Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

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

localize6.0ms

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)

rewrite16.0ms

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:

7.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
8.0ms	(* (/ 841.0 108.0) x)

series53.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
16.0ms	(* (/ 841.0 108.0) x)

simplify76.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (72.0ms)

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

prune107.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

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)))

rewrite104.0ms

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:

33.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
9.0ms	(* (cbrt (/ 841.0 108.0)) x)
33.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
17.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series248.0ms

Counts

4 → 10

Calls

4 calls:

108.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
44.0ms	(* (cbrt (/ 841.0 108.0)) x)
96.0ms	(* (* (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)))

simplify76.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (55.0ms)

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

prune406.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:

15.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
3.0ms	(/ (* 841.0 x) 108.0)

series48.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
14.0ms	(/ (* 841.0 x) 108.0)

simplify81.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (77.0ms)

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

prune97.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log (exp (* (/ 841.0 108.0) x))) (/ 4.0 29.0))
0.1b	(* (/ 841.0 108.0) x)
3.4b	(log (exp (* (/ 841.0 108.0) x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

10.0ms	(+ (log (exp (* (/ 841.0 108.0) x))) (/ 4.0 29.0))
7.0ms	(* (/ 841.0 108.0) x)
1.0ms	(log (exp (* (/ 841.0 108.0) x)))

series68.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (log (exp (* (/ 841.0 108.0) x))) (/ 4.0 29.0))
15.0ms	(* (/ 841.0 108.0) x)
15.0ms	(log (exp (* (/ 841.0 108.0) x)))

simplify75.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	261	354
1	850	305
2	3224	302
3	5001	301

prune187.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes46.0ms

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

sample387.0ms

Algorithm

intervals

Results

292.0ms	8013×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid