Details

analyze516.0ms (16.3%)

Algorithm

1×

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
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

Compiler

Compiled 16 to 10 computations (37.5% saved)

sample35.0ms (1.1%)

Algorithm

1×

intervals

Results

6.0ms	171×	body	128	valid
4.0ms	22×	body	2048	valid
4.0ms	31×	body	1024	valid
2.0ms	20×	body	512	valid
2.0ms	49×	body	128	invalid
1.0ms	9×	body	1024	invalid
1.0ms	10×	body	512	invalid
1.0ms	11×	body	256	invalid
1.0ms	12×	body	256	valid

Compiler

Compiled 31 to 22 computations (29% saved)

simplify280.0ms (8.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (185.0ms)

Iter	Nodes	Cost
0	5795	7

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_15445`
7×	`*-un-lft-identity_binary64_15423`
6×	`cancel-sign-sub-inv_binary64_15389`
5×	`add-cube-cbrt_binary64_15458` `associate-r_binary64_15363`
4×	`distribute-lft-in_binary64_15372` `distribute-rgt-in_binary64_15373`
3×	`pow1_binary64_15484` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459` `associate-l_binary64_15364`
2×	`associate-*r/_binary64_15365` `sub-neg_binary64_15416`
1×	`*-commutative_binary64_15354` `flip3--_binary64_15427` `difference-of-squares_binary64_15392` `flip--_binary64_15398` `prod-exp_binary64_15472` `distribute-lft-out--_binary64_15375` `unswap-sqr_binary64_15391` `pow-prod-down_binary64_15494` `cbrt-unprod_binary64_15456` `add-log-exp_binary64_15462`

Counts

1 → 30

Calls

2 calls:

8.0ms	(*.f64 y (-.f64 x z))
0.0ms	(*.f64 y (-.f64 x z))

series99.0ms (3.1%)

Counts

1 → 15

Calls

1 calls:

99.0ms

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

Compiler

Compiled 138 to 132 computations (4.3% saved)

simplify47.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5688	386

prune25.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Error

Counts

46 → 3

Compiler

Compiled 377 to 86 computations (77.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_15462`
1×	`add-cube-cbrt_binary64_15458` `pow1_binary64_15484` `flip3-+_binary64_15426` `distribute-lft-out_binary64_15374` `*-un-lft-identity_binary64_15423` `flip-+_binary64_15397` `sum-log_binary64_15514` `unsub-neg_binary64_15417` `distribute-rgt-neg-out_binary64_15383` `add-sqr-sqrt_binary64_15445` `add-exp-log_binary64_15461` `+-commutative_binary64_15353` `add-cbrt-cube_binary64_15459`

Counts

1 → 13

Calls

2 calls:

4.0ms	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
0.0ms	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))

series105.0ms (3.3%)

Counts

1 → 15

Calls

1 calls:

105.0ms

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

Compiler

Compiled 142 to 136 computations (4.2% saved)

simplify64.0ms (2%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4924	239
1	4924	239

prune17.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	28	3	31

Error

Counts

31 → 3

Compiler

Compiled 226 to 55 computations (75.7% saved)

localize9.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.6b	(cbrt.f64 (-.f64 x z))
0.5b	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
0.4b	(.f64 (.f64 y (*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))) (cbrt.f64 (-.f64 x z)))
0.2b	(.f64 y (.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z))))
0.5b	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
0.6b	(cbrt.f64 (-.f64 x z))
0.6b	(cbrt.f64 (-.f64 x z))
0.6b	(cbrt.f64 (-.f64 x z))

rewrite31.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64_15454`
37×	`add-sqr-sqrt_binary64_15445`
35×	`*-un-lft-identity_binary64_15423`
18×	`cbrt-div_binary64_15455`
15×	`add-cube-cbrt_binary64_15458`
11×	`pow1_binary64_15484`
10×	`swap-sqr_binary64_15390`
9×	`flip3--_binary64_15427` `flip--_binary64_15398` `distribute-lft-out--_binary64_15375` `pow1/3_binary64_15505`
8×	`associate-r_binary64_15363` `associate-l_binary64_15364`
7×	`difference-of-squares_binary64_15392`
6×	`add-exp-log_binary64_15461`
4×	`frac-times_binary64_15433` `unswap-sqr_binary64_15391` `add-cbrt-cube_binary64_15459` `add-log-exp_binary64_15462`
2×	`pow-prod-up_binary64_15493` `pow-sqr_binary64_15396` `pow-prod-down_binary64_15494` `associate-r/_binary64_15365` `associate-l/_binary64_15366`
1×	`*-commutative_binary64_15354` `prod-exp_binary64_15472` `pow-plus_binary64_15486` `pow2_binary64_15504` `cbrt-unprod_binary64_15456`

