Details

Time bar (total: 21.2s)

sample24.0ms

Algorithm
intervals
Results
11.0ms342×body80valid

simplify35.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3447
4587
done587

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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:
19.0ms
(* x (- 1.0 (* x y)))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* x (- 1.0 (* x y)))

simplify2.1s

Counts
35 → 35
Iterations

Useful iterations: done (2.1s)

IterNodesCost
071411
1151408
2382356
31330347
done5000311

prune72.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

series1.2s

Counts
4 → 12
Calls
4 calls:
353.0ms
(* (cbrt x) (cbrt x))
293.0ms
(cbrt x)
335.0ms
(cbrt x)
266.0ms
(cbrt x)

simplify5.2s

Counts
93 → 93
Iterations

Useful iterations: done (5.2s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune309.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.7b
(cbrt (cbrt x))
0.7b
(cbrt (cbrt x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 58
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series1.4s

Counts
4 → 12
Calls
4 calls:
306.0ms
(cbrt x)
277.0ms
(cbrt x)
438.0ms
(cbrt (cbrt x))
374.0ms
(cbrt (cbrt x))

simplify4.2s

Counts
70 → 70
Iterations

Useful iterations: done (4.2s)

IterNodesCost
046374
179356
2151328
3319316
4972316
54693316
done5000304

prune285.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (- (* (pow x 2) y)))
8.6b
(* (pow x 2) y)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*l*
7×add-exp-log
6×add-log-exp
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube unswap-sqr
3×associate-*r* prod-exp
2×pow1 expm1-log1p-u sum-log log1p-expm1-u unpow2 sqr-pow
1×+-commutative neg-sub0 pow-to-exp associate-+r- fma-def flip3-+ unsub-neg neg-log pow-exp *-commutative cbrt-unprod flip-+
Counts
2 → 47
Calls
2 calls:
26.0ms
(+ (* x 1.0) (- (* (pow x 2) y)))
25.0ms
(* (pow x 2) y)

series108.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(+ (* x 1.0) (- (* (pow x 2) y)))
35.0ms
(* (pow x 2) y)

simplify4.4s

Counts
53 → 53
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
083507
1212455
2765400
33635364
done5000364

prune183.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample1.3s

Algorithm
intervals
Results
486.0ms10749×body80valid