Details

Time bar (total: 14.4s)

sample19.0ms

Algorithm
intervals
Results
9.0ms312×body80valid

simplify7.1s

Counts
1 → 1
Iterations

Useful iterations: 7 (269.0ms)

IterNodesCost
01213
12213
24513
39713
418613
530613
646113
768711
8121011
9330811
done500111

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x z) y)
0.0b
(+ (* (+ 0.25 (/ (- x z) y)) 4.0) 1.0)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×pow1 associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg flip3-+ div-sub div-exp clear-num sum-log flip-- flip-+ div-inv
Counts
2 → 49
Calls
2 calls:
7.0ms
(/ (- x z) y)
14.0ms
(+ (* (+ 0.25 (/ (- x z) y)) 4.0) 1.0)

series58.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (- x z) y)
31.0ms
(+ (* (+ 0.25 (/ (- x z) y)) 4.0) 1.0)

simplify1.0s

Counts
55 → 55
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0105660
1255636
2619594
31921574
done5000573

prune124.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 4.0 (/ (- x z) y)) 2.0)
0.0b
(/ (- x z) y)
0.0b
(* 4.0 (/ (- x z) y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
5.0ms
(+ (* 4.0 (/ (- x z) y)) 2.0)
7.0ms
(/ (- x z) y)
14.0ms
(* 4.0 (/ (- x z) y))

series98.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* 4.0 (/ (- x z) y)) 2.0)
27.0ms
(/ (- x z) y)
44.0ms
(* 4.0 (/ (- x z) y))

simplify1.8s

Counts
96 → 96
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01371051
1346974
2977896
33703890
done5000889

prune189.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
19.0ms
(* (cbrt (- x z)) (cbrt (- x z)))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))

series595.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (cbrt (- x z)) (cbrt (- x z)))
151.0ms
(cbrt (- x z))
155.0ms
(cbrt (- x z))
156.0ms
(cbrt (- x z))

simplify2.4s

Counts
113 → 113
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
01311384
12611293
26241223
315661130
444531080
done50001080

prune285.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample605.0ms

Algorithm
intervals
Results
359.0ms10075×body80valid