Details

Time bar (total: 1.6s)

sample12.0ms

Algorithm
intervals
Results
5.0ms257×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0143
1193
2213
3233
4253
5263
6263

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

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))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03053
15446
216146
360746
4268746
5500346

prune28.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

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)

rewrite19.0ms

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:
10.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
8.0ms
(* (/ 841.0 108.0) x)

series48.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
15.0ms
(* (/ 841.0 108.0) x)

simplify76.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0252227
1873207
23441206
35001205

prune98.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune2.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x)) (/ 4.0 29.0))
0.2b
(* (/ (sqrt 841.0) (sqrt 108.0)) x)
0.3b
(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
80×associate-*l*
76×times-frac sqrt-prod
68×add-sqr-sqrt
54×add-cube-cbrt *-un-lft-identity
29×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
10×pow1
7×associate-*l/
6×cbrt-undiv div-exp
5×add-log-exp unswap-sqr
4×associate-*r* pow-prod-down
3×expm1-log1p-u frac-add log1p-expm1-u
2×frac-times associate-*r/ *-commutative div-inv
1×+-commutative fma-def flip3-+ sum-log flip-+
Counts
3 → 149
Calls
3 calls:
31.0ms
(+ (* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x)) (/ 4.0 29.0))
18.0ms
(* (/ (sqrt 841.0) (sqrt 108.0)) x)
36.0ms
(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

series431.0ms

Counts
3 → 9
Calls
3 calls:
182.0ms
(+ (* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x)) (/ 4.0 29.0))
91.0ms
(* (/ (sqrt 841.0) (sqrt 108.0)) x)
159.0ms
(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

simplify68.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05021338
123441084
25001984

prune309.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes9.0ms

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)

IterNodesCost
041

end0.0ms

sample252.0ms

Algorithm
intervals
Results
162.0ms8014×body80valid
0.0ms1×body320valid