Details

analyze339.0ms (5.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
25%	25%	50%	2
25%	25%	50%	3
31.2%	18.7%	50%	4
31.2%	18.7%	50%	5
34.3%	15.6%	50%	6
34.3%	15.6%	50%	7
35.9%	14%	50%	8
35.9%	14%	50%	9
36.7%	13.3%	50%	10
36.7%	13.3%	50%	11
37.1%	12.9%	50%	12
37.1%	12.9%	50%	13
37.3%	12.7%	50%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample35.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	190×	body	128	valid
6.0ms	23×	body	4096	valid
5.0ms	22×	body	2048	valid
4.0ms	256×	pre	128	true
2.0ms	12×	body	1024	valid
1.0ms	7×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 33 to 28 computations (15.2% saved)

simplify110.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	249	23
1	249	23

prune3.0ms (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

Merged error: 37.2b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
0.4b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
28.6b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_441`
7×	`*-un-lft-identity_binary64_419` `pow1_binary64_480`
5×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `sqrt-prod_binary64_435`
4×	`sqrt-div_binary64_436`
3×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `sqrt-pow1_binary64_437` `cancel-sign-sub-inv_binary64_385`
2×	`difference-of-squares_binary64_388` `pow1/2_binary64_499` `flip3--_binary64_423` `associate-*r/_binary64_361` `flip--_binary64_394`
1×	`flip3-+_binary64_422` `pow-prod-down_binary64_490` `sub-neg_binary64_412` `distribute-lft-out--_binary64_371` `flip-+_binary64_393` `diff-log_binary64_511` `rem-sqrt-square_binary64_432`

Counts

3 → 45

Calls

3 calls:

9.0ms	(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
8.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
6.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series341.0ms (5.4%)

Counts

3 → 41

Calls

3 calls:

146.0ms	(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
105.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
90.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 1230 to 1124 computations (8.6% saved)

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5037	1780

prune123.0ms (1.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	75	11	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	11	87

Merged error: 6.2b

Counts

87 → 11

Compiler

Compiled 1993 to 1147 computations (42.4% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(sqrt.f64 (*.f64 2 (-.f64 im re)))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1_binary64_480`
2×	`sqrt-div_binary64_436` `associate-*r/_binary64_361` `sqrt-pow1_binary64_437`
1×	`*-un-lft-identity_binary64_419` `pow-prod-down_binary64_490` `add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `pow1/2_binary64_499` `add-sqr-sqrt_binary64_441` `flip3--_binary64_423` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `flip--_binary64_394` `sqrt-prod_binary64_435`

Counts

1 → 13

Calls

1 calls:

5.0ms

(sqrt.f64 (*.f64 2 (-.f64 im re)))

series49.0ms (0.8%)

Counts

1 → 7

Calls

1 calls:

49.0ms

(sqrt.f64 (*.f64 2 (-.f64 im re)))

Compiler

Compiled 198 to 189 computations (4.5% saved)

simplify97.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4981	216
1	4981	216

prune30.0ms (0.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	17	3	20
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	18	13	31

Merged error: 6.2b

Counts

31 → 13

Compiler

Compiled 454 to 338 computations (25.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 im re)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))))
0.4b	(cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re))))
0.4b	(cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re))))
0.4b	(cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re))))

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`cbrt-prod_binary64_450`
23×	`add-sqr-sqrt_binary64_441`
20×	`associate-*r/_binary64_361`
18×	`sqrt-div_binary64_436` `cbrt-div_binary64_451`
15×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
11×	`pow1_binary64_480`
9×	`pow1/3_binary64_501` `flip3--_binary64_423` `flip--_binary64_394`
7×	`associate-r_binary64_359` `swap-sqr_binary64_386` `associate-l_binary64_360` `sqrt-prod_binary64_435`
6×	`add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `frac-times_binary64_429` `add-cbrt-cube_binary64_455`
2×	`associate-*l/_binary64_362` `pow-prod-down_binary64_490` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-plus_binary64_482` `*-commutative_binary64_350` `pow2_binary64_500`

Counts

4 → 93

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 im re)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))))
6.0ms	(cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re))))
5.0ms	(cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re))))
5.0ms	(cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re))))

series467.0ms (7.4%)

Counts

4 → 29

Calls

4 calls:

127.0ms	(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 im re)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))))
120.0ms	(cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re))))
111.0ms	(cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re))))
109.0ms	(cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re))))

Compiler

Compiled 1927 to 1669 computations (13.4% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4927	2258
1	4927	2258

prune207.0ms (3.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	119	16	135

Merged error: 6.2b

Counts

135 → 16

Compiler

Compiled 3856 to 2557 computations (33.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re))))
0.4b	(cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))) 2))
0.4b	(cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))) 2))
0.4b	(cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))) 2))

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`cbrt-prod_binary64_450`
21×	`unpow-prod-down_binary64_498`
14×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
4×	`pow1/3_binary64_501` `add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `sqrt-prod_binary64_435` `pow1_binary64_480`
3×	`sqr-pow_binary64_391` `unpow2_binary64_484`
2×	`sqrt-div_binary64_436` `cbrt-div_binary64_451` `associate-*r/_binary64_361`
1×	`flip3--_binary64_423` `flip--_binary64_394`

Counts

4 → 74

Calls

4 calls:

5.0ms	(cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re))))
5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))) 2))
4.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))) 2))
4.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))) 2))

series455.0ms (7.2%)

Counts

4 → 28

Calls

4 calls:

116.0ms	(cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re))))
115.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))) 2))
115.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))) 2))
108.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (-.f64 im re)))) 2))

Compiler

Compiled 2790 to 2326 computations (16.6% saved)

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4899	1962
1	4899	1962

prune264.0ms (4.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	0	14	14
Picked	1	0	1
Done	0	1	1
Total	101	17	118

Merged error: 6.2b

Counts

118 → 17

Compiler

Compiled 4746 to 3448 computations (27.3% saved)

regimes1.3s (21%)

Compiler: Compiled 9702 to 7082 computations (27% saved)

bsearch58.0ms (0.9%)

Steps

Iters	Range		Point
7	2.5219434947382085e+33	5.392348484404841e+34	3.993627441406185e+33
7	-1.2731948927329045e-95	-1.8010653230604829e-97	-1.829232573954518e-97
4	-4.382998466370368e+134	-2.99206837941586e+134	-4.319465487338597e+134

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	87
1	57	87

end0.0ms (0%)

sample2.1s (32.7%)

Algorithm

1×

intervals

Results

290.0ms	6133×	body	128	valid
150.0ms	533×	body	4096	valid
138.0ms	594×	body	2048	valid
117.0ms	8000×	pre	128	true
71.0ms	398×	body	1024	valid
32.0ms	226×	body	512	valid
10.0ms	116×	body	256	valid

Compiler

Compiled 1282 to 952 computations (25.7% saved)

Details

analyze339.0ms (5.3%)

sample35.0ms (0.6%)

simplify110.0ms (1.7%)

prune3.0ms (0%)

localize11.0ms (0.2%)

rewrite27.0ms (0.4%)

series341.0ms (5.4%)

simplify58.0ms (0.9%)

prune123.0ms (1.9%)

localize6.0ms (0.1%)

rewrite6.0ms (0.1%)

series49.0ms (0.8%)

simplify97.0ms (1.5%)

prune30.0ms (0.5%)

localize10.0ms (0.2%)

rewrite39.0ms (0.6%)

series467.0ms (7.4%)

simplify76.0ms (1.2%)

prune207.0ms (3.3%)

localize16.0ms (0.3%)

rewrite29.0ms (0.5%)

series455.0ms (7.2%)

simplify81.0ms (1.3%)

prune264.0ms (4.2%)

regimes1.3s (21%)

bsearch58.0ms (0.9%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.1s (32.7%)

Profiling