Details

analyze1.8s (8.4%)

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

Symmetry

(sort z t)

Compiler

Compiled 20 to 20 computations (0% saved)

sample102.0ms (0.5%)

Algorithm

1×

intervals

Results

23.0ms	63×	body	1024	valid
12.0ms	140×	body	128	valid
10.0ms	80×	body	128	nan
10.0ms	18×	body	2048	valid
6.0ms	22×	body	512	valid
2.0ms	13×	body	256	valid
2.0ms	26×	body	128	invalid

Compiler

Compiled 39 to 45 computations (-15.4% saved)

simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

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

17.4b

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 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
0.4b	(/.f64 (*.f64 z t) 3)
20.9b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

rewrite213.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

15.3b

Rules

19×	`add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
11×	`add-cube-cbrt_binary64_18186` `add-sqr-sqrt_binary64_18173` `*-un-lft-identity_binary64_18151`
9×	`times-frac_binary64_18157` `pow1_binary64_18212`
8×	`cos-sum_binary64_18285`
7×	`cancel-sign-sub-inv_binary64_18117`
5×	`prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
4×	`add-log-exp_binary64_18190` `div-exp_binary64_18202` `cbrt-undiv_binary64_18185` `associate-/l_binary64_18096` `associate-/r_binary64_18095`
3×	`cos-diff_binary64_18288` `div-inv_binary64_18148` `pow-prod-down_binary64_18222` `associate-r_binary64_18091`
2×	`frac-2neg_binary64_18162` `clear-num_binary64_18150`
1×	`sub-neg_binary64_18144` `distribute-rgt-in_binary64_18101` `distribute-lft-in_binary64_18100` `associate-l_binary64_18092` `*-commutative_binary64_18082`

Counts

4 → 78

Calls

4 calls:

9.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
8.0ms	(/.f64 (*.f64 z t) 3)
7.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
4.0ms	(/.f64 a (*.f64 b 3))

Compiler

Compiled 2173 to 1334 computations (38.6% saved)

series679.0ms (3.1%)

Error

14.0b

Counts

4 → 45

Calls

4 calls:

334.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
138.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
74.0ms	(/.f64 a (*.f64 b 3))
72.0ms	(/.f64 (*.f64 z t) 3)

Compiler

Compiled 2890 to 2315 computations (19.9% saved)

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4932	1991
1	4932	1991

prune262.0ms (1.2%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	100	23	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	23	124

Error

13.3b

Counts

124 → 23

Compiler

Compiled 3437 to 2221 computations (35.4% saved)

localize18.0ms (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)))
0.1b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
0.2b	(/.f64 a (*.f64 b 3))

rewrite127.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

13.3b

Rules

13×	`add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
8×	`pow1_binary64_18212` `add-cube-cbrt_binary64_18186` `add-sqr-sqrt_binary64_18173` `*-un-lft-identity_binary64_18151`
7×	`cancel-sign-sub-inv_binary64_18117`
6×	`times-frac_binary64_18157`
5×	`add-log-exp_binary64_18190`
4×	`prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
3×	`associate-/l_binary64_18096` `pow-prod-down_binary64_18222` `associate-r*_binary64_18091`
2×	`div-exp_binary64_18202` `cbrt-undiv_binary64_18185` `div-inv_binary64_18148`
1×	`frac-2neg_binary64_18162` `clear-num_binary64_18150` `associate-/r_binary64_18095` `associate-l_binary64_18092` `-commutative_binary64_18082` `diff-log_binary64_18243` `flip3--_binary64_18155` `sub-neg_binary64_18144` `flip--_binary64_18126`

Counts

3 → 57

Calls

3 calls:

10.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
6.0ms	(/.f64 a (*.f64 b 3))
6.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

Compiler

Compiled 1174 to 678 computations (42.2% saved)

series601.0ms (2.8%)

Error

13.2b

Counts

3 → 36

Calls

3 calls:

396.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
90.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
77.0ms	(/.f64 a (*.f64 b 3))

Compiler

Compiled 1315 to 1166 computations (11.3% saved)

simplify92.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4917	1339
1	4917	1339

prune176.0ms (0.8%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	84	9	93
Fresh	5	17	22
Picked	1	0	1
Done	0	0	0
Total	90	26	116

Error

13.2b

Counts

116 → 26

Compiler

Compiled 2080 to 1317 computations (36.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 1 (/.f64 b (/.f64 a 3))))
0.1b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
0.2b	(/.f64 b (/.f64 a 3))
1.0b	(/.f64 1 (/.f64 b (/.f64 a 3)))

rewrite1.1s (5.2%)

Algorithm

1×	rewrite-expression-head

Error

13.2b

Rules

801×	`times-frac_binary64_18157`
382×	`add-cube-cbrt_binary64_18186` `add-sqr-sqrt_binary64_18173` `*-un-lft-identity_binary64_18151`
137×	`cancel-sign-sub-inv_binary64_18117`
57×	`associate-/r*_binary64_18095`
35×	`add-exp-log_binary64_18189` `div-inv_binary64_18148`
23×	`add-cbrt-cube_binary64_18187`
18×	`div-exp_binary64_18202`
10×	`pow1_binary64_18212` `associate-/r/_binary64_18097`
9×	`cbrt-undiv_binary64_18185`
6×	`add-log-exp_binary64_18190` `associate-/l*_binary64_18096`
3×	`1-exp_binary64_18195` `rec-exp_binary64_18201` `pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `associate-r_binary64_18091`
2×	`frac-2neg_binary64_18162` `clear-num_binary64_18150`
1×	`inv-pow_binary64_18236` `pow-flip_binary64_18225` `associate-l_binary64_18092` `*-commutative_binary64_18082` `diff-log_binary64_18243` `flip3--_binary64_18155` `sub-neg_binary64_18144` `flip--_binary64_18126`

