Details

Time bar (total: 15.8s)

sample29.0ms

Algorithm
intervals
Results
12.0ms284×body80valid

simplify31.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2197
3437
done437

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×sub-neg flip3-- flip3-+ diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 33
Calls
2 calls:
28.0ms
(- (* (+ x 1.0) y) x)
55.0ms
(* (+ x 1.0) y)

series88.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (* (+ x 1.0) y) x)
51.0ms
(* (+ x 1.0) y)

simplify2.3s

Counts
39 → 39
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
063360
1149332
2526322
32193304
done5000304

prune116.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite37.0ms

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×add-cbrt-cube 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 → 73
Calls
4 calls:
28.0ms
(* (cbrt y) (cbrt y))
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
348.0ms
(* (cbrt y) (cbrt y))
219.0ms
(cbrt y)
324.0ms
(cbrt y)
312.0ms
(cbrt y)

simplify4.9s

Counts
85 → 85
Iterations

Useful iterations: done (4.9s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune279.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
4.0b
(* (- (* x x) (* 1.0 1.0)) y)
5.4b
(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-/r* add-log-exp
4×flip3-- associate-*l* associate-*l/ flip-- difference-of-squares
3×associate-*r* distribute-lft-out--
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×sub-neg frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 64
Calls
3 calls:
60.0ms
(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
29.0ms
(* (- (* x x) (* 1.0 1.0)) y)
33.0ms
(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

series205.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
71.0ms
(* (- (* x x) (* 1.0 1.0)) y)
75.0ms
(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

simplify1.2s

Counts
73 → 73
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01261209
13411138
213871010
done5000982

prune152.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (sqrt y))
0.3b
(cbrt (sqrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 50
Calls
4 calls:
2.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.0s

Counts
4 → 12
Calls
4 calls:
224.0ms
(cbrt (sqrt y))
212.0ms
(cbrt (sqrt y))
316.0ms
(cbrt y)
253.0ms
(cbrt y)

simplify3.0s

Counts
62 → 62
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
055378
1107350
2248314
3688302
42492296
done5000296

prune225.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample597.0ms

Algorithm
intervals
Results
283.0ms9154×body80valid
0.0ms4×body640valid