Details

analyze1.3s (7.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4881	464
1	4881	464
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%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14

Compiler

Compiled 20 to 20 computations (0% saved)

sample90.0ms (0.5%)

Algorithm

1×

intervals

Results

21.0ms	48×	body	1024	valid
13.0ms	27×	body	2048	valid
12.0ms	150×	body	128	valid
6.0ms	80×	body	128	nan
4.0ms	17×	body	512	valid
2.0ms	31×	body	128	invalid
2.0ms	14×	body	256	valid

Compiler

Compiled 39 to 45 computations (-15.4% saved)

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	757	29
1	757	29

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

19.7b

Counts

2 → 1

Compiler

Compiled 38 to 38 computations (0% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 a (*.f64 b 3))
0.2b	(/.f64 (*.f64 z t) 3)
0.3b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
23.6b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

rewrite185.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

17.3b

Rules

19×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
11×	`add-cube-cbrt_binary64_19891` `add-sqr-sqrt_binary64_19878` `*-un-lft-identity_binary64_19856`
9×	`times-frac_binary64_19862` `pow1_binary64_19917`
8×	`cos-sum_binary64_19990`
7×	`cancel-sign-sub-inv_binary64_19822`
5×	`prod-exp_binary64_19905` `cbrt-unprod_binary64_19889`
4×	`add-log-exp_binary64_19895` `div-exp_binary64_19907` `cbrt-undiv_binary64_19890` `associate-/l_binary64_19801` `associate-/r_binary64_19800`
3×	`cos-diff_binary64_19993` `div-inv_binary64_19853` `pow-prod-down_binary64_19927` `associate-r_binary64_19796`
2×	`frac-2neg_binary64_19867` `clear-num_binary64_19855`
1×	`sub-neg_binary64_19849` `distribute-rgt-in_binary64_19806` `distribute-lft-in_binary64_19805` `associate-l_binary64_19797` `*-commutative_binary64_19787`

Counts

4 → 78

Calls

4 calls:

9.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
7.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
4.0ms	(/.f64 (*.f64 z t) 3)
4.0ms	(/.f64 a (*.f64 b 3))

Compiler

Compiled 2173 to 1334 computations (38.6% saved)

series521.0ms (3.2%)

Error

16.6b

Counts

4 → 45

Calls

4 calls:

251.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
107.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
58.0ms	(/.f64 a (*.f64 b 3))
54.0ms	(/.f64 (*.f64 z t) 3)

Compiler

Compiled 2890 to 2315 computations (19.9% saved)

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4932	1991
1	4932	1991

prune205.0ms (1.2%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	101	22	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	22	124

Error

15.2b

Counts

124 → 22

Compiler

Compiled 3424 to 2202 computations (35.7% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
0.2b	(/.f64 a (*.f64 b 3))
0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

rewrite97.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

15.2b

Rules

13×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
8×	`pow1_binary64_19917` `add-cube-cbrt_binary64_19891` `add-sqr-sqrt_binary64_19878` `*-un-lft-identity_binary64_19856`
7×	`cancel-sign-sub-inv_binary64_19822`
6×	`times-frac_binary64_19862`
5×	`add-log-exp_binary64_19895`
4×	`prod-exp_binary64_19905` `cbrt-unprod_binary64_19889`
3×	`pow-prod-down_binary64_19927` `associate-r_binary64_19796` `associate-/l*_binary64_19801`
2×	`div-exp_binary64_19907` `cbrt-undiv_binary64_19890` `div-inv_binary64_19853`
1×	`associate-l_binary64_19797` `-commutative_binary64_19787` `frac-2neg_binary64_19867` `clear-num_binary64_19855` `associate-/r_binary64_19800` `diff-log_binary64_19948` `flip3--_binary64_19860` `sub-neg_binary64_19849` `flip--_binary64_19831`

Counts

3 → 57

Calls

3 calls:

9.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
6.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
4.0ms	(/.f64 a (*.f64 b 3))

Compiler

Compiled 1174 to 678 computations (42.2% saved)

series655.0ms (4%)

Error

15.0b

Counts

3 → 32

Calls

3 calls:

301.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
268.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
60.0ms	(/.f64 a (*.f64 b 3))

Compiler

Compiled 1123 to 1034 computations (7.9% saved)

simplify88.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4915	1209
1	4915	1209

prune127.0ms (0.8%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	76	13	89
Fresh	5	16	21
Picked	1	0	1
Done	0	0	0
Total	82	29	111

Error

15.0b

Counts

111 → 29

Compiler

Compiled 2057 to 1321 computations (35.8% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
0.2b	(/.f64 (/.f64 a b) 3)

rewrite208.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

15.0b

Rules

141×	`times-frac_binary64_19862`
81×	`add-cube-cbrt_binary64_19891` `add-sqr-sqrt_binary64_19878` `*-un-lft-identity_binary64_19856`
43×	`cancel-sign-sub-inv_binary64_19822`
13×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892` `associate-/l*_binary64_19801`
9×	`div-inv_binary64_19853`
8×	`pow1_binary64_19917`
5×	`add-log-exp_binary64_19895`
3×	`div-exp_binary64_19907` `cbrt-undiv_binary64_19890` `associate-/r_binary64_19800` `pow-prod-down_binary64_19927` `prod-exp_binary64_19905` `cbrt-unprod_binary64_19889` `associate-r*_binary64_19796`
1×	`frac-2neg_binary64_19867` `clear-num_binary64_19855` `associate-/l/_binary64_19803` `associate-l_binary64_19797` `*-commutative_binary64_19787` `diff-log_binary64_19948` `flip3--_binary64_19860` `sub-neg_binary64_19849` `flip--_binary64_19831`

