+r+_binary64_1033`
73×	`associate-*r/_binary64_1043`
60×	`associate--l+_binary64_1038`
49×	`associate-+l-_binary64_1036`
44×	`distribute-rgt-neg-in_binary64_1059`
43×	`+-commutative_binary64_1031`
41×	`neg-mul-1_binary64_1097` `neg-sub0_binary64_1096`
40×	`div-sub_binary64_1106`
38×	`distribute-lft-neg-in_binary64_1058`
36×	`cube-mult_binary64_1131`
33×	`swap-sqr_binary64_1068`
31×	`associate-+r-_binary64_1035`
29×	`associate--l-_binary64_1039`
28×	`distribute-neg-frac_binary64_1065`
24×	`*-rgt-identity_binary64_1091`
20×	`cancel-sign-sub-inv_binary64_1067`
19×	`pow-sqr_binary64_1074`
15×	`unsub-neg_binary64_1095` `/-rgt-identity_binary64_1092`
13×	`log-pow_binary64_1190` `*-lft-identity_binary64_1090` `associate--r+_binary64_1037`
12×	`log-rec_binary64_1189`
9×	`cube-unmult_binary64_1138`
8×	`pow-plus_binary64_1164` `associate--r-_binary64_1040`
7×	`+-rgt-identity_binary64_1086`
5×	`div0_binary64_1082` `distribute-neg-in_binary64_1062`
4×	`unpow1/2_binary64_1165` `remove-double-neg_binary64_1089`
3×	`unpow2_binary64_1166` `unpow1_binary64_1159` `rem-sqrt-square_binary64_1114` `distribute-lft-neg-out_binary64_1060`
2×	`sub0-neg_binary64_1088` `distribute-rgt-neg-out_binary64_1061` `count-2_binary64_1049`
1×	`1-exp_binary64_1145` `exp-1-e_binary64_1144` `--rgt-identity_binary64_1087`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_1364` `erf-erfc_binary64_1363` `erf-odd_binary64_1362` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `not-gte_binary64_1353` `not-lte_binary64_1352` `not-gt_binary64_1351` `not-lt_binary64_1350` `gte-same_binary64_1349` `lte-same_binary64_1348` `gt-same_binary64_1347` `lt-same_binary64_1346` `sinh---cosh_binary64_1293` `sinh-+-cosh_binary64_1292` `sinh-cosh_binary64_1291` `tanh-def-c_binary64_1290` `tanh-def-b_binary64_1289` `tanh-def-a_binary64_1288` `cosh-def_binary64_1287` `sinh-def_binary64_1286` `tan-neg_binary64_1233` `cos-neg_binary64_1232` `sin-neg_binary64_1231` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `hang-m-tan_binary64_1227` `hang-p-tan_binary64_1226` `hang-m0-tan_binary64_1225` `hang-p0-tan_binary64_1224` `hang-0m-tan_binary64_1223` `hang-0p-tan_binary64_1222` `tan-+PI/2_binary64_1221` `tan-+PI_binary64_1220` `tan-PI_binary64_1219` `tan-PI/3_binary64_1218` `tan-PI/4_binary64_1217` `tan-PI/6_binary64_1216` `cos-+PI/2_binary64_1215` `cos-+PI_binary64_1214` `cos-PI_binary64_1213` `cos-PI/2_binary64_1212` `cos-PI/3_binary64_1211` `cos-PI/4_binary64_1210` `cos-PI/6_binary64_1209` `sin-+PI/2_binary64_1208` `sin-+PI_binary64_1207` `sin-PI_binary64_1206` `sin-PI/2_binary64_1205` `sin-PI/3_binary64_1204` `sin-PI/4_binary64_1203` `sin-PI/6_binary64_1202` `sub-1-sin_binary64_1201` `sub-1-cos_binary64_1200` `-1-add-sin_binary64_1199` `-1-add-cos_binary64_1198` `1-sub-sin_binary64_1197` `1-sub-cos_binary64_1196` `cos-sin-sum_binary64_1195` `log-E_binary64_1191` `pow-base-0_binary64_1185` `unpow1/3_binary64_1168` `exp-to-pow_binary64_1163` `pow-base-1_binary64_1161` `unpow0_binary64_1160` `unpow-1_binary64_1158` `exp-lft-cube_binary64_1157` `exp-lft-sqr_binary64_1156` `exp-cbrt_binary64_1155` `exp-sqrt_binary64_1154` `div-exp_binary64_1152` `rec-exp_binary64_1151` `prod-exp_binary64_1150` `exp-diff_binary64_1149` `exp-neg_binary64_1148` `exp-sum_binary64_1147` `e-exp-1_binary64_1146` `exp-0_binary64_1143` `rem-log-exp_binary64_1142` `rem-exp-log_binary64_1141` `cube-neg_binary64_1128` `rem-3cbrt-rft_binary64_1127` `rem-3cbrt-lft_binary64_1126` `rem-cbrt-cube_binary64_1125` `rem-cube-cbrt_binary64_1124` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `rem-square-sqrt_binary64_1113` `mul-1-neg_binary64_1093` `+-lft-identity_binary64_1085` `mul0-rgt_binary64_1084` `mul0-lft_binary64_1083` `*-inverses_binary64_1081` `+-inverses_binary64_1080` `lft-mult-inverse_binary64_1079` `rgt-mult-inverse_binary64_1078` `remove-double-div_binary64_1077` `difference-of-sqr--1_binary64_1072` `difference-of-sqr-1_binary64_1071` `difference-of-squares_binary64_1070` `cancel-sign-sub_binary64_1066` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-rgt1-in_binary64_1057` `distribute-lft1-in_binary64_1056` `distribute-rgt-out--_binary64_1055` `distribute-rgt-out_binary64_1054` `distribute-lft-out--_binary64_1053` `distribute-lft-out_binary64_1052` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050`

