Details

analyze130.0ms (3.8%)

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)

sample47.0ms (1.4%)

Algorithm

1×

intervals

Results

16.0ms	40×	body	1024	valid
9.0ms	184×	body	128	valid
5.0ms	26×	body	1024	invalid
3.0ms	19×	body	512	valid
2.0ms	14×	body	512	invalid
1.0ms	12×	body	256	valid
1.0ms	21×	body	128	invalid
1.0ms	1×	body	2048	valid
1.0ms	6×	body	256	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify162.0ms (4.7%)

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))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_1109`
3×	`associate-r_binary64_1030` `add-cbrt-cube_binary64_1121` `associate-l_binary64_1031` `pow1_binary64_1146` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
2×	`add-exp-log_binary64_1123`
1×	`*-commutative_binary64_1021` `unswap-sqr_binary64_1056` `cbrt-unprod_binary64_1118` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134` `add-log-exp_binary64_1124`

Counts

1 → 18

Calls

1 calls:

9.0ms

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

series66.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify52.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4862	222
1	4862	222

prune13.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Merged error: 0.0b

Counts

22 → 3

Compiler

Compiled 208 to 68 computations (67.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
0.3b	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
13.2b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_1109`
8×	`add-cbrt-cube_binary64_1121` `cbrt-prod_binary64_1116` `pow1_binary64_1146`
7×	`*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
6×	`add-exp-log_binary64_1123`
3×	`associate-r_binary64_1030` `associate-l_binary64_1031` `add-log-exp_binary64_1124` `pow-unpow_binary64_1162`
2×	`unpow3_binary64_1151` `cube-prod_binary64_1113` `unpow-prod-down_binary64_1164` `rem-cube-cbrt_binary64_1110` `sqr-pow_binary64_1060` `cbrt-unprod_binary64_1118` `cube-mult_binary64_1115` `pow-exp_binary64_1153` `pow-pow_binary64_1157` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134`
1×	`*-commutative_binary64_1021` `unswap-sqr_binary64_1056` `rem-cbrt-cube_binary64_1111` `pow-to-exp_binary64_1154` `pow1/3_binary64_1167`

Counts

3 → 57

Calls

3 calls:

6.0ms	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
6.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

series248.0ms (7.3%)

Counts

3 → 9

Calls

3 calls:

121.0ms	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
66.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
60.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

simplify78.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4918	740
1	4918	740

prune43.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	66	3	69

Merged error: 0b

Counts

69 → 3

Compiler

Compiled 764 to 307 computations (59.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3))
0.0b	(pow.f64 (exp.f64 re) 3)
0.4b	(pow.f64 (sin.f64 im) 3)
13.2b	(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3)))

rewrite35.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_1109`
20×	`cube-prod_binary64_1113` `unpow-prod-down_binary64_1164`
17×	`*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
16×	`unswap-sqr_binary64_1056`
14×	`add-exp-log_binary64_1123`
12×	`associate-r_binary64_1030` `sqr-pow_binary64_1060` `associate-l_binary64_1031`
9×	`prod-exp_binary64_1134`
8×	`add-cbrt-cube_binary64_1121` `pow-exp_binary64_1153` `pow-to-exp_binary64_1154`
6×	`pow1_binary64_1146` `pow-unpow_binary64_1162`
5×	`pow-pow_binary64_1157`
4×	`unpow3_binary64_1151` `cube-mult_binary64_1115` `add-log-exp_binary64_1124`
3×	`exp-prod_binary64_1137`
2×	`rem-cube-cbrt_binary64_1110` `pow-prod-down_binary64_1156`
1×	`*-commutative_binary64_1021` `cbrt-unprod_binary64_1118` `rem-cbrt-cube_binary64_1111` `pow1/3_binary64_1167` `cbrt-prod_binary64_1116`

Counts

4 → 118

Calls

4 calls:

14.0ms	(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3))
6.0ms	(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3)))
4.0ms	(pow.f64 (exp.f64 re) 3)
3.0ms	(pow.f64 (sin.f64 im) 3)

series275.0ms (8%)

Counts

4 → 12

Calls

4 calls:

124.0ms	(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3))
70.0ms	(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3)))
44.0ms	(pow.f64 (sin.f64 im) 3)
37.0ms	(pow.f64 (exp.f64 re) 3)

simplify69.0ms (2%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5029	1663

prune112.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	130	3	133

Merged error: 0b

Counts

133 → 3

Compiler

Compiled 1837 to 1119 computations (39.1% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
0.5b	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 9)
4.0b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 9))
13.2b	(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 9)))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_1116`
12×	`add-sqr-sqrt_binary64_1109`
10×	`*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
9×	`pow1_binary64_1146`
7×	`add-exp-log_binary64_1123`
6×	`add-cbrt-cube_binary64_1121`
4×	`add-log-exp_binary64_1124`
3×	`unpow-prod-down_binary64_1164` `associate-r_binary64_1030` `sqr-pow_binary64_1060` `associate-l_binary64_1031` `pow-unpow_binary64_1162`
2×	`pow-exp_binary64_1153` `pow-pow_binary64_1157` `pow1/3_binary64_1167` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134`
1×	`*-commutative_binary64_1021` `unswap-sqr_binary64_1056` `cbrt-unprod_binary64_1118` `pow-to-exp_binary64_1154`

Counts

4 → 64

Calls

4 calls:

6.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
6.0ms	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 9)
3.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 9)))
2.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 9))

series449.0ms (13.1%)

Counts

4 → 12

Calls

4 calls:

201.0ms	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 9)
128.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 9))
63.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 9)))
57.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

simplify81.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4938	1140
1	4938	1140

prune59.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	76	3	79

Merged error: 0b

Counts

79 → 3

Compiler

Compiled 1025 to 542 computations (47.1% saved)

regimes46.0ms (1.4%)

Compiler: Compiled 142 to 150 computations (-5.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms (0%)

sample1.4s (40.1%)

Algorithm

1×

intervals

Results

410.0ms	1403×	body	1024	valid
281.0ms	5600×	body	128	valid
143.0ms	667×	body	1024	invalid
98.0ms	651×	body	512	valid
46.0ms	345×	body	512	invalid
39.0ms	804×	body	128	invalid
33.0ms	342×	body	256	valid
16.0ms	177×	body	256	invalid
2.0ms	4×	body	2048	valid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

Details

analyze130.0ms (3.8%)

sample47.0ms (1.4%)

simplify162.0ms (4.7%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite11.0ms (0.3%)

series66.0ms (1.9%)

simplify52.0ms (1.5%)

prune13.0ms (0.4%)

localize8.0ms (0.2%)

rewrite18.0ms (0.5%)

series248.0ms (7.3%)

simplify78.0ms (2.3%)

prune43.0ms (1.3%)

localize9.0ms (0.3%)

rewrite35.0ms (1%)

series275.0ms (8%)

simplify69.0ms (2%)

prune112.0ms (3.3%)

localize9.0ms (0.3%)

rewrite21.0ms (0.6%)

series449.0ms (13.1%)

simplify81.0ms (2.4%)

prune59.0ms (1.7%)

regimes46.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.4s (40.1%)

Profiling