Counts

3 → 142

Calls

3 calls:

16.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
6.0ms	(/.f64 (/.f64 a b) 3)
6.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

Compiler

Compiled 3320 to 1701 computations (48.8% saved)

series452.0ms (2.7%)

Error

15.0b

Counts

3 → 32

Calls

3 calls:

294.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
74.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
63.0ms	(/.f64 (/.f64 a b) 3)

Compiler

Compiled 1123 to 1027 computations (8.5% saved)

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5215	2940

prune201.0ms (1.2%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	172	2	174
Fresh	2	26	28
Picked	0	1	1
Done	0	0	0
Total	174	29	203

Error

15.0b

Counts

203 → 29

Compiler

Compiled 3936 to 2217 computations (43.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))
0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
0.2b	(*.f64 a (/.f64 1/3 b))
0.4b	(/.f64 1/3 b)

rewrite121.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

15.0b

Rules

26×	`add-sqr-sqrt_binary64_19878`
21×	`add-cube-cbrt_binary64_19891` `*-un-lft-identity_binary64_19856`
19×	`times-frac_binary64_19862`
16×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892` `associate-r_binary64_19796`
11×	`pow1_binary64_19917`
6×	`add-log-exp_binary64_19895`
5×	`prod-exp_binary64_19905` `cbrt-unprod_binary64_19889`
4×	`pow-prod-down_binary64_19927` `associate-l_binary64_19797`
3×	`associate-/l_binary64_19801` `associate-/r_binary64_19800`
2×	`div-exp_binary64_19907` `cbrt-undiv_binary64_19890` `div-inv_binary64_19853` `unswap-sqr_binary64_19824` `*-commutative_binary64_19787`
1×	`frac-2neg_binary64_19867` `clear-num_binary64_19855` `associate-*r/_binary64_19798` `diff-log_binary64_19948` `flip3--_binary64_19860` `sub-neg_binary64_19849` `flip--_binary64_19831` `cancel-sign-sub-inv_binary64_19822`

Counts

4 → 89

Calls

4 calls:

7.0ms	(*.f64 a (/.f64 1/3 b))
6.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
6.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))
3.0ms	(/.f64 1/3 b)

Compiler

Compiled 1804 to 1060 computations (41.2% saved)

series470.0ms (2.8%)

Error

15.0b

Counts

4 → 35

Calls

4 calls:

292.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 a (/.f64 1/3 b)))
75.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
61.0ms	(*.f64 a (/.f64 1/3 b))
20.0ms	(/.f64 1/3 b)

Compiler

Compiled 1240 to 1145 computations (7.7% saved)

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4996	1564
1	4996	1564

prune106.0ms (0.6%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	26	27
Picked	1	0	1
Done	0	1	1
Total	125	28	153

Error

15.0b

Counts

153 → 28

Compiler

Compiled 2036 to 1087 computations (46.6% saved)

regimes5.6s (33.6%)

Accuracy

Total 1.9b remaining (11.3%)

Threshold costs 0b (0%)

Compiler

Compiled 61280 to 56399 computations (8% saved)

bsearch6.0ms (0%)

Compiler: Compiled 3 to 7 computations (-133.3% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	146	150
1	146	150

Compiler

Compiled 188 to 136 computations (27.7% saved)

end0.0ms (0%)

sample5.8s (35.2%)

Algorithm

1×

intervals

Results

542.0ms	1617×	body	1024	valid
363.0ms	4554×	body	128	valid
350.0ms	741×	body	2048	valid
184.0ms	2321×	body	128	nan
182.0ms	719×	body	512	valid
88.0ms	1128×	body	128	invalid
62.0ms	369×	body	256	valid

Compiler

Compiled 3575 to 3256 computations (8.9% saved)

Details

analyze1.3s (7.7%)

sample90.0ms (0.5%)

simplify50.0ms (0.3%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite185.0ms (1.1%)

series521.0ms (3.2%)

simplify80.0ms (0.5%)

prune205.0ms (1.2%)

localize11.0ms (0.1%)

rewrite97.0ms (0.6%)

series655.0ms (4%)

simplify88.0ms (0.5%)

prune127.0ms (0.8%)

localize13.0ms (0.1%)

rewrite208.0ms (1.3%)

series452.0ms (2.7%)

simplify81.0ms (0.5%)

prune201.0ms (1.2%)

localize10.0ms (0.1%)

rewrite121.0ms (0.7%)

series470.0ms (2.8%)

simplify80.0ms (0.5%)

prune106.0ms (0.6%)

regimes5.6s (33.6%)

bsearch6.0ms (0%)

simplify18.0ms (0.1%)

end0.0ms (0%)

sample5.8s (35.2%)

Profiling