Details

Time bar (total: 30.9s)

sample107.0ms

Algorithm
intervals
Results
23.0ms374×body80valid

simplify7.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0811
11811
2929
32749
47519
534899
done50009

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite131.0ms

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*
3×expm1-log1p-u log1p-expm1-u
2×pow2 pow-sqr *-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff pow3 flip-- unswap-sqr
Counts
3 → 69
Calls
3 calls:
10.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
37.0ms
(* (* x x) x)
79.0ms
(* 0.12900613773279798 (* (* x x) x))

series255.0ms

Counts
3 → 9
Calls
3 calls:
140.0ms
(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
62.0ms
(* (* x x) x)
52.0ms
(* 0.12900613773279798 (* (* x x) x))

simplify1.9s

Counts
78 → 78
Iterations

Useful iterations: done (1.9s)

IterNodesCost
091784
1642550
done5000489

prune180.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1 add-exp-log add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
6×associate-*l*
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u fma-neg prod-diff log1p-expm1-u
2×flip3-- associate-*l/ *-commutative flip-- unswap-sqr
1×sub-neg diff-log
Counts
3 → 63
Calls
3 calls:
9.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
43.0ms
(* (- 0.954929658551372 (* 0.12900613773279798 (* x x))) x)
32.0ms
(* 0.12900613773279798 (* x x))

series283.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
143.0ms
(* (- 0.954929658551372 (* 0.12900613773279798 (* x x))) x)
36.0ms
(* 0.12900613773279798 (* x x))

simplify2.1s

Counts
72 → 72
Iterations

Useful iterations: done (2.1s)

IterNodesCost
099762
1483721
done5000647

prune259.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
12.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
347.0ms
(* (cbrt x) (cbrt x))
319.0ms
(cbrt x)
343.0ms
(cbrt x)
301.0ms
(cbrt x)

simplify9.8s

Counts
93 → 93
Iterations

Useful iterations: done (9.8s)

IterNodesCost
065554
1407443
done5000408

prune332.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.12900613773279798 (* (sqrt (pow x 3)) (sqrt (pow x 3))))
0.1b
(* (sqrt (pow x 3)) (sqrt (pow x 3)))
25.4b
(sqrt (pow x 3))
25.4b
(sqrt (pow x 3))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
126×sqrt-prod
82×add-sqr-sqrt
36×unpow-prod-down cube-prod
31×add-cube-cbrt *-un-lft-identity
26×unswap-sqr
23×swap-sqr
18×associate-*l* sqr-pow
16×pow1 associate-*r*
11×add-exp-log add-cbrt-cube
8×rem-sqrt-square sqrt-pow1 pow1/2
6×cube-mult unpow3 pow-prod-down
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-sqr pow-prod-up
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 178
Calls
4 calls:
52.0ms
(* 0.12900613773279798 (* (sqrt (pow x 3)) (sqrt (pow x 3))))
45.0ms
(* (sqrt (pow x 3)) (sqrt (pow x 3)))
4.0ms
(sqrt (pow x 3))
4.0ms
(sqrt (pow x 3))

series207.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* 0.12900613773279798 (* (sqrt (pow x 3)) (sqrt (pow x 3))))
67.0ms
(* (sqrt (pow x 3)) (sqrt (pow x 3)))
31.0ms
(sqrt (pow x 3))
50.0ms
(sqrt (pow x 3))

simplify4.7s

Counts
190 → 190
Iterations

Useful iterations: done (4.7s)

IterNodesCost
01432405
126681394
done50011329

prune476.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0811
11111
done1111

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s12090×body80valid