Details

analyze481.0ms (3.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
12.5%	87.3%	0.2%	7
18.7%	81.1%	0.2%	8
46.8%	53%	0.2%	9
47.6%	52.2%	0.2%	10
48.3%	51.5%	0.2%	11
54.2%	45.6%	0.2%	12
67.6%	32.2%	0.2%	13
68.2%	31.6%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample24.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	38×	body	128	invalid

Compiler

Compiled 27 to 31 computations (-14.8% saved)

simplify888.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

655×	`exp-prod_binary64_14111`
547×	`div-sub_binary64_14064`
482×	`swap-sqr_binary64_14026`
290×	`associate-/l*_binary64_14004`
219×	`cancel-sign-sub-inv_binary64_14025`
188×	`sub-neg_binary64_14052`
177×	`associate-/l/_binary64_14006`
168×	`unsub-neg_binary64_14053`
119×	`associate-l_binary64_14000` `associate-r_binary64_13999`
113×	`distribute-rgt-out--_binary64_14013`
111×	`distribute-rgt-out_binary64_14012` `distribute-lft-out--_binary64_14011`
109×	`distribute-lft-out_binary64_14010`
61×	`times-frac_binary64_14065`
56×	`associate-/r*_binary64_14003`
55×	`distribute-rgt-in_binary64_14009`
45×	`distribute-rgt-neg-in_binary64_14017`
43×	`neg-mul-1_binary64_14055`
40×	`distribute-lft-neg-in_binary64_14016`
38×	`neg-sub0_binary64_14054`
37×	`distribute-lft-in_binary64_14008`
28×	`*-commutative_binary64_13990`
26×	`distribute-neg-frac_binary64_14023` `associate-/r/_binary64_14005` `associate--r+_binary64_13995`
24×	`pow-plus_binary64_14122` `associate-*l/_binary64_14002` `+-commutative_binary64_13989`
21×	`difference-of-squares_binary64_14028`
20×	`distribute-neg-in_binary64_14020`
18×	`pow-sqr_binary64_14032` `associate-+l-_binary64_13994`
17×	`sqr-pow_binary64_14031` `associate--r-_binary64_13998`
16×	`mul0-rgt_binary64_14042` `distribute-lft-neg-out_binary64_14018`
15×	`associate-*r/_binary64_14001`
14×	`*-rgt-identity_binary64_14049` `sub0-neg_binary64_14046` `--rgt-identity_binary64_14045` `+-lft-identity_binary64_14043` `unswap-sqr_binary64_14027`
13×	`distribute-rgt-neg-out_binary64_14019`
12×	`remove-double-neg_binary64_14047` `mul0-lft_binary64_14041` `+-inverses_binary64_14038`
11×	`exp-sum_binary64_14105` `/-rgt-identity_binary64_14050` `*-lft-identity_binary64_14048` `distribute-rgt1-in_binary64_14015`
10×	`associate--l+_binary64_13996`
9×	`distribute-neg-out_binary64_14021` `associate-+r-_binary64_13993` `associate-+r+_binary64_13991`
8×	`exp-diff_binary64_14107`
7×	`cube-unmult_binary64_14096`
6×	`sqr-neg_binary64_14073` `associate--l-_binary64_13997`
5×	`exp-lft-sqr_binary64_14114` `+-rgt-identity_binary64_14044` `div0_binary64_14040` `associate-+l+_binary64_13992`
4×	`pow-base-1_binary64_14119` `prod-exp_binary64_14108`
3×	`exp-sqrt_binary64_14112` `difference-of-sqr--1_binary64_14030` `count-2_binary64_14007`
2×	`rem-sqrt-square_binary64_14072` `*-inverses_binary64_14039`
1×	`1-exp_binary64_14103` `exp-1-e_binary64_14102` `cube-prod_binary64_14087` `cancel-sign-sub_binary64_14024` `distribute-frac-neg_binary64_14022`
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_14322` `erf-erfc_binary64_14321` `erf-odd_binary64_14320` `if-if-and-not_binary64_14319` `if-if-and_binary64_14318` `if-if-or-not_binary64_14317` `if-if-or_binary64_14316` `if-not_binary64_14315` `if-same_binary64_14314` `if-false_binary64_14313` `if-true_binary64_14312` `not-gte_binary64_14311` `not-lte_binary64_14310` `not-gt_binary64_14309` `not-lt_binary64_14308` `gte-same_binary64_14307` `lte-same_binary64_14306` `gt-same_binary64_14305` `lt-same_binary64_14304` `sinh---cosh_binary64_14251` `sinh-+-cosh_binary64_14250` `sinh-cosh_binary64_14249` `tanh-def-c_binary64_14248` `tanh-def-b_binary64_14247` `tanh-def-a_binary64_14246` `cosh-def_binary64_14245` `sinh-def_binary64_14244` `tan-neg_binary64_14191` `cos-neg_binary64_14190` `sin-neg_binary64_14189` `tan-0_binary64_14188` `cos-0_binary64_14187` `sin-0_binary64_14186` `hang-m-tan_binary64_14185` `hang-p-tan_binary64_14184` `hang-m0-tan_binary64_14183` `hang-p0-tan_binary64_14182` `hang-0m-tan_binary64_14181` `hang-0p-tan_binary64_14180` `tan-+PI/2_binary64_14179` `tan-+PI_binary64_14178` `tan-PI_binary64_14177` `tan-PI/3_binary64_14176` `tan-PI/4_binary64_14175` `tan-PI/6_binary64_14174` `cos-+PI/2_binary64_14173` `cos-+PI_binary64_14172` `cos-PI_binary64_14171` `cos-PI/2_binary64_14170` `cos-PI/3_binary64_14169` `cos-PI/4_binary64_14168` `cos-PI/6_binary64_14167` `sin-+PI/2_binary64_14166` `sin-+PI_binary64_14165` `sin-PI_binary64_14164` `sin-PI/2_binary64_14163` `sin-PI/3_binary64_14162` `sin-PI/4_binary64_14161` `sin-PI/6_binary64_14160` `sub-1-sin_binary64_14159` `sub-1-cos_binary64_14158` `-1-add-sin_binary64_14157` `-1-add-cos_binary64_14156` `1-sub-sin_binary64_14155` `1-sub-cos_binary64_14154` `cos-sin-sum_binary64_14153` `log-E_binary64_14149` `log-pow_binary64_14148` `log-rec_binary64_14147` `log-div_binary64_14146` `log-prod_binary64_14145` `pow-base-0_binary64_14143` `unpow1/3_binary64_14126` `unpow3_binary64_14125` `unpow2_binary64_14124` `unpow1/2_binary64_14123` `exp-to-pow_binary64_14121` `unpow0_binary64_14118` `unpow1_binary64_14117` `unpow-1_binary64_14116` `exp-lft-cube_binary64_14115` `exp-cbrt_binary64_14113` `div-exp_binary64_14110` `rec-exp_binary64_14109` `exp-neg_binary64_14106` `e-exp-1_binary64_14104` `exp-0_binary64_14101` `rem-log-exp_binary64_14100` `rem-exp-log_binary64_14099` `cube-mult_binary64_14089` `cube-div_binary64_14088` `cube-neg_binary64_14086` `rem-3cbrt-rft_binary64_14085` `rem-3cbrt-lft_binary64_14084` `rem-cbrt-cube_binary64_14083` `rem-cube-cbrt_binary64_14082` `sqr-abs_binary64_14074` `rem-square-sqrt_binary64_14071` `mul-1-neg_binary64_14051` `lft-mult-inverse_binary64_14037` `rgt-mult-inverse_binary64_14036` `remove-double-div_binary64_14035` `difference-of-sqr-1_binary64_14029` `distribute-lft1-in_binary64_14014`

