Details

Time bar (total: 11.4s)

sample33.0ms

Algorithm
intervals
Results
13.0ms352×body80valid

simplify59.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3457
4617
done617

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x y))
0.1b
(* x (- 1.0 (* x y)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×prod-diff
8×add-cube-cbrt *-un-lft-identity
5×distribute-rgt-in distribute-lft-in
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×sub-neg fma-neg associate-*r* associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
11.0ms
(- 1.0 (* x y))
33.0ms
(* x (- 1.0 (* x y)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- 1.0 (* x y))
76.0ms
(* x (- 1.0 (* x y)))

simplify729.0ms

Counts
58 → 58
Iterations

Useful iterations: done (726.0ms)

IterNodesCost
081616
1195607
2805540
done5001522

prune299.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* x y))))
0.1b
(* x (- (* x y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*l* distribute-rgt-neg-out
2×expm1-log1p-u log1p-expm1-u
1×+-commutative distribute-lft-neg-in neg-mul-1 fma-def distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 41
Calls
2 calls:
17.0ms
(+ (* x 1.0) (* x (- (* x y))))
22.0ms
(* x (- (* x y)))

series108.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(+ (* x 1.0) (* x (- (* x y))))
37.0ms
(* x (- (* x y)))

simplify1.1s

Counts
47 → 47
Iterations

Useful iterations: done (1.1s)

IterNodesCost
070467
1205391
21027364
done5000354

prune266.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (sqrt 1.0) (sqrt 1.0) (- (* x y)))
0.1b
(* x (fma (sqrt 1.0) (sqrt 1.0) (- (* x y))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l* fma-udef
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
1.0ms
(fma (sqrt 1.0) (sqrt 1.0) (- (* x y)))
13.0ms
(* x (fma (sqrt 1.0) (sqrt 1.0) (- (* x y))))

series283.0ms

Counts
2 → 6
Calls
2 calls:
119.0ms
(fma (sqrt 1.0) (sqrt 1.0) (- (* x y)))
164.0ms
(* x (fma (sqrt 1.0) (sqrt 1.0) (- (* x y))))

simplify3.0s

Counts
38 → 38
Iterations

Useful iterations: 3 (934.0ms)

IterNodesCost
052513
1114332
2441296
33333288
done5001288

prune232.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
8.8b
(cbrt (- (* x y)))
8.8b
(cbrt (- (* x y)))
8.8b
(cbrt (- (* x y)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
46×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l*
7×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
6×add-exp-log
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 → 99
Calls
4 calls:
43.0ms
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
4.0ms
(cbrt (- (* x y)))
4.0ms
(cbrt (- (* x y)))
4.0ms
(cbrt (- (* x y)))

series750.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
172.0ms
(cbrt (- (* x y)))
170.0ms
(cbrt (- (* x y)))
167.0ms
(cbrt (- (* x y)))

simplify1.5s

Counts
111 → 111
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01141258
12581162
29511080
done50001029

prune955.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes182.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11411
21611
done1611

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.0s10774×body80valid