Details

analyze176.0ms (7.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	468	20
1	468	20
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
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify18.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	268	10
1	268	10

prune2.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x y) (-.f64 1 y))

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_419` `add-sqr-sqrt_binary64_441`
6×	`associate-r_binary64_359` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `cancel-sign-sub-inv_binary64_385` `pow1_binary64_480`
4×	`distribute-rgt-in_binary64_369` `add-cube-cbrt_binary64_454` `distribute-lft-in_binary64_368`
3×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
2×	`sub-neg_binary64_412` `difference-of-squares_binary64_388` `associate-*r/_binary64_361`
1×	`add-log-exp_binary64_458` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `-commutative_binary64_350` `associate-l*_binary64_360` `flip--_binary64_394`

Counts

1 → 31

Calls

1 calls:

9.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

series38.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

38.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

simplify66.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4941	390
1	4941	390

prune28.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	29	5	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	6	35

Error

0.0b

Counts

35 → 6

Compiler

Compiled 429 to 215 computations (49.9% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) (cbrt.f64 (.f64 (*.f64 x y) (-.f64 1 y))))
12.1b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
12.1b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
12.1b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

rewrite33.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_361`
18×	`cbrt-div_binary64_451`
11×	`pow1_binary64_480`
10×	`add-sqr-sqrt_binary64_441`
9×	`pow1/3_binary64_501` `flip3--_binary64_423` `flip--_binary64_394`
8×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
7×	`cbrt-prod_binary64_450`
6×	`add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `associate-r_binary64_359` `frac-times_binary64_429` `swap-sqr_binary64_386` `associate-l_binary64_360` `add-cbrt-cube_binary64_455`
2×	`associate-*l/_binary64_362` `pow-prod-down_binary64_490` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-plus_binary64_482` `*-commutative_binary64_350` `pow2_binary64_500`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) (cbrt.f64 (.f64 (*.f64 x y) (-.f64 1 y))))
6.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
6.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
6.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

series354.0ms (15.2%)

Counts

4 → 12

Calls

4 calls:

114.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y))) (cbrt.f64 (.f64 (*.f64 x y) (-.f64 1 y))))
86.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
80.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
74.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

simplify74.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4925	1705
1	4925	1705

prune112.0ms (4.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	83	7	90

Error

0.0b

Counts

90 → 7

Compiler

Compiled 2687 to 1576 computations (41.3% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

12.1b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
12.1b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
12.1b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
12.1b	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

rewrite31.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`cbrt-div_binary64_451` `associate-*r/_binary64_361`
4×	`*-un-lft-identity_binary64_419` `pow1/3_binary64_501` `add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `cbrt-prod_binary64_450` `add-sqr-sqrt_binary64_441` `flip3--_binary64_423` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `flip--_binary64_394` `pow1_binary64_480`

Counts

4 → 44

Calls

4 calls:

6.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
6.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
6.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
6.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

series325.0ms (13.9%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
82.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
81.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))
76.0ms	(cbrt.f64 (.f64 (.f64 x y) (-.f64 1 y)))

simplify61.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5058	1044

prune115.0ms (4.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	56	7	63

Error

0.0b

Counts

63 → 7

Compiler

Compiled 3059 to 1806 computations (41% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 y (*.f64 y y))
4.1b	(.f64 x (-.f64 y (.f64 y y)))

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_441`
6×	`*-un-lft-identity_binary64_419`
5×	`associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
3×	`sub-neg_binary64_412` `associate-l_binary64_360` `cancel-sign-sub-inv_binary64_385`
2×	`distribute-rgt-out--_binary64_373` `difference-of-squares_binary64_388` `distribute-rgt-in_binary64_369` `flip3--_binary64_423` `associate-*r/_binary64_361` `distribute-lft-in_binary64_368` `flip--_binary64_394`
1×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350` `diff-log_binary64_511`

Counts

2 → 40

Calls

2 calls:

6.0ms	(.f64 x (-.f64 y (.f64 y y)))
3.0ms	(-.f64 y (*.f64 y y))

series67.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

41.0ms	(.f64 x (-.f64 y (.f64 y y)))
26.0ms	(-.f64 y (*.f64 y y))

simplify51.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4999	529
1	4999	529

prune26.0ms (1.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	46	7	53

Error

0.0b

Counts

53 → 7

Compiler

Compiled 525 to 120 computations (77.1% saved)

regimes83.0ms (3.6%)

Accuracy

Total 0.1b remaining (88.2%)

Threshold costs 0.1b (88.2%)

Compiler

Compiled 792 to 581 computations (26.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample600.0ms (25.7%)

Algorithm

1×

intervals

Results

184.0ms	8000×	body	128	valid
4.0ms	178×	body	128	invalid

Compiler

Compiled 273 to 202 computations (26% saved)

Details

analyze176.0ms (7.6%)

sample12.0ms (0.5%)

simplify18.0ms (0.8%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite11.0ms (0.5%)

series38.0ms (1.6%)

simplify66.0ms (2.8%)

prune28.0ms (1.2%)

localize10.0ms (0.4%)

rewrite33.0ms (1.4%)

series354.0ms (15.2%)

simplify74.0ms (3.2%)

prune112.0ms (4.8%)

localize13.0ms (0.6%)

rewrite31.0ms (1.3%)

series325.0ms (13.9%)

simplify61.0ms (2.6%)

prune115.0ms (4.9%)

localize6.0ms (0.3%)

rewrite11.0ms (0.5%)

series67.0ms (2.9%)

simplify51.0ms (2.2%)

prune26.0ms (1.1%)

regimes83.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample600.0ms (25.7%)

Profiling