Details

analyze532.0ms (7.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4873	52
1	4873	52
0	2	2
1	2	2

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

Symmetry

Compiler

Compiled 28 to 26 computations (7.1% saved)

sample55.0ms (0.7%)

Algorithm

1×

intervals

Results

32.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 47 to 47 computations (0% saved)

simplify171.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (165.0ms)

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)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.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))))

rewrite112.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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:

8.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
3.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
2.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))

Compiler

Compiled 1408 to 1076 computations (23.6% saved)

series516.0ms (6.9%)

Error

0.2b

Counts

4 → 18

Calls

4 calls:

274.0ms	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
108.0ms	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
82.0ms	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
28.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 1008 to 906 computations (10.1% saved)

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5116	1290

prune114.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	68	9	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	9	78

Error

Counts

78 → 9

Compiler

Compiled 1795 to 1369 computations (23.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
0.2b	(.f64 (.f64 2 PI.f64) u2)
0.4b	(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)))
0.5b	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))

rewrite156.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`sqrt-prod_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`pow1_binary64`
19×	`associate-l_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`associate-r_binary64`
9×	`pow-prod-down_binary64`
8×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `log-pow_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 → 97

Calls

4 calls:

9.0ms	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))
8.0ms	(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
2.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))

Compiler

Compiled 2329 to 1527 computations (34.4% saved)

series311.0ms (4.2%)

Error

Counts

4 → 12

Calls

4 calls:

108.0ms	(.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)))
87.0ms	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))
72.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
30.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 693 to 643 computations (7.2% saved)

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4949	1396
1	4949	1396

prune142.0ms (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	109	9	118

Error

Counts

118 → 9

Compiler

Compiled 2587 to 1763 computations (31.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
0.2b	(.f64 (.f64 2 PI.f64) u2)
0.4b	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)
0.4b	(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6) (sqrt.f64 2))

rewrite145.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 92

Calls

4 calls:

10.0ms	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)
8.0ms	(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6) (sqrt.f64 2))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
2.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))

Compiler

Compiled 2205 to 1442 computations (34.6% saved)

series297.0ms (4%)

Error

Counts

4 → 12

Calls

4 calls:

102.0ms	(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6) (sqrt.f64 2))
85.0ms	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)
66.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
30.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 693 to 643 computations (7.2% saved)

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5198	1249

prune129.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	2	5	7
Picked	0	1	1
Done	1	0	1
Total	106	7	113

Error

Counts

113 → 7

Compiler

Compiled 2418 to 1634 computations (32.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 1/2 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2))) (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))) (.f64 1/6 (sqrt.f64 2)))

rewrite139.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 81

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
5.0ms	(.f64 (.f64 2 PI.f64) u2)
4.0ms	(+.f64 1/2 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
2.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))

Compiler

Compiled 2082 to 1365 computations (34.4% saved)

series561.0ms (7.5%)

Error

Counts

4 → 18

Calls

4 calls:

327.0ms	(+.f64 1/2 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2))) (cos.f64 (.f64 (*.f64 2 PI.f64) u2))))
111.0ms	(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
71.0ms	(sqrt.f64 (neg.f64 (log.f64 u1)))
29.0ms	(.f64 (.f64 2 PI.f64) u2)

Compiler

Compiled 1105 to 957 computations (13.4% saved)

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4910	1798
1	4910	1798

prune120.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	99	7	106

Error

Counts

106 → 7

Compiler

Compiled 2280 to 1502 computations (34.1% saved)

regimes1.1s (14.5%)

Accuracy

Total 0.3b remaining (99.2%)

Threshold costs 0.3b (99.2%)

Compiler

Compiled 12077 to 11387 computations (5.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	30
1	31	30

Removed

()

end0.0ms (0%)

sample2.6s (34.2%)

Algorithm

1×

intervals

Results

800.0ms	8000×	body	128	valid
190.0ms	8000×	pre	128	true

Compiler

Compiled 1171 to 1104 computations (5.7% saved)

Details

analyze532.0ms (7.1%)

sample55.0ms (0.7%)

simplify171.0ms (2.3%)

prune7.0ms (0.1%)

localize14.0ms (0.2%)

rewrite112.0ms (1.5%)

series516.0ms (6.9%)

simplify74.0ms (1%)

prune114.0ms (1.5%)

localize14.0ms (0.2%)

rewrite156.0ms (2.1%)

series311.0ms (4.2%)

simplify51.0ms (0.7%)

prune142.0ms (1.9%)

localize14.0ms (0.2%)

rewrite145.0ms (1.9%)

series297.0ms (4%)

simplify66.0ms (0.9%)

prune129.0ms (1.7%)

localize14.0ms (0.2%)

rewrite139.0ms (1.9%)

series561.0ms (7.5%)

simplify73.0ms (1%)

prune120.0ms (1.6%)

regimes1.1s (14.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.6s (34.2%)

Profiling