Counts

4 → 440

Calls

4 calls:

50.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 1 (/.f64 b (/.f64 a 3))))
13.0ms	(/.f64 1 (/.f64 b (/.f64 a 3)))
13.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
6.0ms	(/.f64 b (/.f64 a 3))

Compiler

Compiled 12475 to 7918 computations (36.5% saved)

series653.0ms (3%)

Error

13.2b

Counts

4 → 42

Calls

4 calls:

393.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 1 (/.f64 b (/.f64 a 3))))
93.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
70.0ms	(/.f64 b (/.f64 a 3))
58.0ms	(/.f64 1 (/.f64 b (/.f64 a 3)))

Compiler

Compiled 1631 to 1465 computations (10.2% saved)

simplify152.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

482 → 482

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5593	10820

prune939.0ms (4.3%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	481	1	482
Fresh	0	25	25
Picked	0	1	1
Done	0	0	0
Total	481	27	508

Error

13.1b

Counts

508 → 27

Compiler

Compiled 11985 to 6967 computations (41.9% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
0.1b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
0.3b	(*.f64 (/.f64 1 b) (/.f64 a 3))

rewrite158.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

13.1b

Rules

35×	`add-sqr-sqrt_binary64_18173`
30×	`add-exp-log_binary64_18189`
25×	`times-frac_binary64_18157`
20×	`add-cbrt-cube_binary64_18187` `*-un-lft-identity_binary64_18151`
18×	`add-cube-cbrt_binary64_18186`
16×	`associate-r_binary64_18091`
14×	`associate-l_binary64_18092`
11×	`prod-exp_binary64_18200`
10×	`pow1_binary64_18212`
8×	`div-exp_binary64_18202`
7×	`cbrt-unprod_binary64_18184`
6×	`unswap-sqr_binary64_18119`
5×	`add-log-exp_binary64_18190`
4×	`pow-prod-down_binary64_18222` `cbrt-undiv_binary64_18185`
2×	`1-exp_binary64_18195` `rec-exp_binary64_18201` `div-inv_binary64_18148` `*-commutative_binary64_18082`
1×	`frac-times_binary64_18161` `associate-l/_binary64_18094` `associate-r/_binary64_18093` `diff-log_binary64_18243` `flip3--_binary64_18155` `sub-neg_binary64_18144` `flip--_binary64_18126` `cancel-sign-sub-inv_binary64_18117`

Counts

3 → 86

Calls

3 calls:

12.0ms	(*.f64 (/.f64 1 b) (/.f64 a 3))
7.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
7.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

Compiler

Compiled 2020 to 1285 computations (36.4% saved)

series594.0ms (2.7%)

Error

13.1b

Counts

3 → 36

Calls

3 calls:

402.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (*.f64 (/.f64 1 b) (/.f64 a 3)))
86.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
77.0ms	(*.f64 (/.f64 1 b) (/.f64 a 3))

Compiler

Compiled 1361 to 1212 computations (10.9% saved)

simplify143.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4942	1737
1	4942	1737

prune120.0ms (0.6%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	25	25
Picked	0	1	1
Done	0	1	1
Total	122	27	149

Error

13.1b

Counts

149 → 27

Compiler

Compiled 2157 to 1193 computations (44.7% saved)

regimes6.2s (28.5%)

Accuracy

Total 1.8b remaining (11.1%)

Threshold costs 0b (0%)

Compiler

Compiled 55657 to 51818 computations (6.9% saved)

bsearch6.0ms (0%)

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	158	98
1	158	98

Compiler

Compiled 128 to 94 computations (26.6% saved)

end0.0ms (0%)

sample7.4s (33.8%)

Algorithm

1×

intervals

Results

720.0ms	1625×	body	1024	valid
481.0ms	4678×	body	128	valid
413.0ms	667×	body	2048	valid
234.0ms	2341×	body	128	nan
223.0ms	717×	body	512	valid
121.0ms	1209×	body	128	invalid
65.0ms	313×	body	256	valid

Compiler

Compiled 3250 to 2995 computations (7.8% saved)

Details

analyze1.8s (8.4%)

sample102.0ms (0.5%)

simplify69.0ms (0.3%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite213.0ms (1%)

series679.0ms (3.1%)

simplify96.0ms (0.4%)

prune262.0ms (1.2%)

localize18.0ms (0.1%)

rewrite127.0ms (0.6%)

series601.0ms (2.8%)

simplify92.0ms (0.4%)

prune176.0ms (0.8%)

localize13.0ms (0.1%)

rewrite1.1s (5.2%)

series653.0ms (3%)

simplify152.0ms (0.7%)

prune939.0ms (4.3%)

localize14.0ms (0.1%)

rewrite158.0ms (0.7%)

series594.0ms (2.7%)

simplify143.0ms (0.7%)

prune120.0ms (0.6%)

regimes6.2s (28.5%)

bsearch6.0ms (0%)

simplify15.0ms (0.1%)

end0.0ms (0%)

sample7.4s (33.8%)

Profiling