Details

analyze344.0ms (3.9%)

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
12.5%	87.4%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample149.0ms (1.7%)

Algorithm

1×

intervals

Results

56.0ms	102×	body	1280	valid
27.0ms	83×	body	640	valid
20.0ms	48×	body	1280	invalid
11.0ms	47×	body	640	invalid
9.0ms	47×	body	320	valid
5.0ms	79×	body	80	invalid
4.0ms	21×	body	320	invalid
2.0ms	12×	body	160	valid
2.0ms	13×	body	160	invalid
1.0ms	12×	body	80	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify80.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4863	18
1	4863	18

prune4.0ms (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: 45.8b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.8b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite22.0ms (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:

14.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series21.0ms (0.2%)

Counts

2 → 6

Calls

2 calls:

17.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4894	764
1	4894	764

prune54.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	5	44

Merged error: 0.4b

Counts

44 → 5

Compiler

Compiled 798 to 331 computations (58.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`add-exp-log_binary64`
16×	`associate-l_binary64`
13×	`associate-r_binary64` `add-cbrt-cube_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`pow1_binary64` `prod-exp_binary64`
8×	`unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`add-log-exp_binary64`
5×	`cbrt-unprod_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow-prod-down_binary64` `*-commutative_binary64`
2×	`pow-to-exp_binary64` `associate-*r/_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 89

Calls

4 calls:

12.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
8.0ms	(-.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))

series63.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
14.0ms	(-.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)

simplify108.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4975	1691
1	4975	1691

prune135.0ms (1.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	94	7	101
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	94	12	106

Merged error: 0.3b

Counts

106 → 12

Compiler

Compiled 3023 to 2320 computations (23.3% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (sin.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 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))))
11.9b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))
11.9b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))
11.9b	(cbrt.f64 (.f64 (.f64 1/2 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))))

series406.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

135.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (sin.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 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))))
92.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.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 (sin.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 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))

simplify117.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4942	4115
1	4942	4115

prune326.0ms (3.7%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	78	6	84
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	80	16	96

Merged error: 0.3b

Counts

96 → 16

Compiler

Compiled 6973 to 5442 computations (22% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (*.f64 1/2 (sin.f64 re)))
0.6b	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
11.9b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))
11.9b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-div_binary64` `cbrt-prod_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-*r/_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`

Counts

4 → 44

Calls

4 calls:

13.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.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 (sin.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)))))
3.0ms	(cbrt.f64 (*.f64 1/2 (sin.f64 re)))

series223.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))
91.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5))))))
21.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
20.0ms	(cbrt.f64 (*.f64 1/2 (sin.f64 re)))

simplify140.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4901	1939
1	4901	1939

prune163.0ms (1.8%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	13	13
Picked	0	1	1
Done	0	2	2
Total	56	16	72

Merged error: 0.3b

Counts

72 → 16

Compiler

Compiled 4291 to 3325 computations (22.5% saved)

regimes371.0ms (4.2%)

Compiler: Compiled 4070 to 3316 computations (18.5% 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%)

sample5.9s (66.3%)

Algorithm

1×

intervals

Results

1.9s	3301×	body	1280	valid
827.0ms	2543×	body	640	valid
535.0ms	1490×	body	1280	invalid
316.0ms	1277×	body	640	invalid
273.0ms	1303×	body	320	valid
155.0ms	2429×	body	80	invalid
112.0ms	622×	body	320	invalid
76.0ms	594×	body	160	valid
40.0ms	325×	body	160	invalid
20.0ms	259×	body	80	valid

Compiler

Compiled 870 to 707 computations (18.7% saved)

Details

analyze344.0ms (3.9%)

sample149.0ms (1.7%)

simplify80.0ms (0.9%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite22.0ms (0.2%)

series21.0ms (0.2%)

simplify91.0ms (1%)

prune54.0ms (0.6%)

localize14.0ms (0.2%)

rewrite34.0ms (0.4%)

series63.0ms (0.7%)

simplify108.0ms (1.2%)

prune135.0ms (1.5%)

localize23.0ms (0.3%)

rewrite44.0ms (0.5%)

series406.0ms (4.6%)

simplify117.0ms (1.3%)

prune326.0ms (3.7%)

localize23.0ms (0.3%)

rewrite36.0ms (0.4%)

series223.0ms (2.5%)

simplify140.0ms (1.6%)

prune163.0ms (1.8%)

regimes371.0ms (4.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample5.9s (66.3%)

Profiling