Details

Time bar (total: 55.0s)

sample117.0ms

Algorithm
intervals
Results
21.0ms392×body80valid

simplify145.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
144.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
8×*-un-lft-identity add-cube-cbrt
6×associate-*r*
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u fma-neg prod-diff insert-posit16 log1p-expm1-u
2×flip3-- associate-*l/ *-commutative flip--
1×sub-neg diff-log unswap-sqr
Counts
3 → 65
Calls
3 calls:
Slowest
16.0ms
(* (* 0.12900613773279798 x) x)
12.0ms
(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
4.0ms
(- 0.954929658551372 (* (* 0.12900613773279798 x) x))

series252.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
143.0ms
(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
73.0ms
(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
35.0ms
(* (* 0.12900613773279798 x) x)

simplify4.1s

Counts
37 → 74
Calls
37 calls:
Slowest
718.0ms
(* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x))
655.0ms
(* (* (* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* (* x x) x))
378.0ms
(/ (exp 0.954929658551372) (exp (* (* 0.12900613773279798 x) x)))
282.0ms
(* (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* x x) x)) (* (* x x) x))
257.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune510.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1
17×add-cbrt-cube add-exp-log
9×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt pow-plus pow-prod-up
5×*-un-lft-identity add-cube-cbrt add-log-exp
4×associate-*r* associate-*l*
3×expm1-log1p-u insert-posit16 log1p-expm1-u
2×pow2 pow-sqr *-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff pow3 flip-- unswap-sqr
Counts
3 → 72
Calls
3 calls:
Slowest
67.0ms
(* 0.12900613773279798 (* (* x x) x))
20.0ms
(* (* x x) x)
8.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

series291.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
164.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
68.0ms
(* 0.12900613773279798 (* (* x x) x))
59.0ms
(* (* x x) x)

simplify4.2s

Counts
37 → 81
Calls
37 calls:
Slowest
448.0ms
(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
445.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
410.0ms
(/ (exp (* 0.954929658551372 x)) (exp (* 0.12900613773279798 (* (* x x) x))))
406.0ms
(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
396.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))

prune703.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log
6×*-un-lft-identity add-cube-cbrt
4×unpow-prod-down add-cbrt-cube cube-prod add-log-exp unswap-sqr
3×associate-*l* prod-exp
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u sqr-pow
1×cube-mult pow-to-exp sub-neg flip3-- fma-neg diff-log unpow3 prod-diff pow-exp *-commutative cbrt-unprod flip--
Counts
2 → 51
Calls
2 calls:
Slowest
10.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
8.0ms
(* 0.12900613773279798 (pow x 3))

series222.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
152.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
69.0ms
(* 0.12900613773279798 (pow x 3))

simplify3.0s

Counts
34 → 57
Calls
34 calls:
Slowest
851.0ms
(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (pow x 3) (pow x 3)) (pow x 3)))
253.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
238.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
223.0ms
(fma 0.954929658551372 x (- (* (pow x 3) 0.12900613773279798)))
192.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune419.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

7.7b
(/ (- (pow 0.954929658551372 3) (pow (* (* 0.12900613773279798 x) x) 3)) (+ (* 0.954929658551372 0.954929658551372) (+ (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* 0.954929658551372 (* (* 0.12900613773279798 x) x)))))
0.2b
(pow (* (* 0.12900613773279798 x) x) 3)
0.2b
(* 0.954929658551372 (* (* 0.12900613773279798 x) x))
0.2b
(* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))

rewrite624.0ms

Algorithm
rewrite-expression-head
Rules
133×pow1
75×pow-prod-down
64×add-sqr-sqrt
57×add-cbrt-cube add-exp-log
39×times-frac
36×prod-exp cbrt-unprod
32×*-un-lft-identity difference-of-squares
25×sqr-pow
24×add-cube-cbrt
13×associate-/l*
9×unpow-prod-down cube-prod pow-sqr pow-prod-up
4×expm1-log1p-u difference-cubes associate-*l* insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp
3×pow-unpow associate-/r* pow-pow pow-plus pow-exp rem-cube-cbrt
2×associate-*r* associate-/r/ *-commutative associate-/l/
1×pow2 cube-mult pow-to-exp cbrt-undiv clear-num frac-2neg flip3-+ flip3-- unpow3 div-sub swap-sqr div-exp flip-+ div-inv flip--
Counts
4 → 190
Calls
4 calls:
Slowest
434.0ms
(/ (- (pow 0.954929658551372 3) (pow (* (* 0.12900613773279798 x) x) 3)) (+ (* 0.954929658551372 0.954929658551372) (+ (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* 0.954929658551372 (* (* 0.12900613773279798 x) x)))))
131.0ms
(* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))
43.0ms
(* 0.954929658551372 (* (* 0.12900613773279798 x) x))
12.0ms
(pow (* (* 0.12900613773279798 x) x) 3)

series384.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
224.0ms
(/ (- (pow 0.954929658551372 3) (pow (* (* 0.12900613773279798 x) x) 3)) (+ (* 0.954929658551372 0.954929658551372) (+ (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* 0.954929658551372 (* (* 0.12900613773279798 x) x)))))
71.0ms
(pow (* (* 0.12900613773279798 x) x) 3)
51.0ms
(* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))
38.0ms
(* 0.954929658551372 (* (* 0.12900613773279798 x) x))

simplify35.7s

Counts
204 → 202
Calls
204 calls:
Slowest
927.0ms
(/ (* (* (- (pow 0.954929658551372 3) (pow (* (* 0.12900613773279798 x) x) 3)) (- (pow 0.954929658551372 3) (pow (* (* 0.12900613773279798 x) x) 3))) (- (pow 0.954929658551372 3) (pow (* (* 0.12900613773279798 x) x) 3))) (* (* (+ (* 0.954929658551372 0.954929658551372) (+ (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (+ (* 0.954929658551372 0.954929658551372) (+ (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* 0.954929658551372 (* (* 0.12900613773279798 x) x))))) (+ (* 0.954929658551372 0.954929658551372) (+ (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* 0.954929658551372 (* (* 0.12900613773279798 x) x))))))
633.0ms
(/ (- (pow (sqrt 0.954929658551372) 3) (sqrt (pow (* (* 0.12900613773279798 x) x) 3))) (sqrt (+ (* 0.954929658551372 0.954929658551372) (+ (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* 0.954929658551372 (* (* 0.12900613773279798 x) x))))))
630.0ms
(+ (* (* 0.954929658551372 0.954929658551372) (* 0.954929658551372 0.954929658551372)) (- (* (+ (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* 0.954929658551372 (* (* 0.12900613773279798 x) x))) (+ (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* 0.954929658551372 (* (* 0.12900613773279798 x) x)))) (* (* 0.954929658551372 0.954929658551372) (+ (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* 0.954929658551372 (* (* 0.12900613773279798 x) x))))))
626.0ms
(+ (pow 0.954929658551372 (/ 3 2)) (pow (* (* 0.12900613773279798 x) x) (/ 3 2)))
584.0ms
(/ (+ (sqrt (pow 0.954929658551372 3)) (pow (* (* 0.12900613773279798 x) x) (/ 3 2))) 1)

prune2.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.2s11885×body80valid