Details

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b	(* (/ 841.0 108.0) x)

rewrite29.0ms

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)

series51.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
15.0ms	(* (/ 841.0 108.0) x)

simplify83.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (78.0ms)

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

prune117.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.1b	(* (cbrt (/ 841.0 108.0)) x)
0.4b	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
1.0b	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

79×	`cbrt-prod`
76×	`add-sqr-sqrt`
52×	`times-frac`
45×	`add-cube-cbrt` `*-un-lft-identity`
33×	`associate-l`
29×	`cbrt-div`
25×	`pow1`
20×	`add-exp-log` `associate-r` `associate-*l/`
16×	`swap-sqr`
12×	`unswap-sqr`
11×	`frac-times` `pow-prod-down` `add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod`
7×	`associate-*r/` `frac-add`
6×	`pow1/3` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `fma-def` `flip3-+` `pow-plus` `sum-log` `flip-+`

Counts

4 → 168

Calls

4 calls:

56.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
15.0ms	(* (cbrt (/ 841.0 108.0)) x)
53.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
27.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series231.0ms

Counts

4 → 10

Calls

4 calls:

102.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
39.0ms	(* (cbrt (/ 841.0 108.0)) x)
89.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
0.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	515	1513
1	1897	1352
2	5001	1264

prune412.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (* 841.0 x) 29.0 (* 108.0 4.0))
0.3b	(/ (fma (* 841.0 x) 29.0 (* 108.0 4.0)) (* 108.0 29.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`times-frac` `associate-/l*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `fma-udef` `div-inv`

Counts

2 → 33

Calls

2 calls:

0.0ms	(fma (* 841.0 x) 29.0 (* 108.0 4.0))
7.0ms	(/ (fma (* 841.0 x) 29.0 (* 108.0 4.0)) (* 108.0 29.0))

series91.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma (* 841.0 x) 29.0 (* 108.0 4.0))
57.0ms	(/ (fma (* 841.0 x) 29.0 (* 108.0 4.0)) (* 108.0 29.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	135	238
1	433	198
2	2003	198
3	5001	198

prune99.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (* 841.0 x) 29.0 (* 108.0 4.0))
0.4b	(* (fma (* 841.0 x) 29.0 (* 108.0 4.0)) (/ 1 (* 108.0 29.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`prod-exp`
7×	`add-sqr-sqrt` `associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `div-exp` `cbrt-unprod`
3×	`times-frac` `associate-l`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `fma-udef` `div-inv` `unswap-sqr`

Counts

2 → 44

Calls

2 calls:

0.0ms	(fma (* 841.0 x) 29.0 (* 108.0 4.0))
27.0ms	(* (fma (* 841.0 x) 29.0 (* 108.0 4.0)) (/ 1 (* 108.0 29.0)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(fma (* 841.0 x) 29.0 (* 108.0 4.0))
57.0ms	(* (fma (* 841.0 x) 29.0 (* 108.0 4.0)) (/ 1 (* 108.0 29.0)))

simplify33.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	219	330
1	864	267
2	5001	263

prune101.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

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

sample271.0ms

Algorithm

intervals

Results

176.0ms	8004×	body	80	valid
0.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid