Details

analyze2.2s (14.8%)

Algorithm

1×

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
5.1%	94.6%	0.3%	13
7%	92.7%	0.3%	14

Compiler

Compiled 19 to 19 computations (0% saved)

sample55.0ms (0.4%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
8.0ms	111×	body	128	nan
4.0ms	47×	body	128	invalid

Compiler

Compiled 37 to 43 computations (-16.2% saved)

simplify133.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	6100	27

prune3.0ms (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

Merged error: 10.8b

Counts

2 → 1

Compiler

Compiled 36 to 36 computations (0% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
3.3b	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
3.4b	(/.f64 (.f64 M D) (.f64 2 d))
10.1b	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))

rewrite46.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`add-exp-log_binary64_1139`
38×	`add-sqr-sqrt_binary64_1123`
27×	`prod-exp_binary64_1150`
23×	`add-cbrt-cube_binary64_1137`
19×	`associate-r_binary64_1041` `div-exp_binary64_1152`
17×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
15×	`times-frac_binary64_1107`
13×	`associate-l_binary64_1042`
10×	`pow-exp_binary64_1169` `unswap-sqr_binary64_1069`
7×	`cbrt-unprod_binary64_1134` `unpow-prod-down_binary64_1180` `pow1_binary64_1162` `sqrt-prod_binary64_1117`
5×	`cbrt-undiv_binary64_1135`
4×	`add-log-exp_binary64_1140` `sqrt-div_binary64_1118`
3×	`associate-*r/_binary64_1043` `div-inv_binary64_1098` `sqr-pow_binary64_1073` `unpow2_binary64_1166`
2×	`*-commutative_binary64_1032` `flip--_binary64_1076` `flip3--_binary64_1105` `pow-to-exp_binary64_1170`
1×	`rem-sqrt-square_binary64_1114` `frac-2neg_binary64_1112` `sqrt-pow1_binary64_1119` `clear-num_binary64_1100` `associate-/l_binary64_1046` `pow-prod-down_binary64_1172` `associate-/r_binary64_1045` `pow1/2_binary64_1181`

Counts

4 → 116

Calls

4 calls:

16.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
8.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))
4.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))

series1.5s (10.4%)

Counts

4 → 65

Calls

4 calls:

576.0ms	(.f64 w0 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (.f64 2 d)) 2) (/.f64 h l)))))
528.0ms	(.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))
306.0ms	(sqrt.f64 (-.f64 1 (.f64 (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2) (/.f64 h l))))
114.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 2932 to 2809 computations (4.2% saved)

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5003	4101

prune236.0ms (1.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	167	14	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	168	14	182

Merged error: 4.9b

Counts

182 → 14

Compiler

Compiled 4411 to 2415 computations (45.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.3b	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)))
3.4b	(/.f64 (.f64 M D) (.f64 2 d))
4.8b	(.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2))
5.5b	(/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)

rewrite38.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`add-exp-log_binary64_1139`
26×	`prod-exp_binary64_1150`
23×	`add-cbrt-cube_binary64_1137`
20×	`add-sqr-sqrt_binary64_1123` `div-exp_binary64_1152`
13×	`*-un-lft-identity_binary64_1101`
10×	`pow-exp_binary64_1169` `add-cube-cbrt_binary64_1136` `associate-r_binary64_1041`
6×	`cbrt-unprod_binary64_1134` `unpow-prod-down_binary64_1180` `sqrt-prod_binary64_1117` `cbrt-undiv_binary64_1135`
5×	`pow1_binary64_1162` `times-frac_binary64_1107`
4×	`add-log-exp_binary64_1140` `unswap-sqr_binary64_1069` `associate-/r*_binary64_1045`
3×	`div-inv_binary64_1098` `associate-l_binary64_1042`
2×	`difference-of-squares_binary64_1070` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l*_binary64_1046` `sqrt-div_binary64_1118` `sqr-pow_binary64_1073` `pow-to-exp_binary64_1170` `unpow2_binary64_1166`
1×	`*-commutative_binary64_1032` `rem-sqrt-square_binary64_1114` `sqrt-pow1_binary64_1119` `distribute-lft-out--_binary64_1053` `flip--_binary64_1076` `flip3--_binary64_1105` `pow1/2_binary64_1181`

Counts

4 → 99

Calls

4 calls:

8.0ms	(.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2))
8.0ms	(/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)
7.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)))
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))

series1.3s (9%)

Counts

4 → 55

Calls

4 calls:

536.0ms	(/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)
357.0ms	(.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2))
297.0ms	(sqrt.f64 (-.f64 1 (/.f64 (.f64 h (pow.f64 (/.f64 (.f64 M D) (*.f64 2 d)) 2)) l)))
123.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 2402 to 2354 computations (2% saved)

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4992	3090
1	4992	3090

prune195.0ms (1.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	149	5	154
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	155	13	168

Merged error: 4.4b

Counts

168 → 13

Compiler

Compiled 3686 to 2219 computations (39.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b	(/.f64 (.f64 M D) (.f64 2 d))
3.4b	(/.f64 (.f64 M D) (.f64 2 d))
5.5b	(/.f64 (.f64 (.f64 h (/.f64 (.f64 M D) (.f64 2 d))) (/.f64 (.f64 M D) (.f64 2 d))) l)
6.4b	(.f64 h (/.f64 (.f64 M D) (*.f64 2 d)))

rewrite69.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

251×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
116×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
87×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
10×	`add-sqr-sqrt_binary64_1123`
8×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
6×	`pow1_binary64_1162` `times-frac_binary64_1107`
5×	`associate-r_binary64_1041` `associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140` `associate-*r/_binary64_1043` `div-inv_binary64_1098`
3×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `associate-/l_binary64_1046` `associate-l*_binary64_1042`
1×	`-commutative_binary64_1032` `frac-times_binary64_1111` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `associate-l/_binary64_1044`

