Details

analyze268.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

sample18.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	18×	body	80	invalid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

prune3.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (*.f64 (-.f64 y x) z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

7.0ms	(*.f64 (-.f64 y x) z)
4.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

series17.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 (-.f64 y x) z)
9.0ms	(+.f64 x (*.f64 (-.f64 y x) z))

simplify41.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5046	303

prune49.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (sqrt.f64 (.f64 (-.f64 y x) z)) (sqrt.f64 (*.f64 (-.f64 y x) z))))
0.2b	(.f64 (sqrt.f64 (.f64 (-.f64 y x) z)) (sqrt.f64 (*.f64 (-.f64 y x) z)))
3.3b	(sqrt.f64 (*.f64 (-.f64 y x) z))
3.3b	(sqrt.f64 (*.f64 (-.f64 y x) z))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
22×	`pow-prod-down_binary64`
18×	`associate-*l/_binary64`
16×	`sqrt-div_binary64`
12×	`pow1/2_binary64`
10×	`pow-prod-up_binary64` `add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `flip3--_binary64` `add-cube-cbrt_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `pow-sqr_binary64` `sqrt-prod_binary64`
4×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`associate-*r/_binary64`
1×	`flip3-+_binary64` `cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

6.0ms	(+.f64 x (.f64 (sqrt.f64 (.f64 (-.f64 y x) z)) (sqrt.f64 (*.f64 (-.f64 y x) z))))
27.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 y x) z)) (sqrt.f64 (*.f64 (-.f64 y x) z)))
10.0ms	(sqrt.f64 (*.f64 (-.f64 y x) z))
10.0ms	(sqrt.f64 (*.f64 (-.f64 y x) z))

series194.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+.f64 x (.f64 (sqrt.f64 (.f64 (-.f64 y x) z)) (sqrt.f64 (*.f64 (-.f64 y x) z))))
21.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 y x) z)) (sqrt.f64 (*.f64 (-.f64 y x) z)))
64.0ms	(sqrt.f64 (*.f64 (-.f64 y x) z))
95.0ms	(sqrt.f64 (*.f64 (-.f64 y x) z))

simplify34.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5212	825

prune69.0ms

Filtered

64 candidates to 106 candidates (-65.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	106	5	111

Merged error: 0.0b

Counts

111 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.3b	(.f64 (.f64 (-.f64 y x) z) (*.f64 (-.f64 y x) z))
5.2b	(-.f64 (.f64 x x) (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) z)))
28.0b	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) z))) (-.f64 x (*.f64 (-.f64 y x) z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`add-sqr-sqrt_binary64`
18×	`pow-prod-down_binary64`
17×	`*-un-lft-identity_binary64`
16×	`associate-*l/_binary64`
15×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
10×	`flip3--_binary64` `flip--_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64` `difference-of-squares_binary64`
4×	`associate-r_binary64` `pow-prod-up_binary64` `associate-/l*_binary64` `pow-sqr_binary64` `frac-times_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `associate-r/_binary64` `associate-/r/_binary64` `pow-plus_binary64` `-commutative_binary64`
1×	`sub-neg_binary64` `swap-sqr_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `pow2_binary64`

Counts

4 → 112

Calls

4 calls:

7.0ms	(*.f64 (-.f64 y x) z)
13.0ms	(.f64 (.f64 (-.f64 y x) z) (*.f64 (-.f64 y x) z))
5.0ms	(-.f64 (.f64 x x) (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) z)))
8.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) z))) (-.f64 x (*.f64 (-.f64 y x) z)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(*.f64 (-.f64 y x) z)
12.0ms	(.f64 (.f64 (-.f64 y x) z) (*.f64 (-.f64 y x) z))
26.0ms	(-.f64 (.f64 x x) (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) z)))
68.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (-.f64 y x) z) (.f64 (-.f64 y x) z))) (-.f64 x (*.f64 (-.f64 y x) z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4995	1837
1	4995	1837

prune120.0ms

Filtered

78 candidates to 124 candidates (-59.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	124	5	129

Merged error: 0.0b

Counts

129 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (sqrt.f64 (-.f64 y x)) (.f64 z (sqrt.f64 (-.f64 y x)))))
0.1b	(*.f64 z (sqrt.f64 (-.f64 y x)))
0.2b	(.f64 (sqrt.f64 (-.f64 y x)) (.f64 z (sqrt.f64 (-.f64 y x))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
14×	`sqrt-div_binary64`
12×	`*-un-lft-identity_binary64`
11×	`associate-l_binary64` `sqrt-prod_binary64`
10×	`pow1_binary64` `associate-*r/_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64`
8×	`add-cube-cbrt_binary64`
7×	`flip3--_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 68

Calls

3 calls:

6.0ms	(+.f64 x (.f64 (sqrt.f64 (-.f64 y x)) (.f64 z (sqrt.f64 (-.f64 y x)))))
8.0ms	(*.f64 z (sqrt.f64 (-.f64 y x)))
12.0ms	(.f64 (sqrt.f64 (-.f64 y x)) (.f64 z (sqrt.f64 (-.f64 y x))))

series35.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+.f64 x (.f64 (sqrt.f64 (-.f64 y x)) (.f64 z (sqrt.f64 (-.f64 y x)))))
19.0ms	(*.f64 z (sqrt.f64 (-.f64 y x)))
8.0ms	(.f64 (sqrt.f64 (-.f64 y x)) (.f64 z (sqrt.f64 (-.f64 y x))))

simplify30.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5096	737

prune51.0ms

Filtered

52 candidates to 77 candidates (-48.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	76	6	82

Merged error: 0b

Counts

82 → 6

regimes203.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample367.0ms

Algorithm

intervals

Results

189.0ms	8000×	body	80	valid
13.0ms	570×	body	80	invalid

Details

analyze268.0ms

sample18.0ms

simplify14.0ms

prune3.0ms

localize5.0ms

rewrite12.0ms

series17.0ms

simplify41.0ms

prune49.0ms

localize14.0ms

rewrite60.0ms

series194.0ms

simplify34.0ms

prune69.0ms

localize9.0ms

rewrite36.0ms

series117.0ms

simplify50.0ms

prune120.0ms

localize8.0ms

rewrite28.0ms

series35.0ms

simplify30.0ms

prune51.0ms

regimes203.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample367.0ms

Profiling