Counts

1 → 4

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	27	16
2	51	16
3	105	16
4	184	16
5	317	16
6	476	16
7	2480	16

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Error

0.0b

Counts

5 → 1

Compiler

Compiled 55 to 43 computations (21.8% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 x 8) (*.f64 (/.f64 y 2) z))
0.0b	(+.f64 (-.f64 (/.f64 x 8) (*.f64 (/.f64 y 2) z)) t)

rewrite54.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_14098`
4×	`*-un-lft-identity_binary64_14059`
2×	`diff-log_binary64_14151` `sum-log_binary64_14150` `pow1_binary64_14120` `add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095` `add-cube-cbrt_binary64_14094` `add-sqr-sqrt_binary64_14081` `sub-neg_binary64_14052` `associate-+l+_binary64_13992` `cancel-sign-sub-inv_binary64_14025`
1×	`flip3-+_binary64_14062` `flip-+_binary64_14033` `distribute-lft-out_binary64_14010` `associate-+l-_binary64_13994` `+-commutative_binary64_13989` `associate-*l/_binary64_14002` `frac-sub_binary64_14068` `flip3--_binary64_14063` `flip--_binary64_14034`

Counts

2 → 29

Calls

2 calls:

10.0ms	(+.f64 (-.f64 (/.f64 x 8) (*.f64 (/.f64 y 2) z)) t)
7.0ms	(-.f64 (/.f64 x 8) (*.f64 (/.f64 y 2) z))

Compiler

Compiled 595 to 411 computations (30.9% saved)

series593.0ms (3.8%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

331.0ms	(+.f64 (-.f64 (/.f64 x 8) (*.f64 (/.f64 y 2) z)) t)
236.0ms	(-.f64 (/.f64 x 8) (*.f64 (/.f64 y 2) z))

Compiler

Compiled 911 to 794 computations (12.8% saved)

simplify137.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

431×	`associate-+r+_binary64_13991`
421×	`associate-+l+_binary64_13992`
370×	`associate-/l*_binary64_14004`
230×	`cancel-sign-sub-inv_binary64_14025`
184×	`associate-l_binary64_14000`
155×	`associate-r_binary64_13999`
150×	`distribute-rgt-neg-in_binary64_14017`
141×	`distribute-lft-neg-out_binary64_14018`
136×	`distribute-rgt-neg-out_binary64_14019`
132×	`distribute-lft-neg-in_binary64_14016`
131×	`associate-*l/_binary64_14002`
124×	`distribute-rgt-in_binary64_14009`
116×	`associate-/l/_binary64_14006` `associate-*r/_binary64_14001`
115×	`distribute-lft-in_binary64_14008`
101×	`sub-neg_binary64_14052`
99×	`unsub-neg_binary64_14053`
92×	`distribute-neg-frac_binary64_14023`
79×	`associate--r+_binary64_13995`
76×	`associate-/r*_binary64_14003`
72×	`*-commutative_binary64_13990`
71×	`associate-/r/_binary64_14005`
68×	`neg-sub0_binary64_14054` `sqr-pow_binary64_14031`
65×	`times-frac_binary64_14065`
58×	`neg-mul-1_binary64_14055`
56×	`distribute-rgt-out_binary64_14012`
49×	`associate-+l-_binary64_13994`
40×	`associate--l+_binary64_13996` `associate-+r-_binary64_13993`
35×	`exp-prod_binary64_14111` `pow-sqr_binary64_14032`
34×	`exp-sum_binary64_14105` `distribute-neg-in_binary64_14020`
32×	`+-commutative_binary64_13989`
30×	`difference-of-squares_binary64_14028`
23×	`associate--r-_binary64_13998`
22×	`unswap-sqr_binary64_14027`
21×	`exp-diff_binary64_14107`
15×	`cube-prod_binary64_14087` `swap-sqr_binary64_14026` `distribute-lft-out_binary64_14010`
14×	`div-sub_binary64_14064` `+-rgt-identity_binary64_14044`
13×	`unpow3_binary64_14125` `cube-mult_binary64_14089`
11×	`sub0-neg_binary64_14046`
10×	`distribute-neg-out_binary64_14021`
9×	`exp-sqrt_binary64_14112` `mul0-rgt_binary64_14042` `mul0-lft_binary64_14041`
8×	`cube-div_binary64_14088`
7×	`exp-neg_binary64_14106` `remove-double-neg_binary64_14047`
6×	`distribute-rgt-out--_binary64_14013`
5×	`cube-unmult_binary64_14096`
4×	`div-exp_binary64_14110` `prod-exp_binary64_14108` `associate--l-_binary64_13997`
3×	`mul-1-neg_binary64_14051` `--rgt-identity_binary64_14045` `distribute-frac-neg_binary64_14022`
1×	`1-exp_binary64_14103` `cube-neg_binary64_14086` `sqr-neg_binary64_14073` `div0_binary64_14040` `count-2_binary64_14007`
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_14322` `erf-erfc_binary64_14321` `erf-odd_binary64_14320` `if-if-and-not_binary64_14319` `if-if-and_binary64_14318` `if-if-or-not_binary64_14317` `if-if-or_binary64_14316` `if-not_binary64_14315` `if-same_binary64_14314` `if-false_binary64_14313` `if-true_binary64_14312` `not-gte_binary64_14311` `not-lte_binary64_14310` `not-gt_binary64_14309` `not-lt_binary64_14308` `gte-same_binary64_14307` `lte-same_binary64_14306` `gt-same_binary64_14305` `lt-same_binary64_14304` `sinh---cosh_binary64_14251` `sinh-+-cosh_binary64_14250` `sinh-cosh_binary64_14249` `tanh-def-c_binary64_14248` `tanh-def-b_binary64_14247` `tanh-def-a_binary64_14246` `cosh-def_binary64_14245` `sinh-def_binary64_14244` `tan-neg_binary64_14191` `cos-neg_binary64_14190` `sin-neg_binary64_14189` `tan-0_binary64_14188` `cos-0_binary64_14187` `sin-0_binary64_14186` `hang-m-tan_binary64_14185` `hang-p-tan_binary64_14184` `hang-m0-tan_binary64_14183` `hang-p0-tan_binary64_14182` `hang-0m-tan_binary64_14181` `hang-0p-tan_binary64_14180` `tan-+PI/2_binary64_14179` `tan-+PI_binary64_14178` `tan-PI_binary64_14177` `tan-PI/3_binary64_14176` `tan-PI/4_binary64_14175` `tan-PI/6_binary64_14174` `cos-+PI/2_binary64_14173` `cos-+PI_binary64_14172` `cos-PI_binary64_14171` `cos-PI/2_binary64_14170` `cos-PI/3_binary64_14169` `cos-PI/4_binary64_14168` `cos-PI/6_binary64_14167` `sin-+PI/2_binary64_14166` `sin-+PI_binary64_14165` `sin-PI_binary64_14164` `sin-PI/2_binary64_14163` `sin-PI/3_binary64_14162` `sin-PI/4_binary64_14161` `sin-PI/6_binary64_14160` `sub-1-sin_binary64_14159` `sub-1-cos_binary64_14158` `-1-add-sin_binary64_14157` `-1-add-cos_binary64_14156` `1-sub-sin_binary64_14155` `1-sub-cos_binary64_14154` `cos-sin-sum_binary64_14153` `log-E_binary64_14149` `log-pow_binary64_14148` `log-rec_binary64_14147` `log-div_binary64_14146` `log-prod_binary64_14145` `pow-base-0_binary64_14143` `unpow1/3_binary64_14126` `unpow2_binary64_14124` `unpow1/2_binary64_14123` `pow-plus_binary64_14122` `exp-to-pow_binary64_14121` `pow-base-1_binary64_14119` `unpow0_binary64_14118` `unpow1_binary64_14117` `unpow-1_binary64_14116` `exp-lft-cube_binary64_14115` `exp-lft-sqr_binary64_14114` `exp-cbrt_binary64_14113` `rec-exp_binary64_14109` `e-exp-1_binary64_14104` `exp-1-e_binary64_14102` `exp-0_binary64_14101` `rem-log-exp_binary64_14100` `rem-exp-log_binary64_14099` `rem-3cbrt-rft_binary64_14085` `rem-3cbrt-lft_binary64_14084` `rem-cbrt-cube_binary64_14083` `rem-cube-cbrt_binary64_14082` `sqr-abs_binary64_14074` `rem-sqrt-square_binary64_14072` `rem-square-sqrt_binary64_14071` `/-rgt-identity_binary64_14050` `-rgt-identity_binary64_14049` `-lft-identity_binary64_14048` `+-lft-identity_binary64_14043` `*-inverses_binary64_14039` `+-inverses_binary64_14038` `lft-mult-inverse_binary64_14037` `rgt-mult-inverse_binary64_14036` `remove-double-div_binary64_14035` `difference-of-sqr--1_binary64_14030` `difference-of-sqr-1_binary64_14029` `cancel-sign-sub_binary64_14024` `distribute-rgt1-in_binary64_14015` `distribute-lft1-in_binary64_14014` `distribute-lft-out--_binary64_14011`

