Details

sample38.0ms

Algorithm

intervals

Results

17.0ms

391×

body

valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (41.0ms)

Iter	Nodes	Cost
0	38	10
1	118	9
2	428	9
3	1763	9
4	5002	8

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
0.0b	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
0.0b	(fma b (- (+ y t) 2.0) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `associate-r` `prod-diff` `fma-udef`
2×	`flip3--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

10.0ms	(* (- t 1.0) a)
3.0ms	(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
1.0ms	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
1.0ms	(fma b (- (+ y t) 2.0) x)

series315.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- t 1.0) a)
77.0ms	(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
163.0ms	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
46.0ms	(fma b (- (+ y t) 2.0) x)

simplify100.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	260	488
1	831	429
2	4460	414
3	5001	413

prune253.0ms

Filtered

77 candidates to 62 candidates (80.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Merged error: 0.0b

Counts

78 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- t 1.0))
0.2b	(cbrt (- t 1.0))
0.2b	(cbrt (- t 1.0))
0.2b	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

3.0ms	(cbrt (- t 1.0))
6.0ms	(cbrt (- t 1.0))
3.0ms	(cbrt (- t 1.0))
11.0ms	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))

series430.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt (- t 1.0))
97.0ms	(cbrt (- t 1.0))
99.0ms	(cbrt (- t 1.0))
128.0ms	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	384	861
1	1312	823
2	5002	757

prune481.0ms

Filtered

121 candidates to 89 candidates (73.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	121	3	124

Merged error: 0.0b

Counts

124 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
0.0b	(fma b (- (+ y t) 2.0) x)
0.1b	(pow (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))) 3)
50.4b	(cbrt (pow (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))) 3))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `unpow3` `fma-udef` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 68

Calls

4 calls:

1.0ms	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
1.0ms	(fma b (- (+ y t) 2.0) x)
2.0ms	(pow (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))) 3)
2.0ms	(cbrt (pow (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))) 3))

series17.8s

Counts

4 → 12

Calls

4 calls:

166.0ms	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
45.0ms	(fma b (- (+ y t) 2.0) x)
17.3s	(pow (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))) 3)
289.0ms	(cbrt (pow (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))) 3))

simplify40.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	230	858
1	889	789
2	5001	773

prune216.0ms

Filtered

80 candidates to 54 candidates (67.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	80	3	83

Merged error: 0.0b

Counts

83 → 3

regimes141.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

573.0ms	12435×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid