Details

analyze756.0ms (15.9%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14
65.2%	20.4%	14.4%	14

Compiler

Compiled 20 to 18 computations (10% saved)

sample393.0ms (8.3%)

Algorithm

2×

intervals

Results

14.0ms	512×	body	128	valid
5.0ms	135×	body	128	invalid

Compiler

Compiled 3159 to 3788 computations (-19.9% saved)

simplify19.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune3.0ms (0.1%)

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

0.0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
0.0b	(*.f64 (-.f64 x 1) z)

rewrite46.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-sqr-sqrt_binary64_3510`
7×	`-un-lft-identity_binary64_3488` `associate-l*_binary64_3429`
4×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523`
3×	`associate-r_binary64_3428`
2×	`associate-*l/_binary64_3431` `difference-of-squares_binary64_3457`
1×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `unswap-sqr_binary64_3456` `flip3--_binary64_3492` `flip--_binary64_3463` `difference-of-sqr-1_binary64_3458` `distribute-lft-out--_binary64_3440` `*-commutative_binary64_3419` `sum-log_binary64_3579` `flip3-+_binary64_3491` `flip-+_binary64_3462` `+-commutative_binary64_3418`

Counts

2 → 35

Calls

2 calls:

7.0ms	(*.f64 (-.f64 x 1) z)
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

Compiler

Compiled 586 to 323 computations (44.9% saved)

series295.0ms (6.2%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

189.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
89.0ms	(*.f64 (-.f64 x 1) z)

Compiler

Compiled 525 to 317 computations (39.6% saved)

simplify67.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5092	615

prune48.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	61	3	64

Error

Counts

64 → 3

Compiler

Compiled 710 to 220 computations (69% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x (+.f64 y z)) z)
0.0b	(*.f64 x (+.f64 y z))

rewrite46.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
5×	`add-cube-cbrt_binary64_3523`
4×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524` `associate-r_binary64_3428`
3×	`associate-l_binary64_3429` `cancel-sign-sub-inv_binary64_3454`
2×	`distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `associate-*r/_binary64_3430` `associate--l+_binary64_3425`
1×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `unswap-sqr_binary64_3456` `flip3-+_binary64_3491` `flip-+_binary64_3462` `distribute-lft-out_binary64_3439` `*-commutative_binary64_3419` `diff-log_binary64_3580` `flip3--_binary64_3492` `sub-neg_binary64_3481` `flip--_binary64_3463`

Counts

2 → 39

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 y z))
6.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)

Compiler

Compiled 529 to 154 computations (70.9% saved)

series313.0ms (6.6%)

Error

Counts

2 → 33

Calls

2 calls:

173.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
124.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 606 to 344 computations (43.2% saved)

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5136	655

prune42.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	72	3	75

Error

Counts

75 → 3

Compiler

Compiled 685 to 143 computations (79.1% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z (+.f64 -1 (pow.f64 x 3))) (+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1)))))
0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1)))
1.9b	(*.f64 z (+.f64 -1 (pow.f64 x 3)))
13.3b	(/.f64 (.f64 z (+.f64 -1 (pow.f64 x 3))) (+.f64 (.f64 x x) (+.f64 (.f64 1 1) (.f64 x 1))))

rewrite194.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-exp-log_binary64_3526` `add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524`
10×	`add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
8×	`add-cube-cbrt_binary64_3523`
6×	`pow1_binary64_3549`
5×	`flip3-+_binary64_3491` `flip-+_binary64_3462`
4×	`associate-r/_binary64_3430` `associate-r*_binary64_3428` `sum-log_binary64_3579`
3×	`times-frac_binary64_3494` `associate-/r_binary64_3432` `associate-l*_binary64_3429`
2×	`prod-exp_binary64_3537` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `cbrt-unprod_binary64_3521` `associate-/l/_binary64_3435` `associate-/r/_binary64_3434` `+-commutative_binary64_3418`
1×	`frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485` `associate-/l_binary64_3433` `pow-prod-down_binary64_3559` `unswap-sqr_binary64_3456` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `distribute-lft-out_binary64_3439` `-commutative_binary64_3419` `associate-+r+_binary64_3420`

Counts

4 → 72

Calls

4 calls:

18.0ms	(/.f64 (.f64 z (+.f64 -1 (pow.f64 x 3))) (+.f64 (.f64 x x) (+.f64 (.f64 1 1) (.f64 x 1))))
12.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z (+.f64 -1 (pow.f64 x 3))) (+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1)))))
8.0ms	(*.f64 z (+.f64 -1 (pow.f64 x 3)))
8.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1)))

Compiler

Compiled 2621 to 1703 computations (35% saved)

series1.3s (27%)

Error

Counts

4 → 45

Calls

4 calls:

697.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z (+.f64 -1 (pow.f64 x 3))) (+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1)))))
295.0ms	(/.f64 (.f64 z (+.f64 -1 (pow.f64 x 3))) (+.f64 (.f64 x x) (+.f64 (.f64 1 1) (.f64 x 1))))
179.0ms	(*.f64 z (+.f64 -1 (pow.f64 x 3)))
73.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1)))

Compiler

Compiled 1938 to 1400 computations (27.8% saved)

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4969	2091
1	4969	2091

prune149.0ms (3.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	117	3	120

Error

Counts

120 → 3

Compiler

Compiled 2737 to 1590 computations (41.9% saved)

regimes120.0ms (2.5%)

Accuracy

Total 0.0b remaining (66%)

Threshold costs 0.0b (66%)

Compiler

Compiled 708 to 606 computations (14.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample825.0ms (17.3%)

Algorithm

1×

intervals

Results

236.0ms	8000×	body	128	valid
62.0ms	2154×	body	128	invalid

Compiler

Compiled 188 to 161 computations (14.4% saved)

Details

analyze756.0ms (15.9%)

sample393.0ms (8.3%)

simplify19.0ms (0.4%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

rewrite46.0ms (1%)

series295.0ms (6.2%)

simplify67.0ms (1.4%)

prune48.0ms (1%)

localize5.0ms (0.1%)

rewrite46.0ms (1%)

series313.0ms (6.6%)

simplify61.0ms (1.3%)

prune42.0ms (0.9%)

localize16.0ms (0.3%)

rewrite194.0ms (4.1%)

series1.3s (27%)

simplify65.0ms (1.4%)

prune149.0ms (3.1%)

regimes120.0ms (2.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample825.0ms (17.3%)

Profiling