Details

analyze272.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	20
1	75	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
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample30.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	48	10
1	48	10

prune6.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 x 4/29) 3)
0.2b	(.f64 (.f64 (-.f64 x 4/29) 3) y)

rewrite112.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`pow1_binary64_22304` `add-exp-log_binary64_22281` `add-cbrt-cube_binary64_22279` `add-sqr-sqrt_binary64_22265`
7×	`*-un-lft-identity_binary64_22243`
6×	`associate-l/_binary64_22186` `associate-l_binary64_22184` `associate-r*_binary64_22183`
5×	`add-cube-cbrt_binary64_22278`
4×	`pow-prod-down_binary64_22314` `prod-exp_binary64_22292` `cbrt-unprod_binary64_22276`
2×	`add-log-exp_binary64_22282` `flip3--_binary64_22247` `flip--_binary64_22218` `*-commutative_binary64_22174`
1×	`unswap-sqr_binary64_22211` `difference-of-squares_binary64_22212` `distribute-lft-out--_binary64_22195`

Counts

2 → 42

Calls

2 calls:

22.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)
13.0ms	(*.f64 (-.f64 x 4/29) 3)

Compiler

Compiled 568 to 433 computations (23.8% saved)

series220.0ms (4.6%)

Error

0.1b

Counts

2 → 15

Calls

2 calls:

149.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)
51.0ms	(*.f64 (-.f64 x 4/29) 3)

Compiler

Compiled 259 to 222 computations (14.3% saved)

simplify125.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4932	556
1	4932	556

prune95.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	6	58

Error

0.0b

Counts

58 → 6

Compiler

Compiled 646 to 496 computations (23.2% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 -12/29 (*.f64 3 x))
0.2b	(.f64 y (+.f64 -12/29 (.f64 3 x)))

rewrite66.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_22265`
4×	`pow1_binary64_22304` `add-exp-log_binary64_22281` `add-log-exp_binary64_22282` `add-cbrt-cube_binary64_22279` `add-cube-cbrt_binary64_22278` `*-un-lft-identity_binary64_22243`
3×	`associate-l_binary64_22184` `associate-r_binary64_22183`
2×	`flip3-+_binary64_22246` `associate-*r/_binary64_22185` `flip-+_binary64_22217`
1×	`pow-prod-down_binary64_22314` `prod-exp_binary64_22292` `cbrt-unprod_binary64_22276` `unswap-sqr_binary64_22211` `distribute-rgt-in_binary64_22193` `distribute-lft-in_binary64_22192` `*-commutative_binary64_22174` `sum-log_binary64_22334` `+-commutative_binary64_22173`

Counts

2 → 33

Calls

2 calls:

11.0ms	(.f64 y (+.f64 -12/29 (.f64 3 x)))
5.0ms	(+.f64 -12/29 (*.f64 3 x))

Compiler

Compiled 476 to 368 computations (22.7% saved)

series199.0ms (4.2%)

Error

0.0b

Counts

2 → 15

Calls

2 calls:

134.0ms	(.f64 y (+.f64 -12/29 (.f64 3 x)))
51.0ms	(+.f64 -12/29 (*.f64 3 x))

Compiler

Compiled 259 to 222 computations (14.3% saved)

simplify110.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4913	512
1	4913	512

prune69.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	47	7	54

Error

Counts

54 → 7

Compiler

Compiled 578 to 446 computations (22.8% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 (-.f64 x 4/29) (.f64 y 3))

rewrite52.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64_22304` `add-exp-log_binary64_22281` `add-cbrt-cube_binary64_22279`
5×	`associate-l_binary64_22184`
4×	`add-sqr-sqrt_binary64_22265` `*-un-lft-identity_binary64_22243`
3×	`pow-prod-down_binary64_22314` `prod-exp_binary64_22292` `cbrt-unprod_binary64_22276`
2×	`add-cube-cbrt_binary64_22278` `associate-*l/_binary64_22186`
1×	`add-log-exp_binary64_22282` `flip3--_binary64_22247` `flip--_binary64_22218` `difference-of-squares_binary64_22212` `distribute-lft-out--_binary64_22195` `associate-r_binary64_22183` `*-commutative_binary64_22174`

Counts

1 → 22

Calls

1 calls:

14.0ms

(*.f64 (-.f64 x 4/29) (*.f64 y 3))

Compiler

Compiled 306 to 235 computations (23.2% saved)

series141.0ms (2.9%)

Error

Counts

1 → 9

Calls

1 calls:

130.0ms

(*.f64 (-.f64 x 4/29) (*.f64 y 3))

Compiler

Compiled 170 to 143 computations (15.9% saved)

simplify92.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5255	338

prune50.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	32	6	38

Error

Counts

38 → 6

Compiler

Compiled 367 to 285 computations (22.3% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 y (-.f64 x 4/29))
0.3b	(.f64 (.f64 y (-.f64 x 4/29)) 3)

rewrite104.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-sqr-sqrt_binary64_22265`
9×	`pow1_binary64_22304` `add-exp-log_binary64_22281` `add-cbrt-cube_binary64_22279` `*-un-lft-identity_binary64_22243`
8×	`associate-r_binary64_22183`
7×	`add-cube-cbrt_binary64_22278`
6×	`cancel-sign-sub-inv_binary64_22209`
4×	`pow-prod-down_binary64_22314` `prod-exp_binary64_22292` `cbrt-unprod_binary64_22276` `associate-r/_binary64_22185` `associate-l*_binary64_22184` `distribute-rgt-in_binary64_22193` `distribute-lft-in_binary64_22192`
2×	`add-log-exp_binary64_22282` `flip3--_binary64_22247` `associate-l/_binary64_22186` `flip--_binary64_22218` `-commutative_binary64_22174` `sub-neg_binary64_22236`
1×	`unswap-sqr_binary64_22211` `difference-of-squares_binary64_22212` `distribute-lft-out--_binary64_22195`

Counts

2 → 50

Calls

2 calls:

13.0ms	(.f64 (.f64 y (-.f64 x 4/29)) 3)
13.0ms	(*.f64 y (-.f64 x 4/29))

Compiler

Compiled 674 to 499 computations (26% saved)

series249.0ms (5.2%)

Error

Counts

2 → 18

Calls

2 calls:

136.0ms	(.f64 (.f64 y (-.f64 x 4/29)) 3)
96.0ms	(*.f64 y (-.f64 x 4/29))

Compiler

Compiled 344 to 287 computations (16.6% saved)

simplify122.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4935	641
1	4935	641

prune79.0ms (1.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	68	6	74

Error

Counts

74 → 6

Compiler

Compiled 672 to 483 computations (28.1% saved)

regimes582.0ms (12.2%)

Accuracy

Total 0.2b remaining (98.8%)

Threshold costs 0.2b (98.8%)

Compiler

Compiled 2659 to 2427 computations (8.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms (0%)

sample1.9s (40.5%)

Algorithm

1×

intervals

Results

415.0ms	8000×	body	128	valid
3.0ms	59×	body	128	invalid

Compiler

Compiled 533 to 485 computations (9% saved)

Details

analyze272.0ms (5.7%)

sample30.0ms (0.6%)

simplify16.0ms (0.3%)

prune6.0ms (0.1%)

localize10.0ms (0.2%)

rewrite112.0ms (2.4%)

series220.0ms (4.6%)

simplify125.0ms (2.6%)

prune95.0ms (2%)

localize9.0ms (0.2%)

rewrite66.0ms (1.4%)

series199.0ms (4.2%)

simplify110.0ms (2.3%)

prune69.0ms (1.5%)

localize9.0ms (0.2%)

rewrite52.0ms (1.1%)

series141.0ms (2.9%)

simplify92.0ms (1.9%)

prune50.0ms (1%)

localize10.0ms (0.2%)

rewrite104.0ms (2.2%)

series249.0ms (5.2%)

simplify122.0ms (2.6%)

prune79.0ms (1.7%)

regimes582.0ms (12.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.9s (40.5%)

Profiling