Details

analyze919.0ms (10%)

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
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

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

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify379.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (279.0ms)

Iter	Nodes	Cost
0	5599	16

prune2.0ms (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

1.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.2b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.2b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_11748`
70×	`*-un-lft-identity_binary64_11726`
51×	`times-frac_binary64_11732`
31×	`associate-r_binary64_11666`
26×	`add-cube-cbrt_binary64_11761`
22×	`distribute-lft-out--_binary64_11678` `difference-of-squares_binary64_11695`
9×	`add-exp-log_binary64_11764` `add-cbrt-cube_binary64_11762`
5×	`associate-/l_binary64_11671` `associate-/r_binary64_11670`
4×	`pow1_binary64_11787` `associate-/r/_binary64_11672`
3×	`flip3--_binary64_11730` `flip--_binary64_11701` `associate-l_binary64_11667`
2×	`add-log-exp_binary64_11765` `associate-/l/_binary64_11673` `cbrt-undiv_binary64_11760` `div-inv_binary64_11723` `prod-exp_binary64_11775` `cbrt-unprod_binary64_11759` `div-exp_binary64_11777` `unswap-sqr_binary64_11694`
1×	`clear-num_binary64_11725` `-commutative_binary64_11657` `div-sub_binary64_11731` `pow-prod-down_binary64_11797` `associate-r/_binary64_11668` `frac-2neg_binary64_11737`

Counts

2 → 102

Calls

4 calls:

15.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
0.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
0.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

series492.0ms (5.4%)

Counts

2 → 61

Calls

2 calls:

305.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
187.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

Compiler

Compiled 1900 to 1431 computations (24.7% saved)

simplify85.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5076	3505

prune169.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	159	4	163
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	159	5	164

Error

Counts

164 → 5

Compiler

Compiled 3425 to 889 computations (74% saved)

localize18.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))
0.2b	(/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t))))
0.2b	(/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t)))
0.2b	(.f64 (.f64 y (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t))))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))
0.6b	(cbrt.f64 (-.f64 a t))
0.6b	(cbrt.f64 (-.f64 a t))
0.6b	(cbrt.f64 (-.f64 a t))
0.9b	(.f64 y (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))))

rewrite44.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_11764`
18×	`add-sqr-sqrt_binary64_11748` `cbrt-div_binary64_11758`
15×	`cbrt-prod_binary64_11757` `*-un-lft-identity_binary64_11726`
14×	`add-cbrt-cube_binary64_11762`
13×	`associate-r_binary64_11666`
9×	`add-cube-cbrt_binary64_11761` `flip3--_binary64_11730` `prod-exp_binary64_11775` `cbrt-unprod_binary64_11759` `flip--_binary64_11701`
8×	`associate-/r/_binary64_11672`
6×	`pow1_binary64_11787`
4×	`frac-times_binary64_11736` `add-log-exp_binary64_11765` `cbrt-undiv_binary64_11760` `div-exp_binary64_11777`
3×	`distribute-lft-out--_binary64_11678` `associate-r/_binary64_11668` `difference-of-squares_binary64_11695` `pow1/3_binary64_11808` `associate-l*_binary64_11667`
2×	`associate-*l/_binary64_11669` `times-frac_binary64_11732` `unswap-sqr_binary64_11694`
1×	`*-commutative_binary64_11657` `pow-prod-down_binary64_11797` `div-inv_binary64_11723`

Counts

4 → 83

Calls

8 calls:

23.0ms	(.f64 y (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))))
3.0ms	(cbrt.f64 (-.f64 a t))
3.0ms	(cbrt.f64 (-.f64 a t))
3.0ms	(cbrt.f64 (-.f64 a t))
0.0ms	(.f64 (.f64 y (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t))))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))

series1.6s (17.1%)

Counts

4 → 56

Calls

4 calls:

1.2s	(.f64 y (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))))
116.0ms	(cbrt.f64 (-.f64 a t))
113.0ms	(cbrt.f64 (-.f64 a t))
112.0ms	(cbrt.f64 (-.f64 a t))

Compiler

Compiled 4781 to 3371 computations (29.5% saved)

simplify101.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5011	3221

prune169.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	139	5	144

Error

Counts

144 → 5

Compiler

Compiled 5556 to 1405 computations (74.7% saved)

