Details

analyze134.0ms (4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
81.2%	18.7%	0.1%	5
81.2%	15.6%	3.2%	6
81.2%	15.6%	3.2%	7
81.2%	14%	4.8%	8
81.2%	14%	4.8%	9
81.2%	13.3%	5.6%	10
81.2%	13.3%	5.6%	11
81.2%	12.9%	6%	12
81.2%	12.9%	6%	13
81.2%	12.7%	6.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample38.0ms (1.1%)

Algorithm

1×

intervals

Results

12.0ms	44×	body	1024	valid
8.0ms	187×	body	128	valid
3.0ms	17×	body	1024	invalid
2.0ms	16×	body	512	valid
2.0ms	39×	body	128	invalid
1.0ms	8×	body	512	invalid
1.0ms	9×	body	256	invalid
1.0ms	9×	body	256	valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify97.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

prune2.0ms (0.1%)

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: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_1123`
3×	`-un-lft-identity_binary64_1101` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041` `associate-l*_binary64_1042`
2×	`add-exp-log_binary64_1139`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

series67.0ms (2%)

Counts

1 → 6

Calls

1 calls:

67.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

simplify77.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4737	246
1	4737	246

prune17.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0.0b

Counts

25 → 4

Compiler

Compiled 236 to 77 computations (67.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))
0.1b	(sqrt.f64 (exp.f64 re))
0.1b	(sqrt.f64 (exp.f64 re))

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_1123`
13×	`*-un-lft-identity_binary64_1101` `pow1_binary64_1162` `sqrt-prod_binary64_1117` `add-cube-cbrt_binary64_1136`
11×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`associate-l_binary64_1042`
8×	`sqrt-pow1_binary64_1119`
7×	`associate-r_binary64_1041`
6×	`exp-prod_binary64_1153`
4×	`cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172`
2×	`*-commutative_binary64_1032` `rem-sqrt-square_binary64_1114` `unswap-sqr_binary64_1069` `pow1/2_binary64_1181`

Counts

4 → 75

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))
7.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
2.0ms	(sqrt.f64 (exp.f64 re))
2.0ms	(sqrt.f64 (exp.f64 re))

series188.0ms (5.6%)

Counts

4 → 18

Calls

4 calls:

92.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
72.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))
12.0ms	(sqrt.f64 (exp.f64 re))
11.0ms	(sqrt.f64 (exp.f64 re))

simplify68.0ms (2%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4872	891
1	4872	891

prune58.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	92	5	97

Merged error: 0b

Counts

97 → 5

Compiler

Compiled 1197 to 286 computations (76.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
0.2b	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
15.4b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_1123`
8×	`pow1_binary64_1162` `add-cbrt-cube_binary64_1137` `cbrt-prod_binary64_1132`
7×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
6×	`add-exp-log_binary64_1139`
3×	`add-log-exp_binary64_1140` `pow-unpow_binary64_1178` `associate-r_binary64_1041` `associate-l_binary64_1042`
2×	`pow-exp_binary64_1169` `cube-prod_binary64_1129` `cube-mult_binary64_1131` `rem-cube-cbrt_binary64_1124` `cbrt-unprod_binary64_1134` `unpow-prod-down_binary64_1180` `prod-exp_binary64_1150` `pow-pow_binary64_1173` `unpow3_binary64_1167` `pow-prod-down_binary64_1172` `sqr-pow_binary64_1073`
1×	`*-commutative_binary64_1032` `pow1/3_binary64_1183` `unswap-sqr_binary64_1069` `pow-to-exp_binary64_1170` `rem-cbrt-cube_binary64_1125`

Counts

3 → 57

Calls

3 calls:

5.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
5.0ms	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

series260.0ms (7.7%)

Counts

3 → 18

Calls

3 calls:

124.0ms	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
74.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
62.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

simplify53.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5074	827

prune47.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	75	5	80

Merged error: 0b

Counts

80 → 5

Compiler

Compiled 837 to 332 computations (60.3% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (exp.f64 (sqrt.f64 (exp.f64 re))) (sin.f64 im))
0.1b	(sqrt.f64 (exp.f64 re))
0.1b	(sqrt.f64 (exp.f64 re))
1.8b	(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (exp.f64 re))) (sin.f64 im)))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1123`
14×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
12×	`exp-prod_binary64_1153`
9×	`sqrt-prod_binary64_1117`
8×	`sqrt-pow1_binary64_1119`
7×	`pow-pow_binary64_1173` `pow1_binary64_1162` `log-prod_binary64_1187`
6×	`unpow-prod-down_binary64_1180`
5×	`add-exp-log_binary64_1139`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
3×	`rem-log-exp_binary64_1142` `pow-unpow_binary64_1178`
2×	`pow-exp_binary64_1169` `rem-sqrt-square_binary64_1114` `sqr-pow_binary64_1073` `pow-to-exp_binary64_1170` `pow1/2_binary64_1181`
1×	`log-pow_binary64_1190`

Counts

4 → 73

Calls

4 calls:

5.0ms	(pow.f64 (exp.f64 (sqrt.f64 (exp.f64 re))) (sin.f64 im))
4.0ms	(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (exp.f64 re))) (sin.f64 im)))
2.0ms	(sqrt.f64 (exp.f64 re))
2.0ms	(sqrt.f64 (exp.f64 re))

series680.0ms (20.2%)

Counts

4 → 18

Calls

4 calls:

411.0ms	(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (exp.f64 re))) (sin.f64 im)))
244.0ms	(pow.f64 (exp.f64 (sqrt.f64 (exp.f64 re))) (sin.f64 im))
13.0ms	(sqrt.f64 (exp.f64 re))
11.0ms	(sqrt.f64 (exp.f64 re))

simplify68.0ms (2%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4928	1031
1	4928	1031

prune64.0ms (1.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	91	5	96

Merged error: 0b

Counts

96 → 5

Compiler

Compiled 1424 to 339 computations (76.2% saved)

regimes77.0ms (2.3%)

Compiler: Compiled 432 to 330 computations (23.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms (0%)

sample1.3s (37.9%)

Algorithm

1×

intervals

Results

330.0ms	1350×	body	1024	valid
259.0ms	5646×	body	128	valid
112.0ms	665×	body	1024	invalid
88.0ms	665×	body	512	valid
43.0ms	841×	body	128	invalid
37.0ms	298×	body	512	invalid
29.0ms	334×	body	256	valid
15.0ms	173×	body	256	invalid
2.0ms	5×	body	2048	valid

Compiler

Compiled 93 to 73 computations (21.5% saved)

Details

analyze134.0ms (4%)

sample38.0ms (1.1%)

simplify97.0ms (2.9%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite6.0ms (0.2%)

series67.0ms (2%)

simplify77.0ms (2.3%)

prune17.0ms (0.5%)

localize10.0ms (0.3%)

rewrite26.0ms (0.8%)

series188.0ms (5.6%)

simplify68.0ms (2%)

prune58.0ms (1.7%)

localize7.0ms (0.2%)

rewrite16.0ms (0.5%)

series260.0ms (7.7%)

simplify53.0ms (1.6%)

prune47.0ms (1.4%)

localize10.0ms (0.3%)

rewrite17.0ms (0.5%)

series680.0ms (20.2%)

simplify68.0ms (2%)

prune64.0ms (1.9%)

regimes77.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (37.9%)

Profiling