Details

Time bar (total: 4.2s)

sample140.0ms

Algorithm
intervals
Results
14.0ms379×body80valid

simplify104.0ms

Counts
1 → 1

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize67.0ms

Local error

Found 3 expressions with local error:

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

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1
17×add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt pow-plus pow-prod-up
5×add-cube-cbrt *-un-lft-identity add-log-exp
4×associate-*r* associate-*l*
2×pow2 pow-sqr *-commutative
1×sub-neg flip3-- diff-log pow3 flip-- unswap-sqr
Counts
3 → 61
Calls
3 calls:
10.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
60.0ms
(* 0.12900613773279798 (* (* x x) x))
23.0ms
(* (* x x) x)

series208.0ms

Counts
3 → 9
Calls
3 calls:
115.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
48.0ms
(* 0.12900613773279798 (* (* x x) x))
44.0ms
(* (* x x) x)

simplify32.0ms

Counts
70 → 70

prune116.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 0.954929658551372 x) (* (- (/ 4647935950575487.0 3.602879701896397e+16)) (pow x 3)))
0.1b
(* (- (/ 4647935950575487.0 3.602879701896397e+16)) (pow x 3))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
30×associate-*l*
27×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
18×times-frac
13×distribute-lft-neg-in distribute-rgt-neg-in
12×associate-*r*
7×add-exp-log
4×unpow-prod-down cube-prod add-cbrt-cube add-log-exp unswap-sqr
3×distribute-lft-neg-out prod-exp
2×pow1 div-inv sqr-pow
1×+-commutative cube-mult pow-to-exp neg-mul-1 flip3-+ unpow3 unsub-neg associate-*l/ pow-exp sum-log *-commutative cbrt-unprod flip-+ distribute-neg-frac
Counts
2 → 73
Calls
2 calls:
8.0ms
(+ (* 0.954929658551372 x) (* (- (/ 4647935950575487.0 3.602879701896397e+16)) (pow x 3)))
40.0ms
(* (- (/ 4647935950575487.0 3.602879701896397e+16)) (pow x 3))

series184.0ms

Counts
2 → 6
Calls
2 calls:
131.0ms
(+ (* 0.954929658551372 x) (* (- (/ 4647935950575487.0 3.602879701896397e+16)) (pow x 3)))
53.0ms
(* (- (/ 4647935950575487.0 3.602879701896397e+16)) (pow x 3))

simplify53.0ms

Counts
79 → 79

prune267.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 0.954929658551372 x) (* (* (- (/ 4647935950575487.0 3.602879701896397e+16)) x) (* x x)))
0.2b
(* (* (- (/ 4647935950575487.0 3.602879701896397e+16)) x) (* x x))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
6×distribute-lft-neg-out
4×add-log-exp
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l/
1×+-commutative flip3-+ associate-*r* associate-*l* unsub-neg sum-log *-commutative flip-+ distribute-neg-frac
Counts
2 → 37
Calls
2 calls:
20.0ms
(+ (* 0.954929658551372 x) (* (* (- (/ 4647935950575487.0 3.602879701896397e+16)) x) (* x x)))
90.0ms
(* (* (- (/ 4647935950575487.0 3.602879701896397e+16)) x) (* x x))

series250.0ms

Counts
2 → 6
Calls
2 calls:
171.0ms
(+ (* 0.954929658551372 x) (* (* (- (/ 4647935950575487.0 3.602879701896397e+16)) x) (* x x)))
79.0ms
(* (* (- (/ 4647935950575487.0 3.602879701896397e+16)) x) (* x x))

simplify58.0ms

Counts
43 → 43

prune130.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 0.954929658551372 x) (* (* (* (- (/ 4647935950575487.0 3.602879701896397e+16)) x) x) (cbrt (pow x 3))))
0.1b
(* (* (* (- (/ 4647935950575487.0 3.602879701896397e+16)) x) x) (cbrt (pow x 3)))
0.2b
(* (* (- (/ 4647935950575487.0 3.602879701896397e+16)) x) x)
29.5b
(cbrt (pow x 3))

rewrite299.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
18×pow1 add-exp-log associate-*r*
15×add-cbrt-cube
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×distribute-lft-neg-out
9×pow-prod-down prod-exp cbrt-unprod
6×unpow-prod-down cube-prod add-log-exp
5×associate-*l/
2×cube-mult unpow3 associate-*l* *-commutative distribute-neg-frac sqr-pow
1×+-commutative flip3-+ pow1/3 unsub-neg sum-log rem-cbrt-cube flip-+
Counts
4 → 89
Calls
4 calls:
19.0ms
(+ (* 0.954929658551372 x) (* (* (* (- (/ 4647935950575487.0 3.602879701896397e+16)) x) x) (cbrt (pow x 3))))
230.0ms
(* (* (* (- (/ 4647935950575487.0 3.602879701896397e+16)) x) x) (cbrt (pow x 3)))
42.0ms
(* (* (- (/ 4647935950575487.0 3.602879701896397e+16)) x) x)
3.0ms
(cbrt (pow x 3))

series386.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(+ (* 0.954929658551372 x) (* (* (* (- (/ 4647935950575487.0 3.602879701896397e+16)) x) x) (cbrt (pow x 3))))
107.0ms
(* (* (* (- (/ 4647935950575487.0 3.602879701896397e+16)) x) x) (cbrt (pow x 3)))
49.0ms
(* (* (- (/ 4647935950575487.0 3.602879701896397e+16)) x) x)
38.0ms
(cbrt (pow x 3))

simplify80.0ms

Counts
101 → 101

prune307.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify53.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
757.0ms12060×body80valid