Details

analyze386.0ms (4.5%)

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 12 to 11 computations (8.3% saved)

sample84.0ms (1%)

Algorithm

1×

intervals

Results

26.0ms	64×	body	1024	valid
15.0ms	66×	body	1024	invalid
9.0ms	147×	body	128	valid
7.0ms	28×	body	512	invalid
5.0ms	29×	body	512	valid
2.0ms	22×	body	256	invalid
2.0ms	16×	body	256	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify274.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (169.0ms)

Iter	Nodes	Cost
0	5290	18

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite75.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `*-un-lft-identity_binary64_1101`
4×	`add-log-exp_binary64_1140` `associate-r_binary64_1041`
3×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `add-cube-cbrt_binary64_1136` `cbrt-unprod_binary64_1134` `add-sqr-sqrt_binary64_1123`
2×	`flip3-+_binary64_1104` `associate-*r/_binary64_1043` `flip-+_binary64_1075` `distribute-lft-out_binary64_1052`
1×	`distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `associate-l_binary64_1042` `*-commutative_binary64_1032` `sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

2 → 35

Calls

2 calls:

16.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
10.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 692 to 227 computations (67.2% saved)

series236.0ms (2.8%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

162.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
42.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 740 to 530 computations (28.4% saved)

simplify97.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4922	964
1	4922	964

prune54.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	4	54

Error

Counts

54 → 4

Compiler

Compiled 879 to 361 computations (58.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
0.0b	(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))
0.3b	(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) 3)))
0.4b	(pow.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) 3)

rewrite128.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`*-un-lft-identity_binary64_1101`
9×	`add-sqr-sqrt_binary64_1123` `pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
7×	`add-cube-cbrt_binary64_1136`
6×	`add-log-exp_binary64_1140` `associate-*l/_binary64_1044`
5×	`associate-l_binary64_1042`
4×	`flip3-+_binary64_1104` `cube-div_binary64_1130` `flip-+_binary64_1075`
3×	`pow-unpow_binary64_1178` `associate-r_binary64_1041`
2×	`pow-prod-down_binary64_1172` `pow-pow_binary64_1173` `prod-exp_binary64_1150` `pow-exp_binary64_1169` `rem-cube-cbrt_binary64_1124` `cbrt-unprod_binary64_1134` `associate-*r/_binary64_1043` `cbrt-div_binary64_1133` `cosh-undef_binary64_1295` `distribute-lft-out_binary64_1052`
1×	`unpow-prod-down_binary64_1180` `pow-to-exp_binary64_1170` `unpow3_binary64_1167` `cube-mult_binary64_1131` `cube-prod_binary64_1129` `sqr-pow_binary64_1073` `pow1/3_binary64_1183` `cbrt-prod_binary64_1132` `unswap-sqr_binary64_1069` `*-commutative_binary64_1032` `sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

4 → 70

Calls

4 calls:

14.0ms	(pow.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) 3)
13.0ms	(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))
8.0ms	(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) 3)))
5.0ms	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))

Compiler

Compiled 1627 to 596 computations (63.4% saved)

series920.0ms (10.8%)

Error

Counts

4 → 42

Calls

4 calls:

464.0ms	(pow.f64 (*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) 3)
185.0ms	(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re)) 3)))
167.0ms	(*.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))) (cos.f64 re))
40.0ms	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))

Compiler

Compiled 2720 to 1937 computations (28.8% saved)

simplify106.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4979	2714
1	4979	2714

prune148.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	112	4	116

Error

Counts

116 → 4

Compiler

Compiled 2486 to 1128 computations (54.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
0.0b	(exp.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
0.1b	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (cos.f64 re))
0.6b	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (cos.f64 re)))

rewrite106.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`*-un-lft-identity_binary64_1101`
14×	`unpow-prod-down_binary64_1180`
12×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123`
11×	`log-prod_binary64_1187`
10×	`exp-prod_binary64_1153`
9×	`add-log-exp_binary64_1140`
8×	`sqrt-prod_binary64_1117` `pow-pow_binary64_1173`
7×	`add-exp-log_binary64_1139`
6×	`pow1_binary64_1162` `sqrt-pow1_binary64_1119`
4×	`add-cbrt-cube_binary64_1137`
3×	`exp-sum_binary64_1147` `rem-log-exp_binary64_1142` `pow-unpow_binary64_1178` `cosh-undef_binary64_1295` `distribute-lft-out_binary64_1052`
2×	`sqr-pow_binary64_1073` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `sum-log_binary64_1192` `rem-exp-log_binary64_1141`
1×	`log-pow_binary64_1190` `pow1/2_binary64_1181` `sqrt-pow2_binary64_1120` `flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031`

