Details

analyze404.0ms (11%)

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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
25%	62.4%	12.6%	8
37.4%	43.7%	18.9%	9
37.4%	43.7%	18.9%	10
49.9%	31.2%	18.9%	11
56.2%	20.3%	23.5%	12
56.2%	20.3%	23.5%	13
61.6%	14.8%	23.5%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	18×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify108.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	142	12
1	142	12

prune4.0ms (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

17.0b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

6.2b	(.f64 (.f64 (*.f64 a a) b) b)
10.3b	(.f64 (.f64 a a) b)

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-r_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
2×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

2 → 40

Calls

2 calls:

8.0ms	(.f64 (.f64 a a) b)
7.0ms	(.f64 (.f64 (*.f64 a a) b) b)

series145.0ms (4%)

Counts

2 → 12

Calls

2 calls:

73.0ms	(.f64 (.f64 a a) b)
72.0ms	(.f64 (.f64 (*.f64 a a) b) b)

Compiler

Compiled 192 to 204 computations (-6.3% saved)

simplify50.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5066	461

prune49.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	44	8	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	8	53

Error

0.1b

Counts

53 → 8

Compiler

Compiled 587 to 215 computations (63.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 (fabs.f64 (.f64 a b)) (fabs.f64 (*.f64 a b)))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
3×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `sqr-abs_binary64` `pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

1 → 26

Calls

1 calls:

4.0ms

(*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b)))

series53.0ms (1.4%)

Counts

1 → 6

Calls

1 calls:

53.0ms

(*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b)))

Compiler

Compiled 84 to 96 computations (-14.3% saved)

simplify79.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5054	230

prune28.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	30	10	40

Error

0.1b

Counts

40 → 10

Compiler

Compiled 390 to 197 computations (49.5% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
0.2b	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
10.1b	(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`add-exp-log_binary64` `sqrt-prod_binary64`
8×	`unpow-prod-down_binary64`
7×	`associate-r_binary64`
6×	`pow1_binary64` `associate-l_binary64` `unswap-sqr_binary64`
5×	`add-cbrt-cube_binary64`
4×	`sqr-pow_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64` `prod-exp_binary64`
2×	`pow-to-exp_binary64` `pow1/2_binary64` `pow-prod-up_binary64` `sqrt-pow1_binary64` `pow-exp_binary64`
1×	`cbrt-unprod_binary64` `pow-pow_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`

Counts

3 → 63

Calls

3 calls:

7.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
2.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
1.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

series262.0ms (7.2%)

Counts

3 → 18

Calls

3 calls:

173.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
45.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))
44.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))

Compiler

Compiled 408 to 348 computations (14.7% saved)

simplify59.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5008	1085

prune78.0ms (2.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	74	7	81
Fresh	5	3	8
Picked	1	0	1
Done	0	1	1
Total	80	11	91

Error

0.0b

Counts

91 → 11

Compiler

Compiled 1445 to 569 computations (60.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (sqrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)))
10.1b	(sqrt.f64 (fabs.f64 (*.f64 a b)))
16.0b	(sqrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
16.0b	(sqrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`sqrt-prod_binary64`
33×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`unpow-prod-down_binary64`
10×	`associate-r_binary64`
8×	`pow1_binary64` `unswap-sqr_binary64`
7×	`sqr-pow_binary64` `rem-sqrt-square_binary64`
6×	`pow1/2_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `sqrt-pow1_binary64`
4×	`add-log-exp_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64`
1×	`cbrt-unprod_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 90

Calls

4 calls:

9.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (sqrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)))
2.0ms	(sqrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
2.0ms	(sqrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
1.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

series833.0ms (22.8%)

Counts

4 → 24

Calls

4 calls:

286.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (sqrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2)))
260.0ms	(sqrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
240.0ms	(sqrt.f64 (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
46.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

Compiler

Compiled 1020 to 732 computations (28.2% saved)

simplify103.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4881	1942
1	4881	1942

prune132.0ms (3.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	114	11	125

Error

0.0b

Counts

125 → 11

Compiler

Compiled 3064 to 1324 computations (56.8% saved)

regimes278.0ms (7.6%)

Accuracy

Total 0.3b remaining (94.5%)

Threshold costs 0.3b (94.5%)

Compiler

Compiled 2684 to 1966 computations (26.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms (0%)

sample875.0ms (23.9%)

Algorithm

1×

intervals

Results

220.0ms	8000×	body	128	valid
14.0ms	539×	body	128	invalid

Compiler

Compiled 440 to 327 computations (25.7% saved)

Details

analyze404.0ms (11%)

sample18.0ms (0.5%)

simplify108.0ms (3%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

rewrite18.0ms (0.5%)

series145.0ms (4%)

simplify50.0ms (1.4%)

prune49.0ms (1.3%)

localize5.0ms (0.1%)

rewrite5.0ms (0.1%)

series53.0ms (1.4%)

simplify79.0ms (2.2%)

prune28.0ms (0.8%)

localize10.0ms (0.3%)

rewrite14.0ms (0.4%)

series262.0ms (7.2%)

simplify59.0ms (1.6%)

prune78.0ms (2.1%)

localize12.0ms (0.3%)

rewrite23.0ms (0.6%)

series833.0ms (22.8%)

simplify103.0ms (2.8%)

prune132.0ms (3.6%)

regimes278.0ms (7.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample875.0ms (23.9%)

Profiling