Counts

71 → 130

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	1089
1	208	1052
2	600	1040
3	1999	1040

prune170.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	3	131

Error

0.0b

Counts

131 → 3

Compiler

Compiled 2991 to 2006 computations (32.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 x 8) (*.f64 z (/.f64 y 2)))
0.2b	(.f64 (.f64 (/.f64 y 2) z) (*.f64 (/.f64 y 2) z))
1.9b	(-.f64 (.f64 (/.f64 x 8) (/.f64 x 8)) (.f64 (.f64 (/.f64 y 2) z) (.f64 (/.f64 y 2) z)))
27.6b	(/.f64 (-.f64 (.f64 (/.f64 x 8) (/.f64 x 8)) (.f64 (.f64 (/.f64 y 2) z) (.f64 (/.f64 y 2) z))) (+.f64 (/.f64 x 8) (*.f64 z (/.f64 y 2))))

rewrite370.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

43×	`pow1_binary64_14120`
42×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
41×	`associate-*l/_binary64_14002`
21×	`prod-exp_binary64_14108` `cbrt-unprod_binary64_14092`
18×	`frac-sub_binary64_14068`
17×	`pow-prod-down_binary64_14130`
15×	`associate-*r/_binary64_14001`
13×	`add-cube-cbrt_binary64_14094` `add-sqr-sqrt_binary64_14081` `*-un-lft-identity_binary64_14059` `frac-times_binary64_14069`
12×	`times-frac_binary64_14065`
11×	`associate-/l/_binary64_14006`
8×	`add-log-exp_binary64_14098`
7×	`div-exp_binary64_14110` `cbrt-undiv_binary64_14093`
5×	`difference-of-squares_binary64_14028`
4×	`associate-/l*_binary64_14004` `pow-prod-up_binary64_14129` `pow-sqr_binary64_14032`
3×	`associate-/r/_binary64_14005` `associate-/r*_binary64_14003`
2×	`flip3--_binary64_14063` `flip--_binary64_14034` `frac-add_binary64_14067` `flip3-+_binary64_14062` `flip-+_binary64_14033` `pow-plus_binary64_14122`
1×	`frac-2neg_binary64_14070` `div-sub_binary64_14064` `clear-num_binary64_14058` `div-inv_binary64_14056` `diff-log_binary64_14151` `sub-neg_binary64_14052` `cancel-sign-sub-inv_binary64_14025` `pow2_binary64_14140` `swap-sqr_binary64_14026` `associate-l_binary64_14000` `associate-r_binary64_13999` `*-commutative_binary64_13990` `sum-log_binary64_14150` `+-commutative_binary64_13989`

Counts

4 → 127

Calls

4 calls:

20.0ms	(/.f64 (-.f64 (.f64 (/.f64 x 8) (/.f64 x 8)) (.f64 (.f64 (/.f64 y 2) z) (.f64 (/.f64 y 2) z))) (+.f64 (/.f64 x 8) (*.f64 z (/.f64 y 2))))
11.0ms	(.f64 (.f64 (/.f64 y 2) z) (*.f64 (/.f64 y 2) z))
11.0ms	(-.f64 (.f64 (/.f64 x 8) (/.f64 x 8)) (.f64 (.f64 (/.f64 y 2) z) (.f64 (/.f64 y 2) z)))
6.0ms	(+.f64 (/.f64 x 8) (*.f64 z (/.f64 y 2)))

Compiler

Compiled 5568 to 3826 computations (31.3% saved)

series1.5s (9.5%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

629.0ms	(/.f64 (-.f64 (.f64 (/.f64 x 8) (/.f64 x 8)) (.f64 (.f64 (/.f64 y 2) z) (.f64 (/.f64 y 2) z))) (+.f64 (/.f64 x 8) (*.f64 z (/.f64 y 2))))
414.0ms	(-.f64 (.f64 (/.f64 x 8) (/.f64 x 8)) (.f64 (.f64 (/.f64 y 2) z) (.f64 (/.f64 y 2) z)))
233.0ms	(+.f64 (/.f64 x 8) (*.f64 z (/.f64 y 2)))
150.0ms	(.f64 (.f64 (/.f64 y 2) z) (*.f64 (/.f64 y 2) z))

Compiler

Compiled 3311 to 2649 computations (20% saved)

simplify1.3s (8.5%)

