Details

analyze575.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

sample23.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	47×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

prune2.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

simplify92.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4962	208
1	4962	208

prune16.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0b

Counts

15 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.3b	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
1.0b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.0b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`swap-sqr_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 z t))
12.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
4.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+.f64 (.f64 x y) (.f64 z t))
38.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
71.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
70.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify62.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5203	1971

prune52.0ms

Filtered

65 candidates to 110 candidates (-69.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	110	4	114

Merged error: 0b

Counts

114 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.3b	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
35.8b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cube-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `+-commutative_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

3 → 59

Calls

3 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 z t))
5.0ms	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))

series216.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+.f64 (.f64 x y) (.f64 z t))
134.0ms	(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3)
41.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 3))

simplify58.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4977	1190
1	4977	1190

prune28.0ms

Filtered

38 candidates to 68 candidates (-78.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	68	4	72

Merged error: 0b

Counts

72 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.8b	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
1.4b	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
5.0b	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
37.6b	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `sub-neg_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`distribute-lft-out_binary64` `sum-cubes_binary64` `associate-/l*_binary64`
4×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64` `associate-+r+_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `cbrt-unprod_binary64` `associate-l*_binary64` `prod-exp_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `+-commutative_binary64` `sum-log_binary64`
1×	`flip3--_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

9.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
8.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
8.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
17.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))

series536.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
185.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
71.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
172.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))

simplify97.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5826	4052

prune99.0ms

Filtered

73 candidates to 103 candidates (-41.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	103	4	107

Merged error: 0b

Counts

107 → 4

regimes79.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms

sample481.0ms

Algorithm

intervals

Results

212.0ms	8000×	body	80	valid
38.0ms	1426×	body	80	invalid

Details

analyze575.0ms

sample23.0ms

simplify12.0ms

prune2.0ms

localize6.0ms

rewrite5.0ms

series39.0ms

simplify92.0ms

prune16.0ms

localize8.0ms

rewrite27.0ms

series215.0ms

simplify62.0ms

prune52.0ms

localize8.0ms

rewrite15.0ms

series216.0ms

simplify58.0ms

prune28.0ms

localize18.0ms

rewrite45.0ms

series536.0ms

simplify97.0ms

prune99.0ms

regimes79.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample481.0ms

Profiling