Details

Time bar (total: 16.9s)

sample20.0ms

Algorithm
intervals
Results
8.0ms307×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08164
114164
234164
384164
4229164
5803164
64079164
done5000164

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize10.0ms

Local error

Found 1 expressions with local error:

2.4b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-- add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
13.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series66.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.8s

Counts
27 → 27
Iterations

Useful iterations: 3 (733.0ms)

IterNodesCost
0566454
11506042
25265962
326605562
done50005562

prune96.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* z x) (- y 1.0)))
3.1b
(* (* z x) (- y 1.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in associate-+r+ sub-neg distribute-lft-in add-log-exp
3×pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×associate-*r/
1×+-commutative sum-log flip3-+ flip3-- associate-*l* *-commutative flip-+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
7.0ms
(+ (* x 1.0) (* (* z x) (- y 1.0)))
24.0ms
(* (* z x) (- y 1.0))

series139.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(+ (* x 1.0) (* (* z x) (- y 1.0)))
50.0