Counts

152 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	3178
1	378	2323
2	1648	2323
3	3654	2319
4	4932	2319
5	4960	2319
6	5038	2319

prune124.0ms (0.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	107	12	119
Fresh	6	6	12
Picked	1	0	1
Done	0	1	1
Total	114	19	133

Error

20.8b

Counts

133 → 19

Compiler

Compiled 2093 to 512 computations (75.5% saved)

regimes5.8s (19.3%)

Accuracy

Total 8.2b remaining (31.3%)

Threshold costs 0b (0%)

Compiler

Compiled 66871 to 49017 computations (26.7% saved)

bsearch316.0ms (1.1%)

Steps

Iters	Range		Point
9	6.546697546687797e+128	1.3183009800528822e+137	1.7096528760268854e+131
9	-9.045512805596236e+156	-4.830799421496102e+150	-2.0235561551202397e+153

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64_1032`
1×	`1-exp_binary64_1145` `/-rgt-identity_binary64_1092`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_1361` `if-if-and_binary64_1360` `if-if-or-not_binary64_1359` `if-if-or_binary64_1358` `if-not_binary64_1357` `if-same_binary64_1356` `if-false_binary64_1355` `if-true_binary64_1354` `tan-0_binary64_1230` `cos-0_binary64_1229` `sin-0_binary64_1228` `unpow1_binary64_1159` `e-exp-1_binary64_1146` `exp-1-e_binary64_1144` `exp-0_binary64_1143` `sqr-abs_binary64_1116` `sqr-neg_binary64_1115` `neg-mul-1_binary64_1097` `neg-sub0_binary64_1096` `unsub-neg_binary64_1095` `sub-neg_binary64_1094` `mul-1-neg_binary64_1093` `-rgt-identity_binary64_1091` `-lft-identity_binary64_1090` `remove-double-neg_binary64_1089` `sub0-neg_binary64_1088` `--rgt-identity_binary64_1087` `+-rgt-identity_binary64_1086` `+-lft-identity_binary64_1085` `cancel-sign-sub-inv_binary64_1067` `cancel-sign-sub_binary64_1066` `distribute-neg-frac_binary64_1065` `distribute-frac-neg_binary64_1064` `distribute-neg-out_binary64_1063` `distribute-neg-in_binary64_1062` `distribute-rgt-neg-out_binary64_1061` `distribute-lft-neg-out_binary64_1060` `distribute-rgt-neg-in_binary64_1059` `distribute-lft-neg-in_binary64_1058` `+-commutative_binary64_1031`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	90
1	49	90
2	48	90

end0.0ms (0%)

sample9.0s (29.9%)

Algorithm

1×

intervals

Results

993.0ms	2092×	body	4096	valid
895.0ms	11680×	body	128	nan
714.0ms	1152×	body	8192	valid
505.0ms	1306×	body	2048	valid
316.0ms	4114×	body	128	invalid
181.0ms	2427×	body	128	valid
180.0ms	599×	body	1024	valid
64.0ms	293×	body	512	valid
22.0ms	52×	body	2048	invalid
19.0ms	131×	body	256	valid
17.0ms	58×	body	1024	invalid
8.0ms	38×	body	512	invalid
8.0ms	12×	body	4096	invalid
3.0ms	6×	body	8192	exit
3.0ms	23×	body	256	invalid

Compiler

Compiled 5658 to 4153 computations (26.6% saved)

Details

analyze2.2s (7.5%)

sample168.0ms (0.6%)

simplify44.0ms (0.1%)

prune8.0ms (0%)

localize21.0ms (0.1%)

rewrite445.0ms (1.5%)

series3.7s (12.4%)

simplify202.0ms (0.7%)

prune371.0ms (1.2%)

localize18.0ms (0.1%)

rewrite786.0ms (2.6%)

series2.5s (8.2%)

simplify329.0ms (1.1%)

prune542.0ms (1.8%)

localize15.0ms (0%)

rewrite258.0ms (0.9%)

series1.4s (4.5%)

simplify170.0ms (0.6%)

prune144.0ms (0.5%)

localize14.0ms (0%)

rewrite207.0ms (0.7%)

series1.1s (3.7%)

simplify169.0ms (0.6%)

prune124.0ms (0.4%)

regimes5.8s (19.3%)

bsearch316.0ms (1.1%)

simplify4.0ms (0%)

end0.0ms (0%)

sample9.0s (29.9%)

Profiling