Details

Time bar (total: 9.9s)

sample19.0ms

Algorithm
intervals
Results
7.0ms303×body80valid

simplify255.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07124
116124
244124
398124
4220124
5393124
6400124
done400124

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×flip3-+ flip-+
5×add-sqr-sqrt
4×frac-times associate-*r* associate-*l*
3×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
2×associate-*l/ associate-*r/ distribute-lft-out
1×distribute-rgt-in expm1-log1p-u distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
41.0ms
(* (+ x y) (+ z 1.0))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* (+ x y) (+ z 1.0))

simplify1.4s

Counts
35 → 35
Iterations

Useful iterations: done (1.3s)

IterNodesCost
08010123
12857996
213777831
done50027721

prune244.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 103
Calls
4 calls:
3.0ms
(cbrt (+ z 1.0))
3.0ms
(cbrt (+ z 1.0))
3.0ms
(cbrt (+ z 1.0))
57.0ms
(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))

series599.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(cbrt (+ z 1.0))
134.0ms
(cbrt (+ z 1.0))
168.0ms
(cbrt (+ z 1.0))
162.0ms
(* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))

simplify1.7s

Counts
115 → 115
Iterations

Useful iterations: done (1.7s)

IterNodesCost
014343035
134633866
2123533591
done500032181

prune749.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
9×add-cbrt-cube add-exp-log
8×frac-times associate-/l/
7×flip3-- flip--
6×flip3-+ add-cube-cbrt flip-+
5×associate-/r* times-frac
4×pow1 associate-*r* associate-*l* associate-*l/ associate-*r/
3×distribute-rgt-in distribute-lft-in difference-of-squares
2×expm1-log1p-u cbrt-undiv sub-neg div-exp prod-diff prod-exp associate-/r/ cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp
1×clear-num frac-2neg pow-prod-down *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 73
Calls
2 calls:
50.0ms
(* (+ x y) (- (* z z) (* 1.0 1.0)))
33.0ms
(/ (* (+ x y) (- (* z z) (* 1.0 1.0))) (- z 1.0))

series243.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(* (+ x y) (- (* z z) (* 1.0 1.0)))
148.0ms
(/ (* (+ x y) (- (* z z) (* 1.0 1.0))) (- z 1.0))

simplify2.9s

Counts
79 → 79
Iterations

Useful iterations: done (2.9s)

IterNodesCost
015728707
150924124
2329823682
done500023427

prune465.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes344.0ms

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
07124
110124
done10124

end0.0ms

sample766.0ms

Algorithm
intervals
Results
442.0ms10109×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid