Details

analyze847.0ms (16.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
14%	83.4%	2.5%	11
18.7%	78.2%	3.1%	12
28.1%	65.5%	6.4%	13
30.7%	59.4%	9.9%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample32.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
8.0ms	179×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify98.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	49	22
1	49	22

prune2.0ms (0%)

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

29.1b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

18.0b	(/.f64 (.f64 z z) (.f64 t t))
19.4b	(/.f64 (.f64 x x) (.f64 y y))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802`
8×	`cbrt-undiv_binary64_15798` `cbrt-unprod_binary64_15797` `prod-exp_binary64_15813` `div-exp_binary64_15815`
2×	`add-log-exp_binary64_15803` `div-inv_binary64_15761` `add-sqr-sqrt_binary64_15786` `add-cube-cbrt_binary64_15799` `times-frac_binary64_15770` `frac-2neg_binary64_15775` `associate-/r_binary64_15708` `clear-num_binary64_15763` `-un-lft-identity_binary64_15764` `associate-/l*_binary64_15709` `pow1_binary64_15825`

Counts

2 → 42

Calls

2 calls:

7.0ms	(/.f64 (.f64 x x) (.f64 y y))
6.0ms	(/.f64 (.f64 z z) (.f64 t t))

series46.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

24.0ms	(/.f64 (.f64 x x) (.f64 y y))
22.0ms	(/.f64 (.f64 z z) (.f64 t t))

simplify52.0ms (1%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5115	446

prune58.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	38	10	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	10	49

Error

3.7b

Counts

49 → 10

Compiler

Compiled 929 to 282 computations (69.6% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b	(*.f64 (/.f64 x y) (/.f64 x y))
18.0b	(/.f64 (.f64 z z) (.f64 t t))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64_15786`
41×	`times-frac_binary64_15770`
30×	`add-cube-cbrt_binary64_15799` `*-un-lft-identity_binary64_15764`
26×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802`
13×	`associate-l_binary64_15705` `swap-sqr_binary64_15731` `associate-r_binary64_15704`
9×	`pow1_binary64_15825`
8×	`cbrt-undiv_binary64_15798` `cbrt-unprod_binary64_15797` `prod-exp_binary64_15813` `div-exp_binary64_15815`
5×	`div-inv_binary64_15761`
4×	`unswap-sqr_binary64_15732`
2×	`add-log-exp_binary64_15803`
1×	`associate-l/_binary64_15707` `pow-sqr_binary64_15737` `pow2_binary64_15845` `associate-r/_binary64_15706` `pow-plus_binary64_15827` `frac-times_binary64_15774` `frac-2neg_binary64_15775` `associate-/r_binary64_15708` `clear-num_binary64_15763` `-commutative_binary64_15695` `associate-/l*_binary64_15709` `pow-prod-up_binary64_15834` `pow-prod-down_binary64_15835`

Counts

2 → 88

Calls

2 calls:

14.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
6.0ms	(/.f64 (.f64 z z) (.f64 t t))

series43.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

22.0ms	(/.f64 (.f64 z z) (.f64 t t))
21.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4975	926
1	4975	926

prune89.0ms (1.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	87	7	94
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	92	12	104

Error

0.1b

Counts

104 → 12

Compiler

Compiled 1853 to 521 computations (71.9% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b	(*.f64 (/.f64 x y) (/.f64 x y))
0.3b	(*.f64 (/.f64 z t) (/.f64 z t))

rewrite37.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`add-sqr-sqrt_binary64_15786`
80×	`times-frac_binary64_15770`
58×	`add-cube-cbrt_binary64_15799` `*-un-lft-identity_binary64_15764`
26×	`add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802` `associate-l_binary64_15705` `swap-sqr_binary64_15731` `associate-r_binary64_15704`
16×	`pow1_binary64_15825`
8×	`cbrt-undiv_binary64_15798` `div-inv_binary64_15761` `cbrt-unprod_binary64_15797` `prod-exp_binary64_15813` `unswap-sqr_binary64_15732` `div-exp_binary64_15815`
2×	`add-log-exp_binary64_15803` `associate-l/_binary64_15707` `pow-sqr_binary64_15737` `pow2_binary64_15845` `associate-r/_binary64_15706` `pow-plus_binary64_15827` `frac-times_binary64_15774` `*-commutative_binary64_15695` `pow-prod-up_binary64_15834` `pow-prod-down_binary64_15835`

Counts

2 → 134

Calls

2 calls:

12.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
12.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

series41.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

21.0ms	(*.f64 (/.f64 z t) (/.f64 z t))
20.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

simplify84.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5060	1584

prune124.0ms (2.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	133	7	140
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	137	15	152

Error

0.0b

Counts

152 → 15

Compiler

Compiled 2904 to 757 computations (73.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_15795`
8×	`add-sqr-sqrt_binary64_15786` `add-cube-cbrt_binary64_15799` `*-un-lft-identity_binary64_15764`
4×	`add-log-exp_binary64_15803` `add-cbrt-cube_binary64_15800` `add-exp-log_binary64_15802` `pow1/3_binary64_15846` `pow1_binary64_15825`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series336.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt.f64 t)
85.0ms	(cbrt.f64 t)
82.0ms	(cbrt.f64 t)
81.0ms	(cbrt.f64 t)

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4962	340
1	4962	340

prune53.0ms (1.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	56	15	71

Error

0.0b

Counts

71 → 15

Compiler

Compiled 1800 to 288 computations (84% saved)

regimes1.0s (20.8%)

Accuracy

Total 0.4b remaining (92.4%)

Threshold costs 0.4b (92.4%)

Compiler

Compiled 13944 to 9357 computations (32.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	22
1	11	22

end0.0ms (0%)

sample1.8s (36.2%)

Algorithm

1×

intervals

Results

355.0ms	8000×	body	128	valid
263.0ms	5943×	body	128	invalid

Compiler

Compiled 1097 to 738 computations (32.7% saved)

Details

analyze847.0ms (16.8%)

sample32.0ms (0.6%)

simplify98.0ms (2%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite16.0ms (0.3%)

series46.0ms (0.9%)

simplify52.0ms (1%)

prune58.0ms (1.2%)

localize8.0ms (0.2%)

rewrite29.0ms (0.6%)

series43.0ms (0.8%)

simplify66.0ms (1.3%)

prune89.0ms (1.8%)

localize8.0ms (0.2%)

rewrite37.0ms (0.7%)

series41.0ms (0.8%)

simplify84.0ms (1.7%)

prune124.0ms (2.5%)

localize12.0ms (0.2%)

rewrite10.0ms (0.2%)

series336.0ms (6.7%)

simplify58.0ms (1.2%)

prune53.0ms (1.1%)

regimes1.0s (20.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (36.2%)

Profiling