Details

analyze1.5s

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

sample42.0ms

Algorithm

intervals

Results

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

simplify142.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (133.0ms)

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

localize16.0ms

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)

rewrite42.0ms

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:

9.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
13.0ms	(+.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)
7.0ms	(*.f64 (-.f64 t 1) a)

series269.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(-.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))
25.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
20.0ms	(*.f64 (-.f64 t 1) a)

simplify122.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4939	3748
1	4939	3748

prune141.0ms

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

localize22.0ms

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)

rewrite10.0ms

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:

5.0ms	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)

series349.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
83.0ms	(cbrt.f64 b)
86.0ms	(cbrt.f64 b)
82.0ms	(cbrt.f64 b)

simplify95.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4937	588
1	4937	588

prune86.0ms

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

localize20.0ms

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))

rewrite38.0ms

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:

13.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 t y) 2) b)) (cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b)))
7.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b))
8.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b))
7.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b))

series545.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 (+.f64 t y) 2) b)) (cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b)))
122.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b))
117.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b))
122.0ms	(cbrt.f64 (*.f64 (-.f64 (+.f64 t y) 2) b))

simplify110.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5016	1690

prune117.0ms

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

localize20.0ms

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))

rewrite49.0ms

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)
9.0ms	(*.f64 (+.f64 t y) (+.f64 t y))
13.0ms	(.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4))
18.0ms	(/.f64 (.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4)) (+.f64 (+.f64 y t) 2))

series205.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(*.f64 (-.f64 t 1) a)
14.0ms	(*.f64 (+.f64 t y) (+.f64 t y))
65.0ms	(.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4))
110.0ms	(/.f64 (.f64 b (-.f64 (.f64 (+.f64 t y) (+.f64 t y)) 4)) (+.f64 (+.f64 y t) 2))

simplify85.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4947	2100
1	4947	2100

prune123.0ms

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

regimes302.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	188	31
1	188	31

end0.0ms

sample1.2s

Algorithm

intervals

Results

453.0ms	7994×	body	80	valid
256.0ms	4527×	body	80	invalid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid

Details

analyze1.5s

sample42.0ms

simplify142.0ms

prune2.0ms

localize16.0ms

rewrite42.0ms

series269.0ms

simplify122.0ms

prune141.0ms

localize22.0ms

rewrite10.0ms

series349.0ms

simplify95.0ms

prune86.0ms

localize20.0ms

rewrite38.0ms

series545.0ms

simplify110.0ms

prune117.0ms

localize20.0ms

rewrite49.0ms

series205.0ms

simplify85.0ms

prune123.0ms

regimes302.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample1.2s

Profiling