Details

analyze413.0ms (16.2%)

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)

sample19.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	27×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify114.0ms (4.5%)

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

14.2b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

4.0b	(.f64 (.f64 (*.f64 a a) b) b)
9.7b	(.f64 (.f64 a a) b)

rewrite20.0ms (0.8%)

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

series55.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

28.0ms	(.f64 (.f64 (*.f64 a a) b) b)
27.0ms	(.f64 (.f64 a a) b)

simplify55.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5066	410

prune40.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	40	6	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	7	47

Error

0.1b

Counts

47 → 7

Compiler

Compiled 521 to 196 computations (62.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.2%)

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)))

series26.0ms (1%)

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify78.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5054	209

prune23.0ms (0.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	28	8	36

Error

0.0b

Counts

36 → 8

Compiler

Compiled 346 to 158 computations (54.3% saved)

localize9.0ms (0.4%)

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))
0.3b	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
10.8b	(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite15.0ms (0.6%)

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)))

series85.0ms (3.4%)

Counts

3 → 9

Calls

3 calls:

51.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
17.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
17.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

simplify65.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4879	1001
1	4879	1001

prune71.0ms (2.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	2	3	5
Picked	1	0	1
Done	1	1	2
Total	71	9	80

Error

Counts

80 → 9

Compiler

Compiled 1304 to 505 computations (61.3% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
0.5b	(.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (.f64 a b)))) (sqrt.f64 (sqrt.f64 (fabs.f64 (*.f64 a b)))))
10.8b	(sqrt.f64 (fabs.f64 (*.f64 a b)))
10.8b	(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite30.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`sqrt-prod_binary64`
60×	`add-sqr-sqrt_binary64`
34×	`sqrt-pow1_binary64`
30×	`pow1_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`pow1/2_binary64`
15×	`swap-sqr_binary64`
10×	`rem-sqrt-square_binary64`
9×	`associate-r_binary64` `pow-prod-up_binary64` `associate-l_binary64` `unswap-sqr_binary64`
7×	`add-exp-log_binary64`
6×	`add-cbrt-cube_binary64`
5×	`pow-prod-down_binary64` `pow-sqr_binary64`
4×	`add-log-exp_binary64` `sqr-abs_binary64`
3×	`pow-unpow_binary64` `unpow-prod-down_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-pow_binary64` `sqr-pow_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `pow-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 122

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (.f64 a b)))) (sqrt.f64 (sqrt.f64 (fabs.f64 (*.f64 a b)))))
2.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
1.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))
1.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

series98.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
20.0ms	(.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (.f64 a b)))) (sqrt.f64 (sqrt.f64 (fabs.f64 (*.f64 a b)))))
18.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))
17.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

simplify93.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4933	1431
1	4933	1431

prune112.0ms (4.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	134	9	143

Error

Counts

143 → 9

Compiler

Compiled 2863 to 798 computations (72.1% saved)

regimes262.0ms (10.3%)

Accuracy

Total 0.3b remaining (94.6%)

Threshold costs 0.3b (94.6%)

Compiler

Compiled 2600 to 1876 computations (27.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms (0%)

sample830.0ms (32.6%)

Algorithm

1×

intervals

Results

218.0ms	8000×	body	128	valid
15.0ms	548×	body	128	invalid

Compiler

Compiled 428 to 312 computations (27.1% saved)

Details

analyze413.0ms (16.2%)

sample19.0ms (0.7%)

simplify114.0ms (4.5%)

prune4.0ms (0.1%)

localize7.0ms (0.3%)

rewrite20.0ms (0.8%)

series55.0ms (2.2%)

simplify55.0ms (2.2%)

prune40.0ms (1.6%)

localize5.0ms (0.2%)

rewrite5.0ms (0.2%)

series26.0ms (1%)

simplify78.0ms (3.1%)

prune23.0ms (0.9%)

localize9.0ms (0.4%)

rewrite15.0ms (0.6%)

series85.0ms (3.4%)

simplify65.0ms (2.5%)

prune71.0ms (2.8%)

localize12.0ms (0.5%)

rewrite30.0ms (1.2%)

series98.0ms (3.8%)

simplify93.0ms (3.7%)

prune112.0ms (4.4%)

regimes262.0ms (10.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample830.0ms (32.6%)

Profiling