Details

Time bar (total: 36.9s)

sample1.5s

Algorithm
intervals
Results
101.0ms317×body80valid

simplify361.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (124.0ms)

IterNodesCost
055
175
2155
done155

prune153.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite1.9s

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
1.8s
(* (+ x y) z)

series440.0ms

Counts
1 → 3
Calls
1 calls:
440.0ms
(* (+ x y) z)

simplify2.6s

Counts
24 → 24
Iterations

Useful iterations: 2 (424.0ms)

IterNodesCost
045178
1111175
2499151
done5000151

prune382.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize404.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

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:
26.0ms
(* (cbrt z) (cbrt z))
3.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series5.4s

Counts
4 → 12
Calls
4 calls:
1.2s
(* (cbrt z) (cbrt z))
1.7s
(cbrt z)
1.2s
(cbrt z)
1.3s
(cbrt z)

simplify6.5s

Counts
85 → 85
Iterations

Useful iterations: done (6.4s)

IterNodesCost
061524
1139417
2735397
done5000383

prune843.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sqrt (+ x y)) z)
0.2b
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div associate-*l*
11×add-sqr-sqrt *-un-lft-identity
10×associate-*l/
9×pow1 add-exp-log sqrt-prod add-cbrt-cube
7×add-cube-cbrt flip3-+ flip-+
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ *-commutative distribute-lft-out add-log-exp unswap-sqr
Counts
2 → 55
Calls
2 calls:
57.0ms
(* (sqrt (+ x y)) z)
108.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

series405.0ms

Counts
2 → 6
Calls
2 calls:
281.0ms
(* (sqrt (+ x y)) z)
124.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

simplify2.7s

Counts
61 → 61
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0106831
1271763
21058567
done5001559

prune337.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize242.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sqrt z) (+ x y))
0.2b
(* (* (sqrt z) (+ x y)) (sqrt z))

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×associate-*r*
9×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×add-cube-cbrt associate-*l* sqrt-prod
4×associate-*r/ pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-*l/ *-commutative flip-+ add-log-exp unswap-sqr
1×distribute-rgt-in distribute-lft-in distribute-lft-out
Counts
2 → 50
Calls
2 calls:
84.0ms
(* (sqrt z) (+ x y))
133.0ms
(* (* (sqrt z) (+ x y)) (sqrt z))

series518.0ms

Counts
2 → 6
Calls
2 calls:
289.0ms
(* (sqrt z) (+ x y))
229.0ms
(* (* (sqrt z) (+ x y)) (sqrt z))

simplify5.3s

Counts
56 → 56
Iterations

Useful iterations: done (5.2s)

IterNodesCost
097618
1293578
21583464
done5000444

prune713.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes960.0ms

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
055
175
done75

end0.0ms

sample4.8s

Algorithm
intervals
Results
2.9s10112×body80valid