Counts

4 → 153

Calls

4 calls:

22.0ms	(/.f64 (.f64 (.f64 h (/.f64 (.f64 M D) (.f64 2 d))) (/.f64 (.f64 M D) (.f64 2 d))) l)
9.0ms	(.f64 h (/.f64 (.f64 M D) (*.f64 2 d)))
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))
6.0ms	(/.f64 (.f64 M D) (.f64 2 d))

series1.0s (6.8%)

Counts

4 → 45

Calls

4 calls:

545.0ms	(/.f64 (.f64 (.f64 h (/.f64 (.f64 M D) (.f64 2 d))) (/.f64 (.f64 M D) (.f64 2 d))) l)
218.0ms	(.f64 h (/.f64 (.f64 M D) (*.f64 2 d)))
124.0ms	(/.f64 (.f64 M D) (.f64 2 d))
113.0ms	(/.f64 (.f64 M D) (.f64 2 d))

Compiler

Compiled 2100 to 1896 computations (9.7% saved)

simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5094	4336

prune291.0ms (2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	196	2	198
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	196	15	211

Merged error: 4.4b

Counts

211 → 15

Compiler

Compiled 5730 to 3396 computations (40.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.4b	(.f64 h (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))))
5.5b	(/.f64 (.f64 (.f64 h (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d))))) (pow.f64 (cbrt.f64 (/.f64 (.f64 M D) (*.f64 2 d))) 2)) l)
18.2b	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))
18.2b	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))

rewrite271.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

144×	`add-exp-log_binary64_1139`
81×	`prod-exp_binary64_1150`
61×	`add-cbrt-cube_binary64_1137`
38×	`div-exp_binary64_1152`
37×	`cbrt-unprod_binary64_1134`
16×	`cbrt-undiv_binary64_1135`
10×	`cbrt-prod_binary64_1132`
9×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136`
8×	`associate-*r/_binary64_1043`
7×	`pow-exp_binary64_1169` `pow-to-exp_binary64_1170`
6×	`cbrt-div_binary64_1133`
5×	`times-frac_binary64_1107` `associate-*l/_binary64_1044`
4×	`add-log-exp_binary64_1140`
3×	`associate-/l/_binary64_1048` `div-inv_binary64_1098` `pow-prod-down_binary64_1172` `associate-l_binary64_1042` `associate-/r*_binary64_1045`
2×	`pow1/3_binary64_1183` `frac-times_binary64_1111`
1×	`-commutative_binary64_1032` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `associate-r_binary64_1041`

Counts

4 → 107

Calls

4 calls:

233.0ms	(/.f64 (.f64 (.f64 h (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d))))) (pow.f64 (cbrt.f64 (/.f64 (.f64 M D) (*.f64 2 d))) 2)) l)
13.0ms	(.f64 h (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))))
5.0ms	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))
4.0ms	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))

series2.9s (19.7%)

Counts

4 → 45

Calls

4 calls:

1.1s	(.f64 h (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))))
900.0ms	(/.f64 (.f64 (.f64 h (.f64 (/.f64 (.f64 M D) (.f64 2 d)) (cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d))))) (pow.f64 (cbrt.f64 (/.f64 (.f64 M D) (*.f64 2 d))) 2)) l)
450.0ms	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))
446.0ms	(cbrt.f64 (/.f64 (.f64 M D) (.f64 2 d)))

Compiler

Compiled 3252 to 2916 computations (10.3% saved)

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4973	3285
1	4973	3285

prune244.0ms (1.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	152	15	167

Merged error: 4.4b

Counts

167 → 15

Compiler

Compiled 4939 to 3023 computations (38.8% saved)

regimes1.3s (9.2%)

Compiler: Compiled 16379 to 14548 computations (11.2% saved)

bsearch66.0ms (0.5%)

Steps

Iters	Range		Point
9	-3.2665456604143507e-254	-8.616986218563241e-264	-5.8810653683878604e-263
8	#hash((type . real) (value . -inf))	-6.9325963713624245e+305	-1.7836038360278573e+308

Compiler

Compiled 3 to 7 computations (-133.3% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	101	56
1	101	56

end0.0ms (0%)

sample2.3s (16%)

Algorithm

1×

intervals

Results

618.0ms	8000×	body	128	valid
248.0ms	3237×	body	128	nan
107.0ms	1346×	body	128	invalid

Compiler

Compiled 1085 to 950 computations (12.4% saved)

Details

analyze2.2s (14.8%)

sample55.0ms (0.4%)

simplify133.0ms (0.9%)

prune3.0ms (0%)

localize14.0ms (0.1%)

rewrite46.0ms (0.3%)

series1.5s (10.4%)

simplify89.0ms (0.6%)

prune236.0ms (1.6%)

localize14.0ms (0.1%)

rewrite38.0ms (0.3%)

series1.3s (9%)

simplify79.0ms (0.5%)

prune195.0ms (1.3%)

localize14.0ms (0.1%)

rewrite69.0ms (0.5%)

series1.0s (6.8%)

simplify87.0ms (0.6%)

prune291.0ms (2%)

localize18.0ms (0.1%)

rewrite271.0ms (1.9%)

series2.9s (19.7%)

simplify100.0ms (0.7%)

prune244.0ms (1.7%)

regimes1.3s (9.2%)

bsearch66.0ms (0.5%)

simplify7.0ms (0%)

end0.0ms (0%)

sample2.3s (16%)

Profiling