Details

analyze286.0ms (7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	26
1	67	26
0	2	2
1	2	2

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
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 16 to 8 computations (50% saved)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 31 to 17 computations (45.2% saved)

simplify21.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	39	13
1	39	13

prune7.0ms (0.2%)

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 33 to 21 computations (36.4% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
0.2b	(.f64 y (.f64 y 3))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_12049` `add-exp-log_binary64_12051` `pow1_binary64_12074`
4×	`add-log-exp_binary64_12052`
3×	`add-sqr-sqrt_binary64_12035` `add-cube-cbrt_binary64_12048` `associate-l_binary64_11954` `pow-prod-down_binary64_12084` `cbrt-unprod_binary64_12046` `prod-exp_binary64_12062` `*-un-lft-identity_binary64_12013`
1×	`+-commutative_binary64_11943` `sum-log_binary64_12104` `flip3-+_binary64_12016` `-commutative_binary64_11944` `flip-+_binary64_11987` `associate-r*_binary64_11953`

Counts

2 → 29

Calls

2 calls:

10.0ms	(.f64 y (.f64 y 3))
7.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))

series228.0ms (5.5%)

Counts

2 → 15

Calls

2 calls:

180.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
47.0ms	(.f64 y (.f64 y 3))

Compiler

Compiled 186 to 186 computations (0% saved)

simplify155.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4949	482
1	4949	482

prune69.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	40	4	44
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	41	5	46

Error

0.0b

Counts

46 → 5

Compiler

Compiled 552 to 307 computations (44.4% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
0.2b	(.f64 (.f64 y y) 3)

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_12049` `add-exp-log_binary64_12051` `pow1_binary64_12074`
4×	`add-log-exp_binary64_12052` `add-sqr-sqrt_binary64_12035`
3×	`add-cube-cbrt_binary64_12048` `pow-prod-down_binary64_12084` `cbrt-unprod_binary64_12046` `prod-exp_binary64_12062` `associate-r_binary64_11953` `*-un-lft-identity_binary64_12013`
1×	`+-commutative_binary64_11943` `sum-log_binary64_12104` `flip3-+_binary64_12016` `-commutative_binary64_11944` `unswap-sqr_binary64_11981` `associate-l*_binary64_11954` `flip-+_binary64_11987`

Counts

2 → 30

Calls

2 calls:

10.0ms	(.f64 (.f64 y y) 3)
7.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))

series226.0ms (5.5%)

Counts

2 → 15

Calls

2 calls:

184.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
42.0ms	(.f64 (.f64 y y) 3)

Compiler

Compiled 186 to 186 computations (0% saved)

simplify137.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4946	498
1	4946	498

prune58.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	45	5	50

Error

Counts

50 → 5

Compiler

Compiled 555 to 277 computations (50.1% saved)

localize17.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

0.2b

(*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

0.3b

(*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite66.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`pow1_binary64_12074`
33×	`add-exp-log_binary64_12051`
27×	`pow-prod-down_binary64_12084`
21×	`cbrt-unprod_binary64_12046` `prod-exp_binary64_12062`
20×	`add-cbrt-cube_binary64_12049`
7×	`associate-r_binary64_11953`
5×	`add-log-exp_binary64_12052` `add-sqr-sqrt_binary64_12035` `add-cube-cbrt_binary64_12048` `*-un-lft-identity_binary64_12013`
4×	`pow-prod-up_binary64_12083` `pow-plus_binary64_12076`
3×	`cbrt-prod_binary64_12044`
2×	`-commutative_binary64_11944` `associate-l*_binary64_11954` `pow-sqr_binary64_11986` `pow2_binary64_12094`
1×	`+-commutative_binary64_11943` `sum-log_binary64_12104` `flip3-+_binary64_12016` `unswap-sqr_binary64_11981` `flip-+_binary64_11987`

Counts

3 → 70

Calls

3 calls:

