Details

analyze1.6s (12.9%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2088	133
1	2088	133
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14
41.9%	48.4%	9.7%	14

Compiler

Compiled 32 to 26 computations (18.8% saved)

sample894.0ms (7.2%)

Algorithm

2×

intervals

Results

18.0ms	493×	body	128	valid
9.0ms	183×	body	128	invalid
1.0ms	7×	body	1024	valid
1.0ms	5×	body	512	valid
0.0ms	7×	body	256	valid

Compiler

Compiled 5439 to 5775 computations (-6.2% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	400	19
1	400	19

prune4.0ms (0%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 (+.f64 y z) 2) t)
0.0b	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
0.0b	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

rewrite87.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-log-exp_binary64_4891` `add-sqr-sqrt_binary64_4874`
5×	`pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
3×	`flip3-+_binary64_4855` `flip-+_binary64_4826` `associate-l_binary64_4793` `associate-r_binary64_4792`
2×	`distribute-rgt-in_binary64_4802` `distribute-lft-in_binary64_4801` `associate-*r/_binary64_4794` `sum-log_binary64_4943` `associate-+l+_binary64_4785` `+-commutative_binary64_4782`
1×	`pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `unswap-sqr_binary64_4820` `*-commutative_binary64_4783`

Counts

3 → 46

Calls

3 calls:

10.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
9.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))
6.0ms	(+.f64 (*.f64 (+.f64 y z) 2) t)

Compiler

Compiled 1060 to 600 computations (43.4% saved)

series1.1s (8.7%)

Error

0.1b

Counts

3 → 63

Calls

3 calls:

509.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
321.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))
189.0ms	(+.f64 (*.f64 (+.f64 y z) 2) t)

Compiler

Compiled 2261 to 1761 computations (22.1% saved)

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5107	1568

prune118.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	103	6	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	7	110

Error

0.0b

Counts

110 → 7

Compiler

Compiled 1784 to 1028 computations (42.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x)) (cbrt.f64 (.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x)))
2.5b	(cbrt.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x))
2.5b	(cbrt.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x))
2.5b	(cbrt.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x))

rewrite180.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`associate-*l/_binary64_4795`
18×	`cbrt-div_binary64_4884`
11×	`pow1_binary64_4913`
10×	`add-sqr-sqrt_binary64_4874`
9×	`pow1/3_binary64_4934` `flip3-+_binary64_4855` `flip-+_binary64_4826`
8×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
7×	`cbrt-prod_binary64_4883`
6×	`add-exp-log_binary64_4890`
4×	`add-log-exp_binary64_4891` `add-cbrt-cube_binary64_4888` `frac-times_binary64_4862` `swap-sqr_binary64_4819` `associate-l_binary64_4793` `associate-r_binary64_4792`
2×	`pow-prod-down_binary64_4923` `pow-prod-up_binary64_4922` `pow-sqr_binary64_4825` `associate-*r/_binary64_4794`
1×	`pow2_binary64_4933` `pow-plus_binary64_4915` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `unswap-sqr_binary64_4820` `*-commutative_binary64_4783`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x)) (cbrt.f64 (.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x)))
4.0ms	(cbrt.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x))
4.0ms	(cbrt.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x))
4.0ms	(cbrt.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x))

Compiler

Compiled 3491 to 1976 computations (43.4% saved)

series3.7s (30.2%)

Error

0.0b

Counts

4 → 89

Calls

4 calls:

1.1s	(.f64 (cbrt.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x)) (cbrt.f64 (.f64 (+.f64 t (*.f64 2 (+.f64 z y))) x)))
788.0ms	(cbrt.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x))
784.0ms	(cbrt.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x))
754.0ms	(cbrt.f64 (.f64 (+.f64 t (.f64 2 (+.f64 z y))) x))

Compiler

Compiled 15319 to 11745 computations (23.3% saved)

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5216	6298

prune498.0ms (4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	161	7	168

Error

0.0b

Counts

168 → 7

Compiler

Compiled 8084 to 4892 computations (39.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 y (+.f64 5 (.f64 2 x)))
0.0b	(+.f64 (.f64 t x) (.f64 y (+.f64 5 (*.f64 2 x))))

rewrite54.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_4874`
4×	`add-log-exp_binary64_4891` `pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
3×	`associate-l_binary64_4793` `associate-r_binary64_4792`
2×	`flip3-+_binary64_4855` `flip-+_binary64_4826` `distribute-rgt-in_binary64_4802` `associate-+r+_binary64_4784` `distribute-lft-in_binary64_4801` `associate-*r/_binary64_4794`
1×	`sum-log_binary64_4943` `+-commutative_binary64_4782` `pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `unswap-sqr_binary64_4820` `*-commutative_binary64_4783`

Counts

2 → 35

Calls

2 calls:

5.0ms	(.f64 y (+.f64 5 (.f64 2 x)))
4.0ms	(+.f64 (.f64 t x) (.f64 y (+.f64 5 (*.f64 2 x))))

