Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

362×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	48	3
3	96	3
4	153	3
5	203	3
6	247	3
7	401	3
8	680	3
9	1133	3
10	1866	3
11	3291	3
12	4745	3
13	5001	3

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

2.4b	(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ y t) (- z x) x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma (/ y t) (- z x) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	40	69
1	93	62
2	270	53
3	1300	53
4	5001	53

prune37.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	10	5	15

Merged error: 0.0b

Counts

15 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y t) (- z x) x))
2.4b	(fma (/ y t) (- z x) x)
2.4b	(fma (/ y t) (- z x) x)
2.4b	(fma (/ y t) (- z x) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ y t) (- z x) x))
1.0ms	(fma (/ y t) (- z x) x)
1.0ms	(fma (/ y t) (- z x) x)
1.0ms	(fma (/ y t) (- z x) x)

series258.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (fma (/ y t) (- z x) x))
27.0ms	(fma (/ y t) (- z x) x)
30.0ms	(fma (/ y t) (- z x) x)
28.0ms	(fma (/ y t) (- z x) x)

simplify34.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	116	320
1	284	290
2	1044	260
3	5001	255

prune132.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	55	5	60

Merged error: 0.0b

Counts

60 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z x))
7.5b	(/ (* y (- z x)) t)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 71

Calls

2 calls:

7.0ms	(* y (- z x))
8.0ms	(/ (* y (- z x)) t)

series81.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* y (- z x))
48.0ms	(/ (* y (- z x)) t)

simplify40.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	313	491
1	1415	328
2	5001	322

prune96.0ms

Filtered

77 candidates to 41 candidates (53.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	76	6	82

Merged error: 0.0b

Counts

82 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- z x))
6.4b	(/ y (/ t (- z x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

2 → 143

Calls

2 calls:

5.0ms	(/ t (- z x))
8.0ms	(/ y (/ t (- z x)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ t (- z x))
54.0ms	(/ y (/ t (- z x)))

simplify77.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	488	1065
1	2204	1025
2	5001	1016

prune266.0ms

Filtered

149 candidates to 111 candidates (74.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	149	6	155

Merged error: 0b

Counts

155 → 6

regimes145.0ms

Accuracy

57.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	20
1	25	20

end0.0ms

sample527.0ms

Algorithm

intervals

Results

271.0ms

10746×

body

valid