Details

analyze329.0ms (5.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
0%	6.2%	93.8%	3
3.1%	3.1%	93.8%	4
3.1%	3.1%	93.8%	5
4.7%	1.6%	93.8%	6
4.7%	1.6%	93.8%	7
5.5%	0.8%	93.8%	8
5.5%	0.8%	93.8%	9
5.8%	0.4%	93.8%	10
5.8%	0.4%	93.8%	11
6%	0.2%	93.8%	12
6%	0.2%	93.8%	13
6.1%	0.1%	93.8%	14

Compiler

Compiled 28 to 26 computations (7.1% saved)

sample49.0ms (0.8%)

Algorithm

1×

intervals

Results

31.0ms	256×	body	128	valid
7.0ms	256×	pre	128	true

Compiler

Compiled 47 to 47 computations (0% saved)

simplify328.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (158.0ms)

Iter	Nodes	Cost
0	5643	26

prune16.0ms (0.3%)

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

Merged error: 0.4b

Counts

2 → 1

Compiler

Compiled 67 to 67 computations (0% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
0.3b	(.f64 (.f64 2 PI.f64) u2)
0.4b	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`
5×	`pow-prod-down_binary64`
4×	`cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`sqrt-pow1_binary64` `sqrt-prod_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `pow1/2_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 59

Calls

4 calls:

9.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
6.0ms	(.f64 (.f64 2 PI.f64) u2)
4.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
3.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))

series578.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

244.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
163.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
132.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
38.0ms	(.f64 (.f64 2 PI.f64) u2)

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5089	1090

prune321.0ms (5.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	63	8	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	8	72

Merged error: 0.0b

Counts

72 → 8

Compiler

Compiled 5139 to 4554 computations (11.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
0.3b	(.f64 (.f64 2 PI.f64) u2)
0.4b	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))
0.4b	(.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 2 PI.f64) u2)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))))

rewrite41.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`sqrt-prod_binary64`
27×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`associate-l_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow-prod-down_binary64`
10×	`cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
8×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
4×	`add-log-exp_binary64` `log-pow_binary64` `unswap-sqr_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `*-commutative_binary64`
2×	`neg-mul-1_binary64`
1×	`sqrt-unprod_binary64` `rem-sqrt-square_binary64`

Counts

4 → 100

Calls

4 calls:

13.0ms	(.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 2 PI.f64) u2)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))))
10.0ms	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))
6.0ms	(.f64 (.f64 2 PI.f64) u2)
3.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))

series581.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

248.0ms	(.f64 1/6 (.f64 (cos.f64 (.f64 (.f64 2 PI.f64) u2)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))))
163.0ms	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))
130.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
39.0ms	(.f64 (.f64 2 PI.f64) u2)

simplify65.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5532	1752

prune236.0ms (3.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	112	8	120

Merged error: 0.0b

Counts

120 → 8

Compiler

Compiled 4224 to 3262 computations (22.8% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
0.2b	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
0.3b	(.f64 (.f64 2 PI.f64) u2)
0.3b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))

rewrite38.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`pow1_binary64`
19×	`pow-prod-down_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`sqrt-pow1_binary64`
11×	`associate-l_binary64`
10×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
9×	`sqrt-prod_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`pow1/2_binary64`
4×	`add-log-exp_binary64`
3×	`sqrt-unprod_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`

Counts

4 → 81

Calls

4 calls:

12.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
8.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
3.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))

series568.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

211.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
193.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
124.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
39.0ms	(.f64 (.f64 2 PI.f64) u2)

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5052	1122

prune224.0ms (3.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	93	8	101

Merged error: 0b

Counts

101 → 8

Compiler

Compiled 3745 to 3211 computations (14.3% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/2 (.f64 (pow.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/2) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
0.1b	(pow.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/2)
0.3b	(.f64 (.f64 2 PI.f64) u2)
0.4b	(.f64 (.f64 -2 (log.f64 u1)) 1/36)

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`pow1_binary64` `add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `prod-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
3×	`pow-unpow_binary64` `pow-pow_binary64` `pow-exp_binary64`
2×	`associate-l_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `sqr-pow_binary64` `unpow1/2_binary64` `unpow-prod-down_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 67

Calls

4 calls:

6.0ms	(pow.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/2)
6.0ms	(.f64 (.f64 -2 (log.f64 u1)) 1/36)
5.0ms	(.f64 (.f64 2 PI.f64) u2)
4.0ms	(+.f64 1/2 (.f64 (pow.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/2) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))

series611.0ms (10.1%)

Counts

4 → 12

Calls

4 calls:

262.0ms	(pow.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/2)
210.0ms	(+.f64 1/2 (.f64 (pow.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/2) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
101.0ms	(.f64 (.f64 -2 (log.f64 u1)) 1/36)
38.0ms	(.f64 (.f64 2 PI.f64) u2)

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4869	1005
1	4869	1005

prune180.0ms (3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	81	6	87

Merged error: 0b

Counts

87 → 6

Compiler

Compiled 2845 to 2436 computations (14.4% saved)

regimes113.0ms (1.9%)

Compiler: Compiled 804 to 804 computations (0% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	24
1	19	24

end0.0ms (0%)

sample1.4s (23.8%)

Algorithm

1×

intervals

Results

864.0ms	8000×	body	128	valid
204.0ms	8000×	pre	128	true

Compiler

Compiled 154 to 152 computations (1.3% saved)

Details

analyze329.0ms (5.4%)

sample49.0ms (0.8%)

simplify328.0ms (5.4%)

prune16.0ms (0.3%)

localize15.0ms (0.2%)

rewrite27.0ms (0.4%)

series578.0ms (9.6%)

simplify73.0ms (1.2%)

prune321.0ms (5.3%)

localize15.0ms (0.2%)

rewrite41.0ms (0.7%)

series581.0ms (9.6%)

simplify65.0ms (1.1%)

prune236.0ms (3.9%)

localize15.0ms (0.3%)

rewrite38.0ms (0.6%)

series568.0ms (9.4%)

simplify72.0ms (1.2%)

prune224.0ms (3.7%)

localize16.0ms (0.3%)

rewrite29.0ms (0.5%)

series611.0ms (10.1%)

simplify61.0ms (1%)

prune180.0ms (3%)

regimes113.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (23.8%)

Profiling