Details

analyze351.0ms (6.8%)

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
25%	74.9%	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 13 to 12 computations (7.7% saved)

sample87.0ms (1.7%)

Algorithm

1×

intervals

Results

24.0ms	53×	body	1024	valid
18.0ms	61×	body	1024	invalid
10.0ms	161×	body	128	valid
8.0ms	42×	body	512	invalid
5.0ms	84×	body	128	invalid
5.0ms	24×	body	512	valid
2.0ms	18×	body	256	valid
2.0ms	14×	body	256	invalid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify262.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5100	18

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 46 to 42 computations (8.7% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115` `pow1_binary64_140` `*-un-lft-identity_binary64_79`
4×	`add-log-exp_binary64_118` `associate-r_binary64_19`
3×	`add-cube-cbrt_binary64_114` `add-sqr-sqrt_binary64_101` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `pow-prod-down_binary64_150`
2×	`flip-+_binary64_53` `associate-*r/_binary64_21` `flip3-+_binary64_82` `distribute-lft-out_binary64_30`
1×	`associate-l_binary64_20` `sum-log_binary64_170` `distribute-lft-in_binary64_28` `+-commutative_binary64_9` `*-commutative_binary64_10` `distribute-rgt-in_binary64_29`

Counts

2 → 35

Calls

2 calls:

14.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
9.0ms	(+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))

series157.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

130.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
27.0ms	(+.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))

simplify76.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4939	719
1	4939	719

prune43.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

Compiler

Compiled 769 to 384 computations (50.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0b	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0b	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_115`
9×	`add-exp-log_binary64_117`
8×	`pow1_binary64_140`
6×	`add-cube-cbrt_binary64_114` `add-sqr-sqrt_binary64_101` `*-un-lft-identity_binary64_79`
5×	`add-log-exp_binary64_118`
4×	`cbrt-unprod_binary64_112` `prod-exp_binary64_128`
3×	`associate-/r_binary64_23` `times-frac_binary64_85` `pow-prod-down_binary64_150` `associate-r*_binary64_19`
2×	`cbrt-undiv_binary64_113` `div-exp_binary64_130` `div-inv_binary64_76`
1×	`associate-l_binary64_20` `flip-+_binary64_53` `sum-log_binary64_170` `associate-/l_binary64_24` `+-commutative_binary64_9` `-commutative_binary64_10` `clear-num_binary64_78` `flip3-+_binary64_82` `distribute-lft-out_binary64_30` `frac-2neg_binary64_90`

Counts

3 → 51

Calls

3 calls:

10.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
7.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
6.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

series323.0ms (6.3%)

Counts

3 → 9

Calls

3 calls:

171.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
85.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
67.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))

simplify75.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4956	984
1	4956	984

prune61.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	60	3	63

Merged error: 0b

Counts

63 → 3

Compiler

Compiled 1209 to 639 computations (47.1% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.3b	(pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)
21.3b	(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)))

rewrite37.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_79`
9×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115` `add-sqr-sqrt_binary64_101` `pow1_binary64_140`
8×	`associate-*r/_binary64_21`
7×	`add-cube-cbrt_binary64_114`
6×	`add-log-exp_binary64_118`
4×	`cube-div_binary64_108` `flip-+_binary64_53` `flip3-+_binary64_82` `associate-r_binary64_19`
3×	`associate-l_binary64_20` `pow-unpow_binary64_156`
2×	`pow-exp_binary64_147` `pow-pow_binary64_151` `cbrt-div_binary64_111` `rem-cube-cbrt_binary64_102` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `pow-prod-down_binary64_150` `distribute-lft-out_binary64_30`
1×	`pow-to-exp_binary64_148` `sqr-pow_binary64_51` `sum-log_binary64_170` `distribute-lft-in_binary64_28` `+-commutative_binary64_9` `cube-mult_binary64_109` `unswap-sqr_binary64_47` `*-commutative_binary64_10` `unpow-prod-down_binary64_158` `cbrt-prod_binary64_110` `pow1/3_binary64_161` `distribute-rgt-in_binary64_29` `cube-prod_binary64_107` `unpow3_binary64_145`

Counts

4 → 70

Calls

4 calls:

10.0ms	(pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)
10.0ms	(*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
5.0ms	(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)))

series493.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

240.0ms	(pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)
125.0ms	(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)))
103.0ms	(*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
25.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4952	1520
1	4952	1520

prune77.0ms (1.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	82	3	85

Merged error: 0b

Counts

85 → 3

Compiler

Compiled 1659 to 718 computations (56.7% saved)

regimes65.0ms (1.3%)

Compiler: Compiled 300 to 270 computations (10% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	24
1	13	24

end0.0ms (0%)

sample2.9s (56.2%)

Algorithm

1×

intervals

Results

838.0ms	1936×	body	1024	valid
570.0ms	1994×	body	1024	invalid
303.0ms	4534×	body	128	valid
221.0ms	1014×	body	512	valid
211.0ms	1079×	body	512	invalid
178.0ms	2606×	body	128	invalid
74.0ms	507×	body	256	valid
64.0ms	483×	body	256	invalid
9.0ms	9×	body	2048	valid

Compiler

Compiled 69 to 60 computations (13% saved)

Details

analyze351.0ms (6.8%)

sample87.0ms (1.7%)

simplify262.0ms (5.1%)

prune5.0ms (0.1%)

localize10.0ms (0.2%)

rewrite26.0ms (0.5%)

series157.0ms (3.1%)

simplify76.0ms (1.5%)

prune43.0ms (0.8%)

localize9.0ms (0.2%)

rewrite27.0ms (0.5%)

series323.0ms (6.3%)

simplify75.0ms (1.4%)

prune61.0ms (1.2%)

localize13.0ms (0.3%)

rewrite37.0ms (0.7%)

series493.0ms (9.6%)

simplify57.0ms (1.1%)

prune77.0ms (1.5%)

regimes65.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.9s (56.2%)

Profiling