Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

325×

body

valid

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	51	3
3	90	3
4	150	3
5	214	3
6	308	3
7	447	3
8	550	3
9	865	3
10	1231	3
11	1725	3
12	2728	3
13	4466	3
14	5001	3

prune7.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
5.8b	(fma (/ (- y x) t) z x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 50

Calls

2 calls:

6.0ms	(/ (- y x) t)
1.0ms	(fma (/ (- y x) t) z x)

series60.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ (- y x) t)
36.0ms	(fma (/ (- y x) t) z x)

simplify44.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	194	271
1	528	254
2	1881	245
3	5002	245

prune128.0ms

Filtered

56 candidates to 41 candidates (73.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	49	7	56
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	49	9	58

Merged error: 0.0b

Counts

58 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1 (/ t (- y x)))
5.8b	(fma (/ 1 (/ t (- y x))) z x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

123×	`times-frac`
84×	`add-sqr-sqrt` `*-un-lft-identity`
60×	`add-cube-cbrt`
21×	`associate-/r*`
13×	`add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
9×	`associate-/r/`
7×	`div-exp` `add-cbrt-cube`
5×	`div-inv`
4×	`flip3--` `flip--`
3×	`pow1` `cbrt-undiv` `associate-/l*`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `frac-2neg` `clear-num` `fma-udef` `inv-pow`

Counts

2 → 120

Calls

2 calls:

9.0ms	(/ 1 (/ t (- y x)))
1.0ms	(fma (/ 1 (/ t (- y x))) z x)

series62.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ 1 (/ t (- y x)))
31.0ms	(fma (/ 1 (/ t (- y x))) z x)

simplify53.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	459	948
1	1977	831
2	5002	705

prune164.0ms

Filtered

126 candidates to 57 candidates (45.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	128	7	135

Merged error: 0b

Counts

135 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

5.5b	(/ z (/ t (- y x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

123×	`times-frac`
83×	`add-sqr-sqrt` `*-un-lft-identity`
59×	`add-cube-cbrt`
21×	`associate-/r*`
12×	`distribute-lft-out--` `difference-of-squares`
9×	`associate-/r/`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`flip3--` `flip--`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

1 → 104

Calls

1 calls:

9.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify59.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	469	871
1	2086	841
2	5001	838

prune220.0ms

Filtered

107 candidates to 82 candidates (76.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	5	0	5
Picked	0	1	1
Done	0	1	1
Total	110	4	114

Merged error: 0b

Counts

114 → 4

localize10.0ms

Local error

Found 1 expressions with local error:

6.1b	(* (/ z t) (- y x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 62

Calls

1 calls:

11.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	381	523
1	1486	369
2	5001	357

prune88.0ms

Filtered

65 candidates to 38 candidates (58.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	65	4	69

Merged error: 0b

Counts

69 → 4

regimes75.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample542.0ms

Algorithm

intervals

Results

288.0ms

10537×

body

valid