Counts

4 → 79

Calls

4 calls:

10.0ms	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (cos.f64 re))
7.0ms	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (cos.f64 re)))
6.0ms	(exp.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))
5.0ms	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))

Compiler

Compiled 1604 to 343 computations (78.6% saved)

series1.3s (15%)

Error

Counts

4 → 36

Calls

4 calls:

675.0ms	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (cos.f64 re)))
457.0ms	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))) (cos.f64 re))
45.0ms	(+.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))
40.0ms	(exp.f64 (+.f64 (exp.f64 im) (exp.f64 (neg.f64 im))))

Compiler

Compiled 2192 to 1285 computations (41.4% saved)

simplify106.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4946	2833
1	4946	2833

prune117.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	115	4	119

Error

Counts

119 → 4

Compiler

Compiled 2264 to 648 computations (71.4% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 im) 2)
0.0b	(pow.f64 (exp.f64 im) -2)
6.0b	(-.f64 (pow.f64 (exp.f64 im) -2) (pow.f64 (exp.f64 im) 2))
6.0b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite170.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64_1123`
17×	`*-un-lft-identity_binary64_1101`
16×	`unpow-prod-down_binary64_1180`
13×	`add-cube-cbrt_binary64_1136` `difference-of-squares_binary64_1070`
11×	`cancel-sign-sub-inv_binary64_1067`
10×	`sqr-pow_binary64_1073`
8×	`add-log-exp_binary64_1140` `pow-pow_binary64_1173`
6×	`pow1_binary64_1162` `pow-unpow_binary64_1178` `exp-prod_binary64_1153`
5×	`unpow2_binary64_1166`
4×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
2×	`diff-log_binary64_1193` `flip3--_binary64_1105` `sub-neg_binary64_1094` `flip--_binary64_1076` `distribute-lft-out--_binary64_1053` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169`

Counts

4 → 89

Calls

4 calls:

9.0ms	(-.f64 (pow.f64 (exp.f64 im) -2) (pow.f64 (exp.f64 im) 2))
6.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
3.0ms	(pow.f64 (exp.f64 im) 2)
3.0ms	(pow.f64 (exp.f64 im) -2)

Compiler

Compiled 2544 to 1228 computations (51.7% saved)

series269.0ms (3.1%)

Error

Counts

4 → 24

Calls

4 calls:

104.0ms	(-.f64 (pow.f64 (exp.f64 im) -2) (pow.f64 (exp.f64 im) 2))
53.0ms	(pow.f64 (exp.f64 im) -2)
42.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
41.0ms	(pow.f64 (exp.f64 im) 2)

Compiler

Compiled 1359 to 957 computations (29.6% saved)

simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5169	1367

prune130.0ms (1.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	113	4	117

Error

Counts

117 → 4

Compiler

Compiled 2782 to 1223 computations (56% saved)

regimes375.0ms (4.4%)

Accuracy

Total 0.0b remaining (91.7%)

Threshold costs 0.0b (91.7%)

Compiler

Compiled 2876 to 2174 computations (24.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	26
1	23	26

end0.0ms (0%)

sample3.3s (38.9%)

Algorithm

1×

intervals

Results

826.0ms	1962×	body	1024	valid
537.0ms	2037×	body	1024	invalid
295.0ms	4557×	body	128	valid
218.0ms	987×	body	512	valid
201.0ms	1040×	body	512	invalid
70.0ms	487×	body	256	valid
65.0ms	471×	body	256	invalid
56.0ms	712×	body	128	invalid
7.0ms	7×	body	2048	valid

Compiler

Compiled 452 to 347 computations (23.2% saved)

Details

analyze386.0ms (4.5%)

sample84.0ms (1%)

simplify274.0ms (3.2%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite75.0ms (0.9%)

series236.0ms (2.8%)

simplify97.0ms (1.1%)

prune54.0ms (0.6%)

localize11.0ms (0.1%)

rewrite128.0ms (1.5%)

series920.0ms (10.8%)

simplify106.0ms (1.2%)

prune148.0ms (1.7%)

localize12.0ms (0.1%)

rewrite106.0ms (1.2%)

series1.3s (15%)

simplify106.0ms (1.2%)

prune117.0ms (1.4%)

localize25.0ms (0.3%)

rewrite170.0ms (2%)

series269.0ms (3.1%)

simplify96.0ms (1.1%)

prune130.0ms (1.5%)

regimes375.0ms (4.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.3s (38.9%)

Profiling