Details

Time bar (total: 2.2s)

sample16.0ms

Algorithm
intervals
Results
8.0ms381×body80valid

simplify192.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0165
1404
2884
31424
42024
54004
613494
747084
850014

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b
(* 0.12900613773279798 (* x x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
prod-diff
associate-*l*
distribute-rgt-in distribute-lft-in add-log-exp
associate-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u sub-neg fma-neg log1p-expm1-u
flip3-- associate-*r/ *-commutative flip-- unswap-sqr
diff-log
Counts
3 → 73
Calls
3 calls:
7.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
8.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
7.0ms
(* 0.12900613773279798 (* x x))

series183.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
97.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
25.0ms
(* 0.12900613773279798 (* x x))

simplify41.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0247453
11096392
25001378

prune128.0ms

Filtered
82 candidates to 51 candidates (62.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
0.1b
(* 0.12900613773279798 (pow x 3))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
add-exp-log
add-cube-cbrt *-un-lft-identity add-log-exp
unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
associate-*l* prod-exp
pow1 expm1-log1p-u sum-log log1p-expm1-u sqr-pow
+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- fma-def flip3-+ unpow3 unsub-neg neg-log pow-exp *-commutative cbrt-unprod flip-+
Counts
2 → 51
Calls
2 calls:
4.0ms
(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
7.0ms
(* 0.12900613773279798 (pow x 3))

series132.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
36.0ms
(* 0.12900613773279798 (pow x 3))

simplify42.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0227255
11119225
25002221

prune108.0ms

Filtered
57 candidates to 37 candidates (64.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 0.954929658551372) (- (* (* (* 0.12900613773279798 x) x) x)))
0.1b
(* (* (* 0.12900613773279798 x) x) x)
0.2b
(* (* 0.12900613773279798 x) x)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-log-exp
associate-*r*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u log1p-expm1-u
associate-*l* sum-log *-commutative
+-commutative neg-sub0 associate-+r- fma-def flip3-+ unsub-neg neg-log flip-+
Counts
3 → 61
Calls
3 calls:
3.0ms
(+ (* x 0.954929658551372) (- (* (* (* 0.12900613773279798 x) x) x)))
21.0ms
(* (* (* 0.12900613773279798 x) x) x)
7.0ms
(* (* 0.12900613773279798 x) x)

series157.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(+ (* x 0.954929658551372) (- (* (* (* 0.12900613773279798 x) x) x)))
39.0ms
(* (* (* 0.12900613773279798 x) x) x)
24.0ms
(* (* 0.12900613773279798 x) x)

simplify53.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0267341
11535284
25001265

prune108.0ms

Filtered
70 candidates to 43 candidates (61.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 0.954929658551372) (- (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))))
0.1b
(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))
0.2b
(* (sqrt 0.12900613773279798) (pow x 3))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×add-exp-log
13×associate-*r*
12×associate-*l*
10×add-cube-cbrt *-un-lft-identity prod-exp sqrt-prod add-cbrt-cube
unswap-sqr
add-log-exp
pow1 unpow-prod-down cube-prod
cbrt-unprod
expm1-log1p-u log1p-expm1-u sqr-pow
pow-to-exp pow-exp sum-log *-commutative
+-commutative neg-sub0 cube-mult associate-+r- fma-def flip3-+ unpow3 unsub-neg pow-prod-down neg-log flip-+
Counts
3 → 82
Calls
3 calls:
4.0ms
(+ (* x 0.954929658551372) (- (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))))
13.0ms
(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))
12.0ms
(* (sqrt 0.12900613773279798) (pow x 3))

series303.0ms

Counts
3 → 9
Calls
3 calls:
148.0ms
(+ (* x 0.954929658551372) (- (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))))
89.0ms
(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (pow x 3)))
65.0ms
(* (sqrt 0.12900613773279798) (pow x 3))

simplify60.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0292541
11494450
25001433

prune179.0ms

Filtered
91 candidates to 56 candidates (61.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes17.0ms

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
0165
1185
2185

end0.0ms

sample389.0ms

Algorithm
intervals
Results
265.0ms12044×body80valid