Counts

4 → 101

Calls

8 calls:

12.0ms	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
3.0ms	(cbrt.f64 (-.f64 x z))
3.0ms	(cbrt.f64 (-.f64 x z))
3.0ms	(cbrt.f64 (-.f64 x z))
0.0ms	(.f64 y (.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z))))

series346.0ms (10.9%)

Counts

4 → 36

Calls

4 calls:

126.0ms	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
78.0ms	(cbrt.f64 (-.f64 x z))
72.0ms	(cbrt.f64 (-.f64 x z))
69.0ms	(cbrt.f64 (-.f64 x z))

Compiler

Compiled 1572 to 1245 computations (20.8% saved)

simplify87.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4980	1815
1	4980	1815

prune104.0ms (3.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	137	3	140

Error

Counts

140 → 3

Compiler

Compiled 2775 to 674 computations (75.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	71	124
1	71	124

regimes55.0ms (1.7%)

Compiler: Compiled 243 to 213 computations (12.3% saved)

bsearch0.0ms (0%)

regimes35.0ms (1.1%)

Compiler: Compiled 51 to 96 computations (-88.2% saved)

bsearch0.0ms (0%)

regimes119.0ms (3.8%)

Compiler: Compiled 36 to 81 computations (-125% saved)

bsearch74.0ms (2.3%)

Steps

Iters	Range		Point
10	4.274949028786581e-73	1.5388719632705386e-62	5.812261980561112e-63
5	-1.9037907213765918e-60	-5.4214176166583294e-61	-1.7995205751645115e-60
8	-1.2002893962480437e-24	-1.09587397472323e-27	-2.4479504511337867e-25
8	-239589.01282768763	-276.90636135809893	-281.779488173179

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes31.0ms (1%)

Compiler: Compiled 24 to 66 computations (-175% saved)

bsearch0.0ms (0%)

regimes26.0ms (0.8%)

Accuracy

Total 0.0b remaining (76.6%)

Threshold costs 0.0b (76.6%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 51 to 41 computations (19.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	73	61
1	73	61

end0.0ms (0%)

sample1.0s (32%)

Algorithm

1×

intervals

Results

191.0ms	5776×	body	128	valid
106.0ms	860×	body	1024	valid
68.0ms	475×	body	2048	valid
52.0ms	571×	body	512	valid
42.0ms	1325×	body	128	invalid
27.0ms	303×	body	512	invalid
22.0ms	195×	body	1024	invalid
21.0ms	318×	body	256	valid
14.0ms	230×	body	256	invalid

Compiler

Compiled 142 to 126 computations (11.3% saved)

Pareto

0.553849688399947

Details

analyze516.0ms (16.3%)

sample35.0ms (1.1%)

simplify280.0ms (8.9%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite10.0ms (0.3%)

series99.0ms (3.1%)

simplify47.0ms (1.5%)

prune25.0ms (0.8%)

localize8.0ms (0.2%)

rewrite5.0ms (0.2%)

series105.0ms (3.3%)

simplify64.0ms (2%)

prune17.0ms (0.5%)

localize9.0ms (0.3%)

rewrite31.0ms (1%)

series346.0ms (10.9%)

simplify87.0ms (2.8%)

prune104.0ms (3.3%)

simplify5.0ms (0.1%)

regimes55.0ms (1.7%)

bsearch0.0ms (0%)

regimes35.0ms (1.1%)

bsearch0.0ms (0%)

regimes119.0ms (3.8%)

bsearch74.0ms (2.3%)

regimes31.0ms (1%)

bsearch0.0ms (0%)

regimes26.0ms (0.8%)

bsearch4.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.0s (32%)

Profiling