Details

analyze1.1s (13.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

Compiler

Compiled 22 to 21 computations (4.5% saved)

sample78.0ms (1%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
21.0ms	299×	body	128	nan
2.0ms	25×	body	128	invalid

Compiler

Compiled 43 to 49 computations (-14% saved)

simplify218.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	1958	32
1	1958	32

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 42 to 40 computations (4.8% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
0.0b	(+.f64 (*.f64 x (log.f64 y)) z)
0.1b	(*.f64 (-.f64 b 1/2) (log.f64 c))
0.3b	(*.f64 x (log.f64 y))

rewrite40.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1109`
18×	`log-prod_binary64_1171` `*-un-lft-identity_binary64_1088`
14×	`add-cube-cbrt_binary64_1120`
11×	`add-log-exp_binary64_1124`
10×	`pow1_binary64_1146`
9×	`distribute-rgt-in_binary64_1040` `distribute-lft-in_binary64_1039`
8×	`associate-r_binary64_1030` `add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123` `associate-l_binary64_1031`
7×	`associate-+l+_binary64_1023`
4×	`sum-log_binary64_1176`
2×	`-commutative_binary64_1021` `unswap-sqr_binary64_1056` `log-pow_binary64_1174` `associate-l/_binary64_1033` `cbrt-unprod_binary64_1118` `+-commutative_binary64_1020` `flip-+_binary64_1062` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134` `flip3-+_binary64_1091`
1×	`flip3--_binary64_1092` `flip--_binary64_1063` `distribute-lft-out_binary64_1041` `distribute-lft-out--_binary64_1042` `difference-of-squares_binary64_1057`

Counts

4 → 85

Calls

4 calls:

11.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
9.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
6.0ms	(*.f64 x (log.f64 y))
6.0ms	(+.f64 (*.f64 x (log.f64 y)) z)

series279.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

79.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
76.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
73.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
52.0ms	(*.f64 x (log.f64 y))

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4984	1209
1	4984	1209

prune125.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	91	6	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	6	98

Merged error: 0.0b

Counts

98 → 6

Compiler

Compiled 2698 to 1022 computations (62.1% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite31.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64_1171`
18×	`add-sqr-sqrt_binary64_1109` `cbrt-prod_binary64_1116`
16×	`*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
12×	`distribute-rgt-in_binary64_1040` `associate-+r+_binary64_1022` `distribute-lft-in_binary64_1039`
7×	`pow1_binary64_1146`
6×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123` `add-log-exp_binary64_1124`
5×	`associate-r_binary64_1030`
3×	`associate-l_binary64_1031` `pow1/3_binary64_1167`
2×	`log-pow_binary64_1174`
1×	`*-commutative_binary64_1021` `unswap-sqr_binary64_1056` `cbrt-unprod_binary64_1118` `sum-log_binary64_1176` `+-commutative_binary64_1020` `flip-+_binary64_1062` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134` `flip3-+_binary64_1091` `distribute-lft-out_binary64_1041`

Counts

4 → 78

Calls

4 calls:

9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series585.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt.f64 y)
155.0ms	(cbrt.f64 y)
141.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
126.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))

simplify104.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4910	970
1	4910	970

prune137.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	90	6	96

Merged error: 0.0b

Counts

96 → 6

Compiler

Compiled 3122 to 1425 computations (54.4% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 x (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 y))))) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x))
0.4b	(*.f64 (log.f64 y) 2/3)
0.6b	(cbrt.f64 (sqrt.f64 y))
0.6b	(cbrt.f64 (sqrt.f64 y))

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1109` `cbrt-prod_binary64_1116`
10×	`*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
7×	`pow1_binary64_1146`
6×	`add-cbrt-cube_binary64_1121` `sqrt-prod_binary64_1103` `add-exp-log_binary64_1123` `add-log-exp_binary64_1124`
4×	`associate-l_binary64_1031`
3×	`associate-r_binary64_1030`
2×	`associate-+l+_binary64_1023` `pow1/3_binary64_1167`
1×	`*-commutative_binary64_1021` `unswap-sqr_binary64_1056` `log-pow_binary64_1174` `cbrt-unprod_binary64_1118` `distribute-rgt-in_binary64_1040` `sum-log_binary64_1176` `+-commutative_binary64_1020` `flip-+_binary64_1062` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134` `flip3-+_binary64_1091` `distribute-lft-in_binary64_1039`

Counts

4 → 60

Calls

4 calls:

13.0ms	(+.f64 (.f64 x (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 y))))) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x))
5.0ms	(*.f64 (log.f64 y) 2/3)
3.0ms	(cbrt.f64 (sqrt.f64 y))
2.0ms	(cbrt.f64 (sqrt.f64 y))

series521.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

188.0ms	(+.f64 (.f64 x (+.f64 (.f64 (log.f64 y) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 y))))) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x))
115.0ms	(cbrt.f64 (sqrt.f64 y))
113.0ms	(cbrt.f64 (sqrt.f64 y))
105.0ms	(*.f64 (log.f64 y) 2/3)

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4926	946
1	4926	946

prune119.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	72	6	78

Merged error: 0.0b

Counts

78 → 6

Compiler

Compiled 2920 to 1304 computations (55.3% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1116`
23×	`add-sqr-sqrt_binary64_1109`
15×	`*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
11×	`pow1_binary64_1146`
9×	`pow1/3_binary64_1167`
6×	`swap-sqr_binary64_1055` `associate-r_binary64_1030` `add-exp-log_binary64_1123` `associate-l_binary64_1031`
4×	`add-cbrt-cube_binary64_1121` `unswap-sqr_binary64_1056` `add-log-exp_binary64_1124`
2×	`pow-prod-down_binary64_1156` `pow-sqr_binary64_1061` `pow-prod-up_binary64_1155`
1×	`*-commutative_binary64_1021` `pow-plus_binary64_1148` `cbrt-unprod_binary64_1118` `pow2_binary64_1166` `prod-exp_binary64_1134`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
2.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series616.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

168.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
151.0ms	(cbrt.f64 x)
151.0ms	(cbrt.f64 x)
145.0ms	(cbrt.f64 x)

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune102.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

Compiler

Compiled 2604 to 970 computations (62.7% saved)

regimes612.0ms (7.6%)

Compiler: Compiled 7316 to 6314 computations (13.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	32
1	39	32

end0.0ms (0%)

sample3.1s (37.9%)

Algorithm

1×

intervals

Results

736.0ms	9903×	body	128	nan
711.0ms	7997×	body	128	valid
102.0ms	1177×	body	128	invalid
1.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 646 to 556 computations (13.9% saved)

Details

analyze1.1s (13.5%)

sample78.0ms (1%)

simplify218.0ms (2.7%)

prune3.0ms (0%)

localize19.0ms (0.2%)

rewrite40.0ms (0.5%)

series279.0ms (3.5%)

simplify67.0ms (0.8%)

prune125.0ms (1.5%)

localize25.0ms (0.3%)

rewrite31.0ms (0.4%)

series585.0ms (7.2%)

simplify104.0ms (1.3%)

prune137.0ms (1.7%)

localize28.0ms (0.3%)

rewrite30.0ms (0.4%)

series521.0ms (6.4%)

simplify72.0ms (0.9%)

prune119.0ms (1.5%)

localize23.0ms (0.3%)

rewrite19.0ms (0.2%)

series616.0ms (7.6%)

simplify68.0ms (0.8%)

prune102.0ms (1.3%)

regimes612.0ms (7.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.1s (37.9%)

Profiling