27.0ms

(*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

20.0ms

(*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

8.0ms

(+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

series484.0ms (11.8%)

Counts

3 → 18

Calls

3 calls:

314.0ms

(+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

92.0ms

(*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

78.0ms

(*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

Compiler

Compiled 339 to 333 computations (1.8% saved)

simplify132.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4969	947
1	4969	947

prune126.0ms (3.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	88	5	93

Error

Counts

93 → 5

Compiler

Compiled 1252 to 749 computations (40.2% saved)

localize18.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (cbrt.f64 (.f64 27 (pow.f64 y 6))))
0.1b	(*.f64 27 (pow.f64 y 6))
26.0b	(cbrt.f64 (*.f64 27 (pow.f64 y 6)))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_12035`
8×	`add-exp-log_binary64_12051`
7×	`associate-r_binary64_11953`
6×	`add-cube-cbrt_binary64_12048` `*-un-lft-identity_binary64_12013`
5×	`add-cbrt-cube_binary64_12049` `add-log-exp_binary64_12052`
4×	`unpow-prod-down_binary64_12092`
3×	`unswap-sqr_binary64_11981` `associate-l_binary64_11954` `pow1_binary64_12074` `prod-exp_binary64_12062`
2×	`sqr-pow_binary64_11985`
1×	`+-commutative_binary64_11943` `sum-log_binary64_12104` `cbrt-prod_binary64_12044` `flip3-+_binary64_12016` `*-commutative_binary64_11944` `pow1/3_binary64_12095` `flip-+_binary64_11987` `pow-to-exp_binary64_12082` `cbrt-unprod_binary64_12046` `pow-exp_binary64_12081`

Counts

3 → 45

Calls

3 calls:

10.0ms	(*.f64 27 (pow.f64 y 6))
7.0ms	(+.f64 (.f64 x x) (cbrt.f64 (.f64 27 (pow.f64 y 6))))
6.0ms	(cbrt.f64 (*.f64 27 (pow.f64 y 6)))

series284.0ms (6.9%)

Counts

3 → 18

Calls

3 calls:

182.0ms	(+.f64 (.f64 x x) (cbrt.f64 (.f64 27 (pow.f64 y 6))))
60.0ms	(*.f64 27 (pow.f64 y 6))
42.0ms	(cbrt.f64 (*.f64 27 (pow.f64 y 6)))

Compiler

Compiled 246 to 240 computations (2.4% saved)

simplify157.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	4936	706
1	4936	706

prune89.0ms (2.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	63	5	68

Error

Counts

68 → 5

Compiler

Compiled 809 to 516 computations (36.2% saved)

regimes269.0ms (6.6%)

Accuracy

Total 0.1b remaining (98.1%)

Threshold costs 0.1b (98.1%)

Compiler

Compiled 1120 to 887 computations (20.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	11	13

end0.0ms (0%)

sample1.2s (28.2%)

Algorithm

1×

intervals

Results

425.0ms	8000×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 235 to 182 computations (22.6% saved)

Details

analyze286.0ms (7%)

sample25.0ms (0.6%)

simplify21.0ms (0.5%)

prune7.0ms (0.2%)

localize11.0ms (0.3%)

rewrite20.0ms (0.5%)

series228.0ms (5.5%)

simplify155.0ms (3.8%)

prune69.0ms (1.7%)

localize11.0ms (0.3%)

rewrite21.0ms (0.5%)

series226.0ms (5.5%)

simplify137.0ms (3.3%)

prune58.0ms (1.4%)

localize17.0ms (0.4%)

rewrite66.0ms (1.6%)

series484.0ms (11.8%)

simplify132.0ms (3.2%)

prune126.0ms (3.1%)

localize18.0ms (0.4%)

rewrite28.0ms (0.7%)

series284.0ms (6.9%)

simplify157.0ms (3.8%)

prune89.0ms (2.2%)

regimes269.0ms (6.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (28.2%)

Profiling