Details

Time bar (total: 10.9s)

sample34.0ms

Algorithm
intervals
Results
13.0ms302×body80valid
0.0ms1×body1280valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07124
111124
226124
356124
4137124
5332124
6703124
7859124
81165124
93121124
done5001124

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
5×associate-*r*
4×frac-times associate-*l*
3×pow1 flip3-+ flip3-- add-cbrt-cube add-exp-log add-cube-cbrt flip-+ flip--
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 33
Calls
1 calls:
42.0ms
(* (+ x y) (- 1.0 z))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(* (+ x y) (- 1.0 z))

simplify1.1s

Counts
36 → 36
Iterations

Useful iterations: done (1.1s)

IterNodesCost
08410411
12498494
211258414
done50028334

prune196.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
0.2b
(cbrt (- 1.0 z))
0.2b
(cbrt (- 1.0 z))
0.2b
(cbrt (- 1.0 z))

rewrite77.0ms

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×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
63.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
3.0ms
(cbrt (- 1.0 z))
3.0ms
(cbrt (- 1.0 z))
3.0ms
(cbrt (- 1.0 z))

series535.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))
122.0ms
(cbrt (- 1.0 z))
124.0ms
(cbrt (- 1.0 z))
141.0ms
(cbrt (- 1.0 z))

simplify1.5s

Counts
113 → 113
Iterations

Useful iterations: done (1.5s)

IterNodesCost
014843762
134234945
2122034825
done500134025

prune687.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

1.7b
(* (+ x y) (- (* 1.0 1.0) (* z z)))
10.6b
(/ (* (+ x y) (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt frac-times associate-/l/
7×flip3-+ flip-+
6×flip3-- add-cube-cbrt flip--
4×pow1 associate-/r* times-frac associate-*r* associate-*l* associate-*l/ associate-*r/
3×distribute-lft-out
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod add-log-exp
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* difference-of-squares unswap-sqr
Counts
2 → 65
Calls
2 calls:
45.0ms
(* (+ x y) (- (* 1.0 1.0) (* z z)))
50.0ms
(/ (* (+ x y) (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

series195.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* (+ x y) (- (* 1.0 1.0) (* z z)))
116.0ms
(/ (* (+ x y) (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

simplify2.3s

Counts
71 → 71
Iterations

Useful iterations: done (2.3s)

IterNodesCost
013625647
146122434
2307821272
done500021032

prune839.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes355.0ms

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 (1.0ms)

IterNodesCost
07124
19124
done9124

end0.0ms

sample816.0ms

Algorithm
intervals
Results
446.0ms10110×body80valid
0.0ms1×body1280valid