Details

analyze361.0ms (11.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	40
1	134	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	23×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	52	10
1	52	10

prune3.0ms (0.1%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_3868`
2×	`associate-+r+_binary64_3761`
1×	`sum-log_binary64_3920` `pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `flip3-+_binary64_3832` `*-un-lft-identity_binary64_3829` `flip-+_binary64_3803` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `+-commutative_binary64_3759`

Counts

1 → 13

Calls

1 calls:

4.0ms

(+.f64 x (*.f64 y (+.f64 z x)))

Compiler

Compiled 196 to 49 computations (75% saved)

series134.0ms (4.1%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

124.0ms

(+.f64 x (*.f64 y (+.f64 z x)))

Compiler

Compiled 313 to 186 computations (40.6% saved)

simplify85.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4999	336
1	4999	336

prune18.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Error

Counts

32 → 2

Compiler

Compiled 296 to 59 computations (80.1% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

4.8b	(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (+.f64 z x) (+.f64 z x)))))
6.2b	(.f64 y (.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))
7.5b	(.f64 y (.f64 (+.f64 z x) (+.f64 z x)))
31.1b	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (+.f64 z x) (+.f64 z x))))) (-.f64 x (*.f64 y (+.f64 z x))))

rewrite153.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `associate-*r/_binary64_3771`
20×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
18×	`pow1_binary64_3890`
15×	`add-sqr-sqrt_binary64_3851`
14×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
12×	`flip3-+_binary64_3832` `flip-+_binary64_3803`
9×	`times-frac_binary64_3835` `pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
8×	`frac-times_binary64_3839` `associate--r+_binary64_3765`
6×	`add-log-exp_binary64_3868` `associate-l_binary64_3770`
4×	`associate-*l/_binary64_3772`
3×	`flip3--_binary64_3833` `flip--_binary64_3804` `associate-/l_binary64_3774` `associate-/r_binary64_3773`
2×	`associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `associate-r_binary64_3769` `*-commutative_binary64_3760`
1×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `div-sub_binary64_3834` `clear-num_binary64_3828` `div-inv_binary64_3826` `unswap-sqr_binary64_3797` `diff-log_binary64_3921` `sub-neg_binary64_3822` `cancel-sign-sub-inv_binary64_3795`

Counts

4 → 120

Calls

4 calls:

14.0ms	(.f64 y (.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))
12.0ms	(.f64 y (.f64 (+.f64 z x) (+.f64 z x)))
10.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (+.f64 z x) (+.f64 z x))))) (-.f64 x (*.f64 y (+.f64 z x))))
5.0ms	(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (+.f64 z x) (+.f64 z x)))))

Compiler

Compiled 4369 to 610 computations (86% saved)

series1.5s (44.8%)

Error

Counts

4 → 84

Calls

4 calls:

504.0ms	(-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (+.f64 z x) (+.f64 z x)))))
475.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y (.f64 (+.f64 z x) (+.f64 z x))))) (-.f64 x (*.f64 y (+.f64 z x))))
235.0ms	(.f64 y (.f64 y (*.f64 (+.f64 z x) (+.f64 z x))))
165.0ms	(.f64 y (.f64 (+.f64 z x) (+.f64 z x)))

Compiler

Compiled 5968 to 3740 computations (37.3% saved)

simplify103.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4963	4873
1	4963	4873

prune179.0ms (5.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	204	2	206

Error

Counts

206 → 2

Compiler

Compiled 5788 to 1444 computations (75.1% saved)

regimes86.0ms (2.6%)

Accuracy

Total 0.0b remaining (49.1%)

Threshold costs 0.0b (49.1%)

Compiler

Compiled 576 to 446 computations (22.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample619.0ms (18.9%)

Algorithm

1×

intervals

Results

184.0ms	8000×	body	128	valid
13.0ms	591×	body	128	invalid

Compiler

Compiled 154 to 120 computations (22.1% saved)

Details

analyze361.0ms (11.1%)

sample17.0ms (0.5%)

simplify10.0ms (0.3%)

prune3.0ms (0.1%)

localize8.0ms (0.3%)

rewrite13.0ms (0.4%)

series134.0ms (4.1%)

simplify85.0ms (2.6%)

prune18.0ms (0.6%)

localize12.0ms (0.4%)

rewrite153.0ms (4.7%)

series1.5s (44.8%)

simplify103.0ms (3.2%)

prune179.0ms (5.5%)

regimes86.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample619.0ms (18.9%)

Profiling