Details

analyze40.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
68.7%	31.2%	0.1%	6
68.7%	18.7%	12.6%	7
71.8%	15.6%	12.6%	8
71.8%	9.4%	18.8%	9
73.4%	7.8%	18.8%	10
73.4%	4.7%	22%	11
74.1%	3.9%	22%	12
74.1%	2.3%	23.5%	13
74.5%	2%	23.5%	14

sample20.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
4.0ms	161×	body	80	invalid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5100	6

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

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (*.f64 y y))
0.0b	(.f64 x (exp.f64 (.f64 y y)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `rem-exp-log_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `exp-to-pow_binary64` `exp-prod_binary64` `*-commutative_binary64`

Counts

2 → 28

Calls

2 calls:

2.0ms	(exp.f64 (*.f64 y y))
5.0ms	(.f64 x (exp.f64 (.f64 y y)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(exp.f64 (*.f64 y y))
8.0ms	(.f64 x (exp.f64 (.f64 y y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4947	208
1	4947	208

prune38.0ms

Filtered

22 candidates to 34 candidates (-54.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	30	4	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	4	35

Merged error: 0.0b

Counts

35 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow.f64 (exp.f64 y) y)
0.0b	(*.f64 x (pow.f64 (exp.f64 y) y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64` `unpow-prod-down_binary64`
6×	`add-exp-log_binary64`
4×	`pow-pow_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `pow1_binary64` `sqr-pow_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `exp-prod_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow-exp_binary64`
1×	`cbrt-unprod_binary64` `*-commutative_binary64`

Counts

2 → 45

Calls

2 calls:

3.0ms	(pow.f64 (exp.f64 y) y)
6.0ms	(*.f64 x (pow.f64 (exp.f64 y) y))

series17.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(pow.f64 (exp.f64 y) y)
12.0ms	(*.f64 x (pow.f64 (exp.f64 y) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4956	340
1	4956	340

prune40.0ms

Filtered

31 candidates to 51 candidates (-64.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	51	4	55

Merged error: 0.0b

Counts

55 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (*.f64 y y))
0.0b	(cbrt.f64 (pow.f64 (exp.f64 (*.f64 y y)) 3))
0.0b	(.f64 x (cbrt.f64 (pow.f64 (exp.f64 (.f64 y y)) 3)))
0.0b	(pow.f64 (exp.f64 (*.f64 y y)) 3)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod_binary64`
24×	`add-sqr-sqrt_binary64`
15×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
10×	`unpow-prod-down_binary64` `cube-prod_binary64`
7×	`add-log-exp_binary64` `pow1_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`unswap-sqr_binary64`
4×	`sqr-pow_binary64`
3×	`pow-unpow_binary64` `pow-pow_binary64` `associate-l_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`exp-to-pow_binary64` `exp-prod_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `rem-cbrt-cube_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `rem-exp-log_binary64` `rem-cube-cbrt_binary64` `prod-exp_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 90

Calls

4 calls:

2.0ms	(exp.f64 (*.f64 y y))
3.0ms	(cbrt.f64 (pow.f64 (exp.f64 (*.f64 y y)) 3))
8.0ms	(.f64 x (cbrt.f64 (pow.f64 (exp.f64 (.f64 y y)) 3)))
4.0ms	(pow.f64 (exp.f64 (*.f64 y y)) 3)

series23.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(exp.f64 (*.f64 y y))
2.0ms	(cbrt.f64 (pow.f64 (exp.f64 (*.f64 y y)) 3))
10.0ms	(.f64 x (cbrt.f64 (pow.f64 (exp.f64 (.f64 y y)) 3)))
8.0ms	(pow.f64 (exp.f64 (*.f64 y y)) 3)

simplify69.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5057	722

prune105.0ms

Filtered

58 candidates to 102 candidates (-75.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	102	4	106

Merged error: 0b

Counts

106 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (sqrt.f64 (exp.f64 (.f64 y y))) x) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 y y)) 3))))
0.0b	(cbrt.f64 (pow.f64 (exp.f64 (*.f64 y y)) 3))
0.0b	(.f64 (sqrt.f64 (exp.f64 (.f64 y y))) x)
0.0b	(pow.f64 (exp.f64 (*.f64 y y)) 3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
22×	`add-sqr-sqrt_binary64`
21×	`associate-r_binary64`
19×	`sqrt-prod_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow1_binary64` `add-cbrt-cube_binary64`
11×	`add-exp-log_binary64`
9×	`unpow-prod-down_binary64` `cube-prod_binary64`
7×	`associate-l_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-unpow_binary64` `pow-pow_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`unswap-sqr_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `rem-cube-cbrt_binary64` `exp-to-pow_binary64` `pow-exp_binary64` `exp-prod_binary64`

Counts

4 → 101

Calls

4 calls:

12.0ms	(.f64 (.f64 (sqrt.f64 (exp.f64 (.f64 y y))) x) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 y y)) 3))))
3.0ms	(cbrt.f64 (pow.f64 (exp.f64 (*.f64 y y)) 3))
6.0ms	(.f64 (sqrt.f64 (exp.f64 (.f64 y y))) x)
4.0ms	(pow.f64 (exp.f64 (*.f64 y y)) 3)

series36.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(.f64 (.f64 (sqrt.f64 (exp.f64 (.f64 y y))) x) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 y y)) 3))))
2.0ms	(cbrt.f64 (pow.f64 (exp.f64 (*.f64 y y)) 3))
16.0ms	(.f64 (sqrt.f64 (exp.f64 (.f64 y y))) x)
9.0ms	(pow.f64 (exp.f64 (*.f64 y y)) 3)

simplify63.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4932	947
1	4932	947

prune69.0ms

Filtered

63 candidates to 113 candidates (-79.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Merged error: 0b

Counts

117 → 4

regimes221.0ms

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	6	6
1	6	6

end0.0ms

sample499.0ms

Algorithm

intervals

Results

199.0ms	8000×	body	80	valid
101.0ms	4125×	body	80	invalid

Details

analyze40.0ms

sample20.0ms

simplify66.0ms

prune3.0ms

localize4.0ms

rewrite7.0ms

series10.0ms

simplify59.0ms

prune38.0ms

localize5.0ms

rewrite10.0ms

series17.0ms

simplify65.0ms

prune40.0ms

localize7.0ms

rewrite18.0ms

series23.0ms

simplify69.0ms

prune105.0ms

localize10.0ms

rewrite27.0ms

series36.0ms

simplify63.0ms

prune69.0ms

regimes221.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample499.0ms

Profiling