Details

analyze335.0ms (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)

sample80.0ms (1.6%)

Algorithm

1×

intervals

Results

25.0ms	71×	body	1024	valid
15.0ms	63×	body	1024	invalid
8.0ms	126×	body	128	valid
6.0ms	35×	body	512	valid
6.0ms	34×	body	512	invalid
4.0ms	58×	body	128	invalid
3.0ms	24×	body	256	valid
2.0ms	14×	body	256	invalid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify217.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	5282	18

prune4.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
4×	`associate-r_binary64_18` `*-un-lft-identity_binary64_78`
3×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
2×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `associate-*r/_binary64_20`
1×	`distribute-lft-in_binary64_27` `-commutative_binary64_9` `associate-l*_binary64_19` `add-log-exp_binary64_117` `flip-+_binary64_52` `distribute-rgt-in_binary64_28` `distribute-lft-out_binary64_29` `flip3-+_binary64_81`

Counts

1 → 23

Calls

1 calls:

11.0ms

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

series149.0ms (3%)

Counts

1 → 10

Calls

1 calls:

149.0ms

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

Compiler

Compiled 249 to 201 computations (19.3% saved)

simplify88.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4953	637
1	4953	637

prune33.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Error

Counts

34 → 3

Compiler

Compiled 556 to 230 computations (58.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_114`
9×	`add-exp-log_binary64_116`
8×	`pow1_binary64_139`
6×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
5×	`add-log-exp_binary64_117`
4×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127`
3×	`times-frac_binary64_84` `associate-r_binary64_18` `associate-/r*_binary64_22` `pow-prod-down_binary64_149`
2×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `div-inv_binary64_75`
1×	`+-commutative_binary64_8` `-commutative_binary64_9` `associate-l_binary64_19` `flip-+_binary64_52` `frac-2neg_binary64_89` `associate-/l_binary64_23` `clear-num_binary64_77` `distribute-lft-out_binary64_29` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

3 → 51

Calls

3 calls:

8.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
6.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
6.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

series419.0ms (8.5%)

Counts

3 → 30

Calls

3 calls:

221.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
108.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
89.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))

Compiler

Compiled 845 to 621 computations (26.5% saved)

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4959	1349
1	4959	1349

prune72.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	81	3	84

Error

Counts

84 → 3

Compiler

Compiled 1518 to 735 computations (51.6% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 im) -3)
0.0b	(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))
0.0b	(pow.f64 (exp.f64 im) 3)
6.8b	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite48.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`exp-prod_binary64_130`
47×	`*-un-lft-identity_binary64_78`
35×	`add-sqr-sqrt_binary64_100`
33×	`add-cube-cbrt_binary64_113`
24×	`distribute-rgt-neg-in_binary64_36`
20×	`distribute-lft-neg-in_binary64_35`
15×	`pow-prod-down_binary64_149`
13×	`pow-sqr_binary64_51` `pow-prod-up_binary64_148` `pow1_binary64_139`
8×	`neg-mul-1_binary64_74` `pow-pow_binary64_150`
7×	`add-cbrt-cube_binary64_114` `exp-neg_binary64_125`
6×	`add-log-exp_binary64_117` `unpow-prod-down_binary64_157` `exp-diff_binary64_126` `neg-sub0_binary64_73` `pow-unpow_binary64_155`
4×	`frac-times_binary64_88` `add-exp-log_binary64_116`
3×	`associate-l_binary64_19` `swap-sqr_binary64_45` `associate-r_binary64_18` `cube-prod_binary64_106`
2×	`pow-exp_binary64_146` `pow-to-exp_binary64_147` `sqr-pow_binary64_50` `associate-l/_binary64_21` `associate-r/_binary64_20`
1×	`rem-cube-cbrt_binary64_101` `cube-mult_binary64_108` `pow2_binary64_159` `*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `flip3--_binary64_82` `diff-log_binary64_170` `un-div-inv_binary64_76` `flip--_binary64_53` `unswap-sqr_binary64_46` `cancel-sign-sub-inv_binary64_44` `pow-plus_binary64_141` `unpow3_binary64_144` `distribute-rgt-out--_binary64_32` `sub-neg_binary64_71`

Counts

4 → 131

Calls

4 calls:

18.0ms	(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))
7.0ms	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
3.0ms	(pow.f64 (exp.f64 im) 3)
3.0ms	(pow.f64 (exp.f64 im) -3)

series196.0ms (4%)

Counts

4 → 24

Calls

4 calls:

62.0ms	(pow.f64 (exp.f64 im) -3)
59.0ms	(-.f64 (.f64 (exp.f64 im) (exp.f64 im)) (.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
41.0ms	(pow.f64 (exp.f64 im) 3)
33.0ms	(*.f64 (exp.f64 (neg.f64 im)) (exp.f64 (neg.f64 im)))

Compiler

Compiled 1162 to 758 computations (34.8% saved)

simplify77.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5097	1193

prune210.0ms (4.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	155	3	158

Error

Counts

158 → 3

Compiler

Compiled 5633 to 2011 computations (64.3% saved)

regimes119.0ms (2.4%)

Accuracy

Total 0.0b remaining (38.1%)

Threshold costs 0.0b (38.1%)

Compiler

Compiled 832 to 670 computations (19.5% 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%)

sample2.7s (55.7%)

Algorithm

1×

intervals

Results

710.0ms	2006×	body	1024	valid
460.0ms	1959×	body	1024	invalid
284.0ms	4489×	body	128	valid
191.0ms	1014×	body	512	valid
170.0ms	1011×	body	512	invalid
162.0ms	2549×	body	128	invalid
61.0ms	484×	body	256	valid
54.0ms	470×	body	256	invalid
8.0ms	7×	body	2048	valid

Compiler

Compiled 153 to 122 computations (20.3% saved)

Details

analyze335.0ms (6.8%)

sample80.0ms (1.6%)

simplify217.0ms (4.4%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite12.0ms (0.3%)

series149.0ms (3%)

simplify88.0ms (1.8%)

prune33.0ms (0.7%)

localize9.0ms (0.2%)

rewrite25.0ms (0.5%)

series419.0ms (8.5%)

simplify62.0ms (1.3%)

prune72.0ms (1.5%)

localize18.0ms (0.4%)

rewrite48.0ms (1%)

series196.0ms (4%)

simplify77.0ms (1.6%)

prune210.0ms (4.3%)

regimes119.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.7s (55.7%)

Profiling