Details

analyze380.0ms (4.1%)

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
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample148.0ms (1.6%)

Algorithm

1×

intervals

Results

75.0ms	142×	body	1280	valid
22.0ms	71×	body	640	valid
14.0ms	41×	body	1280	invalid
12.0ms	38×	body	640	invalid
7.0ms	33×	body	320	valid
2.0ms	14×	body	320	invalid
2.0ms	14×	body	160	invalid
1.0ms	22×	body	80	invalid
1.0ms	7×	body	160	valid
0.0ms	3×	body	80	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4767	18
1	4767	18

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 59.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.5b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

11.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series23.0ms (0.2%)

Counts

2 → 6

Calls

2 calls:

19.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5085	780

prune51.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	3	44

Merged error: 0.1b

Counts

44 → 3

Compiler

Compiled 767 to 317 computations (58.7% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 1/60 (pow.f64 im 5))
0.1b	(*.f64 (pow.f64 im 3) -1/3)
0.1b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
18×	`add-exp-log_binary64`
16×	`associate-l_binary64`
13×	`associate-r_binary64`
12×	`add-cbrt-cube_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`prod-exp_binary64`
8×	`pow1_binary64` `unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
5×	`cbrt-unprod_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `*-commutative_binary64`
2×	`pow-to-exp_binary64` `associate-*r/_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

3 → 78

Calls

3 calls:

12.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
6.0ms	(*.f64 (pow.f64 im 3) -1/3)
6.0ms	(*.f64 1/60 (pow.f64 im 5))

series51.0ms (0.5%)

Counts

3 → 9

Calls

3 calls:

41.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
5.0ms	(*.f64 1/60 (pow.f64 im 5))
4.0ms	(*.f64 (pow.f64 im 3) -1/3)

simplify103.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4938	1402
1	4938	1402

prune110.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	82	5	87
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	82	8	90

Merged error: 0.1b

Counts

90 → 8

Compiler

Compiled 2543 to 1948 computations (23.4% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))

rewrite44.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

11.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))
11.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))
11.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))
9.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))))

series500.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

228.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))))
93.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))
90.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))
89.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))

simplify160.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4979	4162
1	4979	4162

prune317.0ms (3.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	78	6	84
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	80	12	92

Merged error: 0.0b

Counts

92 → 12

Compiler

Compiled 6908 to 5394 computations (21.9% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))))
0.6b	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64` `associate-*r/_binary64`
11×	`pow1_binary64` `add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1/3_binary64` `add-cube-cbrt_binary64` `flip-+_binary64` `cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 74

Calls

4 calls:

11.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))
11.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))
9.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))))
7.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))

series425.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

227.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))))
89.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))
88.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))
19.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))

simplify95.0ms (1%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4953	4280
1	4953	4280

prune311.0ms (3.3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	81	5	86
Fresh	3	6	9
Picked	0	1	1
Done	0	2	2
Total	84	14	98

Merged error: 0.0b

Counts

98 → 14

Compiler

Compiled 6618 to 5184 computations (21.7% saved)

regimes297.0ms (3.2%)

Compiler: Compiled 3708 to 3056 computations (17.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	30
1	51	30

end0.0ms (0%)

sample6.0s (64%)

Algorithm

1×

intervals

Results

2.3s	4269×	body	1280	valid
752.0ms	2322×	body	640	valid
502.0ms	1440×	body	1280	invalid
318.0ms	1327×	body	640	invalid
194.0ms	905×	body	320	valid
107.0ms	635×	body	320	invalid
48.0ms	366×	body	160	valid
39.0ms	327×	body	160	invalid
34.0ms	521×	body	80	invalid
9.0ms	138×	body	80	valid

Compiler

Compiled 998 to 819 computations (17.9% saved)

Details

analyze380.0ms (4.1%)

sample148.0ms (1.6%)

simplify87.0ms (0.9%)

prune5.0ms (0.1%)

localize10.0ms (0.1%)

rewrite19.0ms (0.2%)

series23.0ms (0.2%)

simplify73.0ms (0.8%)

prune51.0ms (0.5%)

localize16.0ms (0.2%)

rewrite27.0ms (0.3%)

series51.0ms (0.5%)

simplify103.0ms (1.1%)

prune110.0ms (1.2%)

localize24.0ms (0.3%)

rewrite44.0ms (0.5%)

series500.0ms (5.4%)

simplify160.0ms (1.7%)

prune317.0ms (3.4%)

localize27.0ms (0.3%)

rewrite40.0ms (0.4%)

series425.0ms (4.6%)

simplify95.0ms (1%)

prune311.0ms (3.3%)

regimes297.0ms (3.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample6.0s (64%)

Profiling