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (.f64 (cbrt.f64 (.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))) (cbrt.f64 (.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))) (cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.2b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
5.2b	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
5.2b	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
5.2b	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

rewrite57.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_11748`
36×	`*-un-lft-identity_binary64_11726`
31×	`associate-r_binary64_11666`
26×	`times-frac_binary64_11732`
16×	`add-cube-cbrt_binary64_11761`
10×	`distribute-lft-out--_binary64_11678` `difference-of-squares_binary64_11695`
9×	`add-exp-log_binary64_11764` `add-cbrt-cube_binary64_11762`
6×	`pow1_binary64_11787`
4×	`associate-*r/_binary64_11668` `add-log-exp_binary64_11765`
3×	`cbrt-div_binary64_11758` `cbrt-prod_binary64_11757` `pow1/3_binary64_11808` `associate-l_binary64_11667`
2×	`prod-exp_binary64_11775` `cbrt-unprod_binary64_11759` `associate-/r/_binary64_11672` `unswap-sqr_binary64_11694`
1×	`*-commutative_binary64_11657` `pow-prod-down_binary64_11797` `flip3--_binary64_11730` `cbrt-undiv_binary64_11760` `div-inv_binary64_11723` `div-exp_binary64_11777` `flip--_binary64_11701`

Counts

4 → 80

Calls

8 calls:

18.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
9.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
9.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
9.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

series1.8s (19.1%)

Counts

4 → 87

Calls

4 calls:

489.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
480.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
477.0ms	(cbrt.f64 (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
307.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

Compiler

Compiled 7560 to 4384 computations (42% saved)

simplify85.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4985	3584
1	4985	3584

prune176.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	167	5	172

Error

Counts

172 → 5

Compiler

Compiled 6981 to 989 computations (85.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

10.5b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
0.0b	(*.f64 y (-.f64 z t))
0.0b	(*.f64 y (-.f64 z t))
10.5b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite22.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_11748`
14×	`*-un-lft-identity_binary64_11726`
9×	`add-exp-log_binary64_11764` `add-cbrt-cube_binary64_11762`
8×	`add-cube-cbrt_binary64_11761`
6×	`cancel-sign-sub-inv_binary64_11692`
5×	`associate-r_binary64_11666` `times-frac_binary64_11732` `associate-/r*_binary64_11670`
4×	`distribute-rgt-in_binary64_11676` `associate-*r/_binary64_11668` `distribute-lft-in_binary64_11675` `pow1_binary64_11787`
3×	`distribute-lft-out--_binary64_11678` `flip3--_binary64_11730` `difference-of-squares_binary64_11695` `flip--_binary64_11701` `associate-l_binary64_11667`
2×	`add-log-exp_binary64_11765` `associate-/l/_binary64_11673` `cbrt-undiv_binary64_11760` `prod-exp_binary64_11775` `cbrt-unprod_binary64_11759` `div-exp_binary64_11777` `associate-/r/_binary64_11672` `sub-neg_binary64_11719`
1×	`clear-num_binary64_11725` `-commutative_binary64_11657` `pow-prod-down_binary64_11797` `associate-/l_binary64_11671` `div-inv_binary64_11723` `frac-2neg_binary64_11737` `unswap-sqr_binary64_11694`

Counts

2 → 59

Calls

4 calls:

10.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
7.0ms	(*.f64 y (-.f64 z t))
0.0ms	(*.f64 y (-.f64 z t))
0.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

series397.0ms (4.3%)

Counts

2 → 48

Calls

2 calls:

298.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
99.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 1341 to 1015 computations (24.3% saved)

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5061	1963

prune82.0ms (0.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	107	5	112

Error

Counts

112 → 5

Compiler

Compiled 1919 to 473 computations (75.4% saved)

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	1521	589
1	1521	589

regimes384.0ms (4.2%)

Accuracy

Total 0.6b remaining (99.1%)

Threshold costs 0.6b (99.1%)

Compiler

Compiled 3518 to 2813 computations (20% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	52
1	32	52

end0.0ms (0%)

sample2.1s (22.4%)

Algorithm

1×

intervals

Results

312.0ms	7997×	body	128	valid
27.0ms	755×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 1249 to 961 computations (23.1% saved)

Pareto

0.6433250260512732

Details

analyze919.0ms (10%)

sample24.0ms (0.3%)

simplify379.0ms (4.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite35.0ms (0.4%)

series492.0ms (5.4%)

simplify85.0ms (0.9%)

prune169.0ms (1.8%)

localize18.0ms (0.2%)

rewrite44.0ms (0.5%)

series1.6s (17.1%)

simplify101.0ms (1.1%)

prune169.0ms (1.8%)

localize14.0ms (0.2%)

rewrite57.0ms (0.6%)

series1.8s (19.1%)

simplify85.0ms (0.9%)

prune176.0ms (1.9%)

localize9.0ms (0.1%)

rewrite22.0ms (0.2%)

series397.0ms (4.3%)

simplify67.0ms (0.7%)

prune82.0ms (0.9%)

simplify55.0ms (0.6%)

regimes384.0ms (4.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.1s (22.4%)

Profiling