Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	19	3
2	21	3
3	23	3
4	25	3
5	26	3
6	26	3

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ 841.0 108.0) x (/ 4.0 29.0))

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:

0.0ms

(fma (/ 841.0 108.0) x (/ 4.0 29.0))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	30	53
1	54	46
2	161	46
3	607	46
4	2687	46
5	5003	46

prune24.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.2b	(* (/ 841.0 108.0) x)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 49

Calls

2 calls:

14.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
14.0ms	(* (/ 841.0 108.0) x)

series52.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
15.0ms	(* (/ 841.0 108.0) x)

simplify72.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	252	227
1	873	207
2	3441	206
3	5001	205

prune96.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
0.2b	(/ (* 841.0 x) 108.0)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`add-exp-log` `fma-def` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
4×	`add-log-exp`
3×	`associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `frac-add` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out` `associate-/l*`

Counts

2 → 45

Calls

2 calls:

20.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
10.0ms	(/ (* 841.0 x) 108.0)

series50.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
17.0ms	(/ (* 841.0 x) 108.0)

simplify79.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	210	190
1	817	170
2	3654	168
3	5001	167

prune91.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 841.0 x) (/ 1 108.0)) (/ 4.0 29.0))
0.3b	(* (* 841.0 x) (/ 1 108.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
14×	`add-cbrt-cube`
13×	`associate-r`
12×	`prod-exp`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`pow1`
6×	`cbrt-unprod`
4×	`div-exp` `add-log-exp`
3×	`pow-prod-down`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `associate-*r/` `frac-add` `un-div-inv` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 56

Calls

2 calls:

24.0ms	(+ (* (* 841.0 x) (/ 1 108.0)) (/ 4.0 29.0))
26.0ms	(* (* 841.0 x) (/ 1 108.0))

series54.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* (* 841.0 x) (/ 1 108.0)) (/ 4.0 29.0))
16.0ms	(* (* 841.0 x) (/ 1 108.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	349	306
1	1614	259
2	5001	243

prune89.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample266.0ms

Algorithm

intervals

Results

154.0ms	8006×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid