Details

analyze1.7s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.7%	98%	0.3%	13
2.5%	97.2%	0.3%	14

sample39.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
8.0ms	144×	body	80	invalid

simplify146.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	5234	31

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
0.0b	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)
0.0b	(*.f64 (-.f64 t 1) a)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*l/_binary64`
23×	`flip3--_binary64` `flip--_binary64`
18×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
13×	`associate-l_binary64`
12×	`frac-add_binary64` `frac-sub_binary64`
8×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`diff-log_binary64` `associate-r_binary64`
4×	`sub-neg_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `sum-log_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate--l+_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `difference-of-sqr-1_binary64` `associate-+l-_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

4 → 93

Calls

4 calls:

8.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
16.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
9.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
10.0ms	(*.f64 (-.f64 t 1) a)

series266.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
149.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
23.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
20.0ms	(*.f64 (-.f64 t 1) a)

simplify296.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4939	3748
1	4939	3748

prune218.0ms

Filtered

81 candidates to 105 candidates (-29.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	4	106

Merged error: 0.0b

Counts

106 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
0.6b	(cbrt.f64 b)
0.6b	(cbrt.f64 b)
0.6b	(cbrt.f64 b)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)

series456.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
91.0ms	(cbrt.f64 b)
129.0ms	(cbrt.f64 b)
135.0ms	(cbrt.f64 b)

simplify104.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4937	588
1	4937	588

prune118.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 t y) 2) b)) (cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b)))
0.6b	(cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b))
0.6b	(cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b))
0.6b	(cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-*r/_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

26.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 t y) 2) b)) (cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b)))
15.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b))
15.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b))
15.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b))

series674.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 t y) 2) b)) (cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b)))
144.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b))
138.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b))
157.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b))

simplify166.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	5016	1690

prune116.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 t 1) a)
0.0b	(*.f64 (+.f64 t y) (+.f64 t y))
6.4b	(.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4))
12.1b	(/.f64 (.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4)) (+.f64 (+.f64 y t) 2))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity_binary64`
25×	`add-sqr-sqrt_binary64`
15×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-cube-cbrt_binary64` `associate-l_binary64`
12×	`distribute-lft-out_binary64`
11×	`associate-r_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`associate-/r*_binary64` `times-frac_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64` `associate--l+_binary64` `associate-*l/_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64`
1×	`pow-prod-up_binary64` `difference-of-sqr-1_binary64` `pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

4 → 120

Calls

4 calls:

7.0ms	(*.f64 (-.f64 t 1) a)
11.0ms	(*.f64 (+.f64 t y) (+.f64 t y))
13.0ms	(.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4))
19.0ms	(/.f64 (.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4)) (+.f64 (+.f64 y t) 2))

series199.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (-.f64 t 1) a)
15.0ms	(*.f64 (+.f64 t y) (+.f64 t y))
63.0ms	(.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4))
102.0ms	(/.f64 (.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4)) (+.f64 (+.f64 y t) 2))

simplify89.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4947	2100
1	4947	2100

prune125.0ms

Filtered

83 candidates to 132 candidates (-59.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	132	4	136

Merged error: 0.0b

Counts

136 → 4

regimes98.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify10.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	188	31
1	188	31

end0.0ms

sample1.6s

Algorithm

intervals

Results

761.0ms	7994×	body	80	valid
287.0ms	4527×	body	80	invalid
1.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid

Details

analyze1.7s

sample39.0ms

simplify146.0ms

prune2.0ms

localize15.0ms

rewrite47.0ms

series266.0ms

simplify296.0ms

prune218.0ms

localize18.0ms

rewrite11.0ms

series456.0ms

simplify104.0ms

prune118.0ms

localize37.0ms

rewrite76.0ms

series674.0ms

simplify166.0ms

prune116.0ms

localize19.0ms

rewrite54.0ms

series199.0ms

simplify89.0ms

prune125.0ms

regimes98.0ms

bsearch0.0ms

simplify10.0ms

end0.0ms

sample1.6s

Profiling