Compiler

Compiled 694 to 437 computations (37% saved)

series405.0ms (3.3%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

285.0ms	(+.f64 (.f64 t x) (.f64 y (+.f64 5 (*.f64 2 x))))
102.0ms	(.f64 y (+.f64 5 (.f64 2 x)))

Compiler

Compiled 715 to 575 computations (19.6% saved)

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4909	865
1	4909	865

prune68.0ms (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	62	7	69

Error

Counts

69 → 7

Compiler

Compiled 991 to 637 computations (35.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 5 (*.f64 2 x)))
0.0b	(+.f64 (.f64 t x) (.f64 (.f64 y (sqrt.f64 (+.f64 5 (.f64 2 x)))) (sqrt.f64 (+.f64 5 (*.f64 2 x)))))
0.3b	(.f64 y (sqrt.f64 (+.f64 5 (.f64 2 x))))
0.3b	(.f64 (.f64 y (sqrt.f64 (+.f64 5 (.f64 2 x)))) (sqrt.f64 (+.f64 5 (.f64 2 x))))

rewrite179.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`sqrt-div_binary64_4869`
15×	`add-sqr-sqrt_binary64_4874`
12×	`pow1_binary64_4913` `associate-r_binary64_4792`
11×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
10×	`add-cube-cbrt_binary64_4887` `associate-r/_binary64_4794` `-un-lft-identity_binary64_4852` `sqrt-prod_binary64_4868`
9×	`flip3-+_binary64_4855` `flip-+_binary64_4826`
6×	`add-log-exp_binary64_4891`
4×	`pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `frac-times_binary64_4862` `associate-l_binary64_4793`
2×	`associate-l/_binary64_4795` `-commutative_binary64_4783` `unswap-sqr_binary64_4820`
1×	`sum-log_binary64_4943` `+-commutative_binary64_4782` `pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `rem-sqrt-square_binary64_4865`

Counts

4 → 79

Calls

4 calls:

11.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 5 (.f64 2 x)))) (sqrt.f64 (+.f64 5 (.f64 2 x))))
7.0ms	(.f64 y (sqrt.f64 (+.f64 5 (.f64 2 x))))
4.0ms	(+.f64 (.f64 t x) (.f64 (.f64 y (sqrt.f64 (+.f64 5 (.f64 2 x)))) (sqrt.f64 (+.f64 5 (*.f64 2 x)))))
3.0ms	(sqrt.f64 (+.f64 5 (*.f64 2 x)))

Compiler

Compiled 2497 to 1849 computations (26% saved)

series592.0ms (4.8%)

Error

Counts

4 → 42

Calls

4 calls:

275.0ms	(+.f64 (.f64 t x) (.f64 (.f64 y (sqrt.f64 (+.f64 5 (.f64 2 x)))) (sqrt.f64 (+.f64 5 (*.f64 2 x)))))
130.0ms	(.f64 y (sqrt.f64 (+.f64 5 (.f64 2 x))))
118.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 5 (.f64 2 x)))) (sqrt.f64 (+.f64 5 (.f64 2 x))))
35.0ms	(sqrt.f64 (+.f64 5 (*.f64 2 x)))

Compiler

Compiled 1566 to 1277 computations (18.5% saved)

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5012	1926

prune146.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	121	7	128

Error

Counts

128 → 7

Compiler

Compiled 2466 to 1694 computations (31.3% saved)

regimes566.0ms (4.6%)

Accuracy

Total 0.1b remaining (94.7%)

Threshold costs 0.1b (94.7%)

Compiler

Compiled 5618 to 4816 computations (14.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	22
1	21	22

end0.0ms (0%)

sample1.8s (14.6%)

Algorithm

1×

intervals

Results

303.0ms	7744×	body	128	valid
112.0ms	2850×	body	128	invalid
16.0ms	118×	body	1024	valid
14.0ms	98×	body	512	valid
3.0ms	40×	body	256	valid

Compiler

Compiled 1147 to 982 computations (14.4% saved)

Details

analyze1.6s (12.9%)

sample894.0ms (7.2%)

simplify16.0ms (0.1%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite87.0ms (0.7%)

series1.1s (8.7%)

simplify63.0ms (0.5%)

prune118.0ms (1%)

localize14.0ms (0.1%)

rewrite180.0ms (1.5%)

series3.7s (30.2%)

simplify82.0ms (0.7%)

prune498.0ms (4%)

localize7.0ms (0.1%)

rewrite54.0ms (0.4%)

series405.0ms (3.3%)

simplify70.0ms (0.6%)

prune68.0ms (0.5%)

localize10.0ms (0.1%)

rewrite179.0ms (1.4%)

series592.0ms (4.8%)

simplify71.0ms (0.6%)

prune146.0ms (1.2%)

regimes566.0ms (4.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (14.6%)

Profiling