Details

analyze405.0ms (9.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5194	40
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
25%	74.9%	0.1%	6
31.2%	50%	18.8%	7
34.3%	43.7%	22%	8
45.3%	26.5%	28.2%	9
46.8%	23.4%	29.8%	10
48.8%	14%	37.2%	11
49.8%	12.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	6.1%	40.6%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample37.0ms (0.8%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
1.0ms	12×	body	128	invalid

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify186.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (178.0ms)

Iter	Nodes	Cost
0	4915	20
1	4915	20

prune7.0ms (0.2%)

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 → 2

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
0.2b	(.f64 (.f64 x.re x.im) 3)

rewrite56.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
9×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
4×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `-un-lft-identity_binary64_3147` `associate-l_binary64_3088` `associate-r*_binary64_3087`
2×	`add-log-exp_binary64_3186` `*-commutative_binary64_3078`

Counts

2 → 39

Calls

2 calls:

6.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
5.0ms	(.f64 (.f64 x.re x.im) 3)

Compiler

Compiled 659 to 379 computations (42.5% saved)

series169.0ms (3.9%)

Error

0.1b

Counts

2 → 12

Calls

2 calls:

88.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
68.0ms	(.f64 (.f64 x.re x.im) 3)

Compiler

Compiled 396 to 315 computations (20.5% saved)

simplify81.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5029	605

prune79.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	5	51
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	47	6	53

Error

0.0b

Counts

53 → 6

Compiler

Compiled 778 to 538 computations (30.8% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x.re (.f64 x.re (*.f64 3 x.im)))
0.2b	(.f64 x.re (.f64 3 x.im))

rewrite80.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
9×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
6×	`associate-l_binary64_3088`
4×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
2×	`add-log-exp_binary64_3186` `associate-r_binary64_3087` `*-commutative_binary64_3078`

Counts

2 → 39

Calls

2 calls:

10.0ms	(.f64 x.re (.f64 x.re (*.f64 3 x.im)))
9.0ms	(.f64 x.re (.f64 3 x.im))

Compiler

Compiled 659 to 417 computations (36.7% saved)

series194.0ms (4.4%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

110.0ms	(.f64 x.re (.f64 x.re (*.f64 3 x.im)))
76.0ms	(.f64 x.re (.f64 3 x.im))

Compiler

Compiled 396 to 315 computations (20.5% saved)

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5337	599

prune52.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	51	6	57

Error

0.0b

Counts

57 → 6

Compiler

Compiled 764 to 523 computations (31.5% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x.re (.f64 (*.f64 3 x.re) x.im))
0.2b	(.f64 (.f64 3 x.re) x.im)

rewrite63.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
9×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
4×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `-un-lft-identity_binary64_3147` `associate-l_binary64_3088` `associate-r*_binary64_3087`
2×	`add-log-exp_binary64_3186` `*-commutative_binary64_3078`

Counts

2 → 39

Calls

2 calls:

10.0ms	(.f64 (.f64 3 x.re) x.im)
9.0ms	(.f64 x.re (.f64 (*.f64 3 x.re) x.im))

Compiler

Compiled 659 to 421 computations (36.1% saved)

series161.0ms (3.7%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

94.0ms	(.f64 x.re (.f64 (*.f64 3 x.re) x.im))
57.0ms	(.f64 (.f64 3 x.re) x.im)

Compiler

Compiled 396 to 315 computations (20.5% saved)

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4925	605
1	4925	605

prune68.0ms (1.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	51	6	57

Error

0.0b

Counts

57 → 6

Compiler

Compiled 751 to 514 computations (31.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
0.6b	(cbrt.f64 x.re)
0.6b	(cbrt.f64 x.re)
0.6b	(cbrt.f64 x.re)

rewrite96.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_3178`
23×	`add-sqr-sqrt_binary64_3169`
15×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229`
6×	`add-exp-log_binary64_3185` `swap-sqr_binary64_3114` `associate-l_binary64_3088` `associate-r_binary64_3087`
4×	`add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `unswap-sqr_binary64_3115`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `*-commutative_binary64_3078`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
1.0ms	(cbrt.f64 x.re)
1.0ms	(cbrt.f64 x.re)
1.0ms	(cbrt.f64 x.re)

Compiler

Compiled 1670 to 672 computations (59.8% saved)

series407.0ms (9.3%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

117.0ms	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
108.0ms	(cbrt.f64 x.re)
88.0ms	(cbrt.f64 x.re)
82.0ms	(cbrt.f64 x.re)

Compiler

Compiled 735 to 527 computations (28.3% saved)

simplify93.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4874	647
1	4874	647

prune107.0ms (2.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Error

0.0b

Counts

91 → 6

Compiler

Compiled 1743 to 817 computations (53.1% saved)

regimes309.0ms (7.1%)

Accuracy

Total 0.2b remaining (97.6%)

Threshold costs 0.2b (97.6%)

Compiler

Compiled 2013 to 1488 computations (26.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	20
1	24	20

end0.0ms (0%)

sample1.5s (35.1%)

Algorithm

1×

intervals

Results

415.0ms	8000×	body	128	valid
28.0ms	572×	body	128	invalid

Compiler

Compiled 705 to 520 computations (26.2% saved)

Details

analyze405.0ms (9.3%)

sample37.0ms (0.8%)

simplify186.0ms (4.3%)

prune7.0ms (0.2%)

localize7.0ms (0.2%)

rewrite56.0ms (1.3%)

series169.0ms (3.9%)

simplify81.0ms (1.9%)

prune79.0ms (1.8%)

localize13.0ms (0.3%)

rewrite80.0ms (1.8%)

series194.0ms (4.4%)

simplify63.0ms (1.5%)

prune52.0ms (1.2%)

localize11.0ms (0.2%)

rewrite63.0ms (1.4%)

series161.0ms (3.7%)

simplify70.0ms (1.6%)

prune68.0ms (1.6%)

localize11.0ms (0.2%)

rewrite96.0ms (2.2%)

series407.0ms (9.3%)

simplify93.0ms (2.1%)

prune107.0ms (2.5%)

regimes309.0ms (7.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.5s (35.1%)

Profiling