Details

Time bar (total: 8.4s)

sample19.0ms

Algorithm
intervals
Results
8.0ms350×body80valid

simplify26.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3457
4617
done617

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
3×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
28.0ms
(* x (- 1.0 (* x y)))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* x (- 1.0 (* x y)))

simplify798.0ms

Counts
35 → 35
Iterations

Useful iterations: done (797.0ms)

IterNodesCost
071411
1174408
2721364
done5000349

prune100.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (- (* x y)) x))
0.2b
(* (- (* x y)) x)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*l*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×distribute-lft-neg-out associate-*r*
2×expm1-log1p-u log1p-expm1-u
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-out fma-def distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 41
Calls
2 calls:
16.0ms
(+ (* 1.0 x) (* (- (* x y)) x))
18.0ms
(* (- (* x y)) x)

series78.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(+ (* 1.0 x) (* (- (* x y)) x))
23.0ms
(* (- (* x y)) x)

simplify1.8s

Counts
47 → 47
Iterations

Useful iterations: done (1.8s)

IterNodesCost
069469
1198407
21346368
done5000365

prune122.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite33.0ms

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:
23.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
358.0ms
(* (cbrt x) (cbrt x))
337.0ms
(cbrt x)
303.0ms
(cbrt x)
327.0ms
(cbrt x)

simplify1.3s

Counts
93 → 93
Iterations

Useful iterations: done (1.3s)

IterNodesCost
065554
1143443
2719423
done5000409

prune417.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 1.0 x) (* (pow x 2) y))
8.9b
(* (pow x 2) y)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*l*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u unpow2 sqr-pow
1×pow-to-exp sub-neg flip3-- fma-neg diff-log prod-diff pow-exp *-commutative flip-- cbrt-unprod
Counts
2 → 45
Calls
2 calls:
12.0ms
(- (* 1.0 x) (* (pow x 2) y))
13.0ms
(* (pow x 2) y)

series94.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(- (* 1.0 x) (* (pow x 2) y))
35.0ms
(* (pow x 2) y)

simplify804.0ms

Counts
51 → 51
Iterations

Useful iterations: done (802.0ms)

IterNodesCost
080507
1188468
2729420
done5001385

prune161.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes103.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample992.0ms

Algorithm
intervals
Results
470.0ms10652×body80valid