Algorithm

1×	egg-herbie

Rules

430×	`cancel-sign-sub-inv_binary64_14025`
383×	`distribute-rgt-in_binary64_14009`
350×	`distribute-lft-in_binary64_14008`
317×	`associate-r_binary64_13999`
316×	`distribute-rgt-neg-in_binary64_14017`
264×	`associate-l_binary64_14000`
261×	`distribute-lft-neg-in_binary64_14016`
146×	`distribute-neg-frac_binary64_14023`
119×	`associate-/l*_binary64_14004`
101×	`div-sub_binary64_14064`
98×	`associate-*l/_binary64_14002`
93×	`distribute-rgt-out_binary64_14012`
88×	`unswap-sqr_binary64_14027`
82×	`*-commutative_binary64_13990`
78×	`sub-neg_binary64_14052` `associate-*r/_binary64_14001`
73×	`swap-sqr_binary64_14026`
64×	`sqr-pow_binary64_14031`
63×	`exp-prod_binary64_14111`
58×	`neg-mul-1_binary64_14055` `neg-sub0_binary64_14054`
57×	`distribute-lft-neg-out_binary64_14018`
52×	`times-frac_binary64_14065`
49×	`associate-/l/_binary64_14006`
43×	`log-div_binary64_14146` `cube-div_binary64_14088`
42×	`log-prod_binary64_14145`
39×	`associate-/r*_binary64_14003`
31×	`associate-/r/_binary64_14005`
29×	`cube-prod_binary64_14087`
24×	`+-commutative_binary64_13989`
23×	`pow-sqr_binary64_14032`
18×	`distribute-lft-out_binary64_14010`
17×	`*-rgt-identity_binary64_14049`
16×	`pow-plus_binary64_14122`
15×	`/-rgt-identity_binary64_14050`
14×	`unpow3_binary64_14125` `exp-sqrt_binary64_14112`
13×	`difference-of-squares_binary64_14028`
11×	`distribute-neg-in_binary64_14020`
10×	`div-exp_binary64_14110` `prod-exp_binary64_14108` `cube-mult_binary64_14089` `*-lft-identity_binary64_14048` `distribute-rgt-neg-out_binary64_14019`
9×	`distribute-rgt-out--_binary64_14013` `associate-+l+_binary64_13992`
8×	`cube-unmult_binary64_14096` `associate-+r-_binary64_13993` `associate-+r+_binary64_13991`
6×	`exp-sum_binary64_14105`
5×	`associate-+l-_binary64_13994`
4×	`exp-diff_binary64_14107` `*-inverses_binary64_14039`
3×	`unpow2_binary64_14124` `unpow1_binary64_14117` `rec-exp_binary64_14109` `+-rgt-identity_binary64_14044`
2×	`unsub-neg_binary64_14053` `count-2_binary64_14007` `associate--r+_binary64_13995`
1×	`log-pow_binary64_14148` `log-rec_binary64_14147` `1-exp_binary64_14103` `rem-log-exp_binary64_14100` `rem-sqrt-square_binary64_14072` `remove-double-neg_binary64_14047` `distribute-rgt1-in_binary64_14015` `distribute-lft1-in_binary64_14014` `distribute-lft-out--_binary64_14011` `associate--r-_binary64_13998` `associate--l+_binary64_13996`
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_14322` `erf-erfc_binary64_14321` `erf-odd_binary64_14320` `if-if-and-not_binary64_14319` `if-if-and_binary64_14318` `if-if-or-not_binary64_14317` `if-if-or_binary64_14316` `if-not_binary64_14315` `if-same_binary64_14314` `if-false_binary64_14313` `if-true_binary64_14312` `not-gte_binary64_14311` `not-lte_binary64_14310` `not-gt_binary64_14309` `not-lt_binary64_14308` `gte-same_binary64_14307` `lte-same_binary64_14306` `gt-same_binary64_14305` `lt-same_binary64_14304` `sinh---cosh_binary64_14251` `sinh-+-cosh_binary64_14250` `sinh-cosh_binary64_14249` `tanh-def-c_binary64_14248` `tanh-def-b_binary64_14247` `tanh-def-a_binary64_14246` `cosh-def_binary64_14245` `sinh-def_binary64_14244` `tan-neg_binary64_14191` `cos-neg_binary64_14190` `sin-neg_binary64_14189` `tan-0_binary64_14188` `cos-0_binary64_14187` `sin-0_binary64_14186` `hang-m-tan_binary64_14185` `hang-p-tan_binary64_14184` `hang-m0-tan_binary64_14183` `hang-p0-tan_binary64_14182` `hang-0m-tan_binary64_14181` `hang-0p-tan_binary64_14180` `tan-+PI/2_binary64_14179` `tan-+PI_binary64_14178` `tan-PI_binary64_14177` `tan-PI/3_binary64_14176` `tan-PI/4_binary64_14175` `tan-PI/6_binary64_14174` `cos-+PI/2_binary64_14173` `cos-+PI_binary64_14172` `cos-PI_binary64_14171` `cos-PI/2_binary64_14170` `cos-PI/3_binary64_14169` `cos-PI/4_binary64_14168` `cos-PI/6_binary64_14167` `sin-+PI/2_binary64_14166` `sin-+PI_binary64_14165` `sin-PI_binary64_14164` `sin-PI/2_binary64_14163` `sin-PI/3_binary64_14162` `sin-PI/4_binary64_14161` `sin-PI/6_binary64_14160` `sub-1-sin_binary64_14159` `sub-1-cos_binary64_14158` `-1-add-sin_binary64_14157` `-1-add-cos_binary64_14156` `1-sub-sin_binary64_14155` `1-sub-cos_binary64_14154` `cos-sin-sum_binary64_14153` `log-E_binary64_14149` `pow-base-0_binary64_14143` `unpow1/3_binary64_14126` `unpow1/2_binary64_14123` `exp-to-pow_binary64_14121` `pow-base-1_binary64_14119` `unpow0_binary64_14118` `unpow-1_binary64_14116` `exp-lft-cube_binary64_14115` `exp-lft-sqr_binary64_14114` `exp-cbrt_binary64_14113` `exp-neg_binary64_14106` `e-exp-1_binary64_14104` `exp-1-e_binary64_14102` `exp-0_binary64_14101` `rem-exp-log_binary64_14099` `cube-neg_binary64_14086` `rem-3cbrt-rft_binary64_14085` `rem-3cbrt-lft_binary64_14084` `rem-cbrt-cube_binary64_14083` `rem-cube-cbrt_binary64_14082` `sqr-abs_binary64_14074` `sqr-neg_binary64_14073` `rem-square-sqrt_binary64_14071` `mul-1-neg_binary64_14051` `sub0-neg_binary64_14046` `--rgt-identity_binary64_14045` `+-lft-identity_binary64_14043` `mul0-rgt_binary64_14042` `mul0-lft_binary64_14041` `div0_binary64_14040` `+-inverses_binary64_14038` `lft-mult-inverse_binary64_14037` `rgt-mult-inverse_binary64_14036` `remove-double-div_binary64_14035` `difference-of-sqr--1_binary64_14030` `difference-of-sqr-1_binary64_14029` `cancel-sign-sub_binary64_14024` `distribute-frac-neg_binary64_14022` `distribute-neg-out_binary64_14021` `associate--l-_binary64_13997`

