Details

analyze317.0ms (3.4%)

Algorithm

1×

Search

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

Compiler

Compiled 28 to 26 computations (7.1% saved)

sample61.0ms (0.7%)

Algorithm

1×

intervals

Results

30.0ms	256×	body	128	valid
9.0ms	256×	pre	128	true

Compiler

Compiled 47 to 47 computations (0% saved)

simplify335.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (203.0ms)

Iter	Nodes	Cost
0	5644	26

prune7.0ms (0.1%)

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

Error

0.4b

Counts

2 → 1

Compiler

Compiled 32 to 32 computations (0% saved)

localize16.0ms (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)))
0.2b	(.f64 (.f64 2 PI.f64) u2)
0.4b	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

rewrite153.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 59

Calls

4 calls:

14.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
10.0ms	(.f64 (.f64 2 PI.f64) u2)
7.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
5.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))

Compiler

Compiled 1408 to 1076 computations (23.6% saved)

series691.0ms (7.3%)

Error

0.2b

Counts

4 → 18

Calls

4 calls:

373.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
142.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
92.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
37.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 1008 to 906 computations (10.1% saved)

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5116	1290

prune136.0ms (1.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	67	10	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	10	78

Error

0.0b

Counts

78 → 10

Compiler

Compiled 1828 to 1395 computations (23.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite205.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

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×	`add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
9×	`sqrt-prod_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_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:

11.0ms	(.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)))

Compiler

Compiled 2102 to 1702 computations (19% saved)

series366.0ms (3.9%)

Error

Counts

4 → 12

Calls

4 calls:

145.0ms	(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
97.0ms	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
80.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
26.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 783 to 743 computations (5.1% saved)

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5026	1122

prune156.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	97	6	103

Error

Counts

103 → 6

Compiler

Compiled 2218 to 1784 computations (19.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
0.1b	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
0.2b	(.f64 (.f64 2 PI.f64) u2)
0.3b	(.f64 (.f64 -2 (log.f64 u1)) 1/36)

rewrite123.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 59

Calls

4 calls:

9.0ms	(.f64 (.f64 2 PI.f64) u2)
7.0ms	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
6.0ms	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
6.0ms	(.f64 (.f64 -2 (log.f64 u1)) 1/36)

Compiler

Compiled 1397 to 1070 computations (23.4% saved)

series528.0ms (5.6%)

Error

Counts

4 → 18

Calls

4 calls:

287.0ms	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
91.0ms	(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
85.0ms	(.f64 (.f64 -2 (log.f64 u1)) 1/36)
35.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 923 to 821 computations (11.1% saved)

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4887	1115
1	4887	1115

prune102.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	77	6	83

Error

Counts

83 → 6

Compiler

Compiled 1570 to 1163 computations (25.9% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/2 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 (.f64 2 PI.f64) u2))))
0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
0.2b	(.f64 (.f64 2 PI.f64) u2)
0.3b	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))

rewrite157.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`sqrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`pow1_binary64`
16×	`associate-l_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64`
8×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
6×	`pow-prod-down_binary64` `add-log-exp_binary64`
4×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `log-pow_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64`
2×	`neg-mul-1_binary64` `*-commutative_binary64`
1×	`sqrt-unprod_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 90

Calls

4 calls:

9.0ms	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
4.0ms	(+.f64 1/2 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 (.f64 2 PI.f64) u2))))
2.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))

Compiler

Compiled 2084 to 1303 computations (37.5% saved)

series631.0ms (6.7%)

Error

Counts

4 → 18

Calls

4 calls:

364.0ms	(+.f64 1/2 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 (.f64 2 PI.f64) u2))))
121.0ms	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
83.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
43.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 1005 to 857 computations (14.7% saved)

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4971	1796
1	4971	1796

prune127.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	108	6	114

Error

Counts

114 → 6

Compiler

Compiled 2267 to 1425 computations (37.1% saved)

regimes1.5s (16.3%)

Accuracy

Total 0.2b remaining (99.6%)

Threshold costs 0.2b (99.6%)

Compiler

Compiled 14062 to 13547 computations (3.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	23
1	20	23

end0.0ms (0%)

sample3.4s (36.3%)

Algorithm

1×

intervals

Results

991.0ms	8000×	body	128	valid
265.0ms	8000×	pre	128	true

Compiler

Compiled 1341 to 1292 computations (3.7% saved)

Details

analyze317.0ms (3.4%)

sample61.0ms (0.7%)

simplify335.0ms (3.6%)

prune7.0ms (0.1%)

localize16.0ms (0.2%)

rewrite153.0ms (1.6%)

series691.0ms (7.3%)

simplify68.0ms (0.7%)

prune136.0ms (1.4%)

localize20.0ms (0.2%)

rewrite205.0ms (2.2%)

series366.0ms (3.9%)

simplify78.0ms (0.8%)

prune156.0ms (1.7%)

localize13.0ms (0.1%)

rewrite123.0ms (1.3%)

series528.0ms (5.6%)

simplify66.0ms (0.7%)

prune102.0ms (1.1%)

localize23.0ms (0.2%)

rewrite157.0ms (1.7%)

series631.0ms (6.7%)

simplify79.0ms (0.8%)

prune127.0ms (1.3%)

regimes1.5s (16.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.4s (36.3%)

Profiling