Details

Time bar (total: 2.3s)

sample19.0ms

Algorithm
intervals
Results
12.0ms403×body80valid

simplify189.0ms

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: 0.1b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×prod-diff
6×associate-*l*
5×distribute-rgt-in distribute-lft-in add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u sub-neg fma-neg log1p-expm1-u
2×flip3-- associate-*r/ *-commutative flip-- unswap-sqr
1×diff-log
Counts
3 → 73
Calls
3 calls:
3.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
5.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
5.0ms
(* 0.12900613773279798 (* x x))

series190.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
105.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
26.0ms
(* 0.12900613773279798 (* x x))

simplify40.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0247453
11096392
25001378

prune138.0ms

Filtered
82 candidates to 51 candidates (62.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

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*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity add-log-exp
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 expm1-log1p-u sum-log log1p-expm1-u sqr-pow
1×+-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))))
6.0ms
(* 0.12900613773279798 (pow x 3))

series146.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
42.0ms
(* 0.12900613773279798 (pow x 3))

simplify42.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0227252
11119222
25001218

prune117.0ms

Filtered
57 candidates to 37 candidates (64.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
6×add-log-exp
2×add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity sum-log log1p-expm1-u
1×+-commutative neg-sub0 associate-+r- fma-def flip3-+ associate-*r* associate-*l* unsub-neg neg-log *-commutative flip-+
Counts
2 → 42
Calls
2 calls:
4.0ms
(+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))
7.0ms
(* (* 0.12900613773279798 x) (* x x))

series147.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(+ (* x 0.954929658551372) (- (* (* 0.12900613773279798 x) (* x x))))
42.0ms
(* (* 0.12900613773279798 x) (* x x))

simplify43.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0229264
11074215
25001194

prune82.0ms

Filtered
48 candidates to 28 candidates (58.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))))
0.3b
(* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))
0.3b
(* (sqrt 0.12900613773279798) x)
0.3b
(* (sqrt 0.12900613773279798) x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
49×pow1
25×add-sqr-sqrt
22×add-exp-log add-cbrt-cube
20×pow-prod-down
16×associate-*l*
14×add-cube-cbrt *-un-lft-identity
11×associate-*r* prod-exp cbrt-unprod
8×sqrt-prod
6×prod-diff
5×distribute-rgt-in distribute-lft-in unswap-sqr
4×expm1-log1p-u pow-sqr *-commutative pow-prod-up log1p-expm1-u add-log-exp
2×sub-neg pow-plus associate-*r/
1×pow2 flip3-- swap-sqr flip-- difference-of-squares
Counts
4 → 117
Calls
4 calls:
5.0ms
(* x (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))))
8.0ms
(* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))
5.0ms
(* (sqrt 0.12900613773279798) x)
5.0ms
(* (sqrt 0.12900613773279798) x)

series352.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* x (- 0.954929658551372 (* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))))
78.0ms
(* (* (sqrt 0.12900613773279798) x) (* (sqrt 0.12900613773279798) x))
47.0ms
(* (sqrt 0.12900613773279798) x)
42.0ms
(* (sqrt 0.12900613773279798) x)

simplify50.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0272697
11361566
25001509

prune203.0ms

Filtered
129 candidates to 72 candidates (55.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes32.0ms

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

sample393.0ms

Algorithm
intervals
Results
272.0ms12051×body80valid