Counts

187 → 691

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	4895
1	587	4540
2	2535	4486

prune3.4s (21.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	691	0	691
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	691	3	694

Error

0.0b

Counts

694 → 3

Compiler

Compiled 31052 to 21486 computations (30.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 t (-.f64 (/.f64 x 8) (*.f64 z (/.f64 y 2))))
0.0b	(sqrt.f64 (+.f64 t (-.f64 (/.f64 x 8) (*.f64 z (/.f64 y 2)))))
0.0b	(sqrt.f64 (+.f64 (-.f64 (/.f64 x 8) (*.f64 (/.f64 y 2) z)) t))
0.3b	(.f64 (sqrt.f64 (+.f64 (-.f64 (/.f64 x 8) (.f64 (/.f64 y 2) z)) t)) (sqrt.f64 (+.f64 t (-.f64 (/.f64 x 8) (*.f64 z (/.f64 y 2))))))

rewrite255.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-sqr-sqrt_binary64_14081` `*-un-lft-identity_binary64_14059` `sqrt-prod_binary64_14075`
16×	`sqrt-div_binary64_14076`
10×	`pow1_binary64_14120` `add-cube-cbrt_binary64_14094`
9×	`add-log-exp_binary64_14098` `flip3-+_binary64_14062` `flip-+_binary64_14033`
7×	`associate-l_binary64_14000` `associate-r_binary64_13999`
6×	`add-exp-log_binary64_14097` `add-cbrt-cube_binary64_14095`
5×	`distribute-lft-out_binary64_14010`
4×	`pow1/2_binary64_14139` `sqrt-pow1_binary64_14077` `frac-times_binary64_14069` `unswap-sqr_binary64_14027`
3×	`pow-prod-down_binary64_14130`
2×	`associate-l/_binary64_14002` `associate-r/_binary64_14001` `rem-sqrt-square_binary64_14072` `sum-log_binary64_14150` `associate-+r+_binary64_13991`
1×	`prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `sqrt-unprod_binary64_14079` `*-commutative_binary64_13990` `diff-log_binary64_14151` `associate-+r-_binary64_13993` `sub-neg_binary64_14052` `cancel-sign-sub-inv_binary64_14025` `+-commutative_binary64_13989`

Counts

4 → 88

Calls

4 calls:

24.0ms	(.f64 (sqrt.f64 (+.f64 (-.f64 (/.f64 x 8) (.f64 (/.f64 y 2) z)) t)) (sqrt.f64 (+.f64 t (-.f64 (/.f64 x 8) (*.f64 z (/.f64 y 2))))))
8.0ms	(sqrt.f64 (+.f64 (-.f64 (/.f64 x 8) (*.f64 (/.f64 y 2) z)) t))
8.0ms	(+.f64 t (-.f64 (/.f64 x 8) (*.f64 z (/.f64 y 2))))
7.0ms	(sqrt.f64 (+.f64 t (-.f64 (/.f64 x 8) (*.f64 z (/.f64 y 2)))))

Compiler

Compiled 3656 to 2538 computations (30.6% saved)

series1.4s (8.9%)

Error

0.0b

Counts

4 → 91

Calls

4 calls:

351.0ms	(.f64 (sqrt.f64 (+.f64 (-.f64 (/.f64 x 8) (.f64 (/.f64 y 2) z)) t)) (sqrt.f64 (+.f64 t (-.f64 (/.f64 x 8) (*.f64 z (/.f64 y 2))))))
345.0ms	(+.f64 t (-.f64 (/.f64 x 8) (*.f64 z (/.f64 y 2))))
305.0ms	(sqrt.f64 (+.f64 t (-.f64 (/.f64 x 8) (*.f64 z (/.f64 y 2)))))
280.0ms	(sqrt.f64 (+.f64 (-.f64 (/.f64 x 8) (*.f64 (/.f64 y 2) z)) t))

Compiler

Compiled 5512 to 4274 computations (22.5% saved)

simplify793.0ms (5%)

Algorithm

1×	egg-herbie

Rules

568×	`associate-*l/_binary64_14002`
320×	`cancel-sign-sub-inv_binary64_14025`
275×	`distribute-rgt-in_binary64_14009`
257×	`distribute-lft-in_binary64_14008`
253×	`times-frac_binary64_14065`
223×	`*-commutative_binary64_13990`
197×	`distribute-rgt-neg-in_binary64_14017`
178×	`associate-/l*_binary64_14004`
171×	`distribute-lft-neg-in_binary64_14016`
170×	`associate-/r*_binary64_14003`
156×	`sub-neg_binary64_14052`
145×	`unswap-sqr_binary64_14027`
125×	`distribute-lft-neg-out_binary64_14018`
110×	`unsub-neg_binary64_14053`
106×	`sqr-pow_binary64_14031`
102×	`distribute-rgt-neg-out_binary64_14019` `associate-/r/_binary64_14005` `associate-r_binary64_13999`
100×	`associate-l_binary64_14000`
97×	`neg-mul-1_binary64_14055` `neg-sub0_binary64_14054`
85×	`associate-/l/_binary64_14006`
67×	`associate-+l+_binary64_13992`
59×	`distribute-neg-in_binary64_14020`
57×	`pow-sqr_binary64_14032`
56×	`associate-+r+_binary64_13991`
52×	`exp-prod_binary64_14111`
51×	`associate-*r/_binary64_14001`
49×	`+-commutative_binary64_13989`
34×	`associate--l+_binary64_13996` `associate--r+_binary64_13995`
31×	`exp-sum_binary64_14105`
30×	`swap-sqr_binary64_14026`
29×	`distribute-neg-frac_binary64_14023` `associate-+r-_binary64_13993`
28×	`associate-+l-_binary64_13994`
22×	`*-rgt-identity_binary64_14049` `distribute-rgt-out_binary64_14012`
19×	`*-lft-identity_binary64_14048` `+-rgt-identity_binary64_14044`
17×	`pow-plus_binary64_14122` `exp-diff_binary64_14107`
15×	`log-prod_binary64_14145` `sub0-neg_binary64_14046`
14×	`exp-sqrt_binary64_14112` `distribute-neg-out_binary64_14021`
12×	`cube-prod_binary64_14087`
9×	`unpow3_binary64_14125`
8×	`log-div_binary64_14146` `cube-mult_binary64_14089` `remove-double-neg_binary64_14047`
7×	`cube-div_binary64_14088` `rem-sqrt-square_binary64_14072` `distribute-rgt-out--_binary64_14013`
5×	`rem-square-sqrt_binary64_14071`
4×	`div-exp_binary64_14110` `div-sub_binary64_14064`
3×	`unpow2_binary64_14124` `unpow1_binary64_14117` `prod-exp_binary64_14108` `cube-unmult_binary64_14096` `count-2_binary64_14007` `associate--r-_binary64_13998` `associate--l-_binary64_13997`
2×	`sqr-neg_binary64_14073` `--rgt-identity_binary64_14045` `difference-of-squares_binary64_14028` `distribute-rgt1-in_binary64_14015` `distribute-lft-out_binary64_14010`
1×	`exp-lft-sqr_binary64_14114` `1-exp_binary64_14103` `exp-1-e_binary64_14102` `rem-log-exp_binary64_14100` `/-rgt-identity_binary64_14050` `mul0-rgt_binary64_14042` `mul0-lft_binary64_14041` `*-inverses_binary64_14039` `cancel-sign-sub_binary64_14024` `distribute-lft-out--_binary64_14011`
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_14322` `erf-erfc_binary64_14321` `erf-odd_binary64_14320` `if-if-and-not_binary64_14319` `if-if-and_binary64_14318` `if-if-or-not_binary64_14317` `if-if-or_binary64_14316` `if-not_binary64_14315` `if-same_binary64_14314` `if-false_binary64_14313` `if-true_binary64_14312` `not-gte_binary64_14311` `not-lte_binary64_14310` `not-gt_binary64_14309` `not-lt_binary64_14308` `gte-same_binary64_14307` `lte-same_binary64_14306` `gt-same_binary64_14305` `lt-same_binary64_14304` `sinh---cosh_binary64_14251` `sinh-+-cosh_binary64_14250` `sinh-cosh_binary64_14249` `tanh-def-c_binary64_14248` `tanh-def-b_binary64_14247` `tanh-def-a_binary64_14246` `cosh-def_binary64_14245` `sinh-def_binary64_14244` `tan-neg_binary64_14191` `cos-neg_binary64_14190` `sin-neg_binary64_14189` `tan-0_binary64_14188` `cos-0_binary64_14187` `sin-0_binary64_14186` `hang-m-tan_binary64_14185` `hang-p-tan_binary64_14184` `hang-m0-tan_binary64_14183` `hang-p0-tan_binary64_14182` `hang-0m-tan_binary64_14181` `hang-0p-tan_binary64_14180` `tan-+PI/2_binary64_14179` `tan-+PI_binary64_14178` `tan-PI_binary64_14177` `tan-PI/3_binary64_14176` `tan-PI/4_binary64_14175` `tan-PI/6_binary64_14174` `cos-+PI/2_binary64_14173` `cos-+PI_binary64_14172` `cos-PI_binary64_14171` `cos-PI/2_binary64_14170` `cos-PI/3_binary64_14169` `cos-PI/4_binary64_14168` `cos-PI/6_binary64_14167` `sin-+PI/2_binary64_14166` `sin-+PI_binary64_14165` `sin-PI_binary64_14164` `sin-PI/2_binary64_14163` `sin-PI/3_binary64_14162` `sin-PI/4_binary64_14161` `sin-PI/6_binary64_14160` `sub-1-sin_binary64_14159` `sub-1-cos_binary64_14158` `-1-add-sin_binary64_14157` `-1-add-cos_binary64_14156` `1-sub-sin_binary64_14155` `1-sub-cos_binary64_14154` `cos-sin-sum_binary64_14153` `log-E_binary64_14149` `log-pow_binary64_14148` `log-rec_binary64_14147` `pow-base-0_binary64_14143` `unpow1/3_binary64_14126` `unpow1/2_binary64_14123` `exp-to-pow_binary64_14121` `pow-base-1_binary64_14119` `unpow0_binary64_14118` `unpow-1_binary64_14116` `exp-lft-cube_binary64_14115` `exp-cbrt_binary64_14113` `rec-exp_binary64_14109` `exp-neg_binary64_14106` `e-exp-1_binary64_14104` `exp-0_binary64_14101` `rem-exp-log_binary64_14099` `cube-neg_binary64_14086` `rem-3cbrt-rft_binary64_14085` `rem-3cbrt-lft_binary64_14084` `rem-cbrt-cube_binary64_14083` `rem-cube-cbrt_binary64_14082` `sqr-abs_binary64_14074` `mul-1-neg_binary64_14051` `+-lft-identity_binary64_14043` `div0_binary64_14040` `+-inverses_binary64_14038` `lft-mult-inverse_binary64_14037` `rgt-mult-inverse_binary64_14036` `remove-double-div_binary64_14035` `difference-of-sqr--1_binary64_14030` `difference-of-sqr-1_binary64_14029` `distribute-frac-neg_binary64_14022` `distribute-lft1-in_binary64_14014`

Counts

179 → 552

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	4883
1	398	4638
2	1086	4454
3	2742	4454

prune2.5s (15.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	552	0	552
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	552	3	555

Error

0.0b

Counts

555 → 3

Compiler

Compiled 23551 to 16122 computations (31.5% saved)

regimes548.0ms (3.5%)

Accuracy

Total 0.0b remaining (38.4%)

Threshold costs 0.0b (38.4%)

Compiler

Compiled 4279 to 4047 computations (5.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64_13989`
5×	`sub-neg_binary64_14052` `*-commutative_binary64_13990`
4×	`neg-mul-1_binary64_14055` `neg-sub0_binary64_14054`
2×	`cancel-sign-sub-inv_binary64_14025` `distribute-rgt-neg-in_binary64_14017`
1×	`distribute-neg-frac_binary64_14023` `distribute-lft-neg-out_binary64_14018` `distribute-lft-neg-in_binary64_14016`
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_14319` `if-if-and_binary64_14318` `if-if-or-not_binary64_14317` `if-if-or_binary64_14316` `if-not_binary64_14315` `if-same_binary64_14314` `if-false_binary64_14313` `if-true_binary64_14312` `tan-0_binary64_14188` `cos-0_binary64_14187` `sin-0_binary64_14186` `unpow1_binary64_14117` `e-exp-1_binary64_14104` `1-exp_binary64_14103` `exp-1-e_binary64_14102` `exp-0_binary64_14101` `sqr-abs_binary64_14074` `sqr-neg_binary64_14073` `unsub-neg_binary64_14053` `mul-1-neg_binary64_14051` `/-rgt-identity_binary64_14050` `-rgt-identity_binary64_14049` `-lft-identity_binary64_14048` `remove-double-neg_binary64_14047` `sub0-neg_binary64_14046` `--rgt-identity_binary64_14045` `+-rgt-identity_binary64_14044` `+-lft-identity_binary64_14043` `cancel-sign-sub_binary64_14024` `distribute-frac-neg_binary64_14022` `distribute-neg-out_binary64_14021` `distribute-neg-in_binary64_14020` `distribute-rgt-neg-out_binary64_14019`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	19	16
2	31	16
3	39	16
4	45	16
5	47	16

Proof

(+ f64 (- f64 (/ f64 h0 8) (* f64 (/ f64 h1 2) h2)) h3)

end0.0ms (0%)

sample1.2s (7.8%)

Algorithm

1×

intervals

Results

322.0ms	7998×	body	128	valid
40.0ms	1075×	body	128	invalid
0.0ms	2×	body	1024	valid

Compiler

Compiled 483 to 449 computations (7% saved)

Details

analyze481.0ms (3.1%)

sample24.0ms (0.2%)

simplify888.0ms (5.6%)

prune6.0ms (0%)

localize8.0ms (0%)

rewrite54.0ms (0.3%)

series593.0ms (3.8%)

simplify137.0ms (0.9%)

prune170.0ms (1.1%)

localize14.0ms (0.1%)

rewrite370.0ms (2.3%)

series1.5s (9.5%)

simplify1.3s (8.5%)

prune3.4s (21.9%)

localize14.0ms (0.1%)

rewrite255.0ms (1.6%)

series1.4s (8.9%)

simplify793.0ms (5%)

prune2.5s (15.8%)

regimes548.0ms (3.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.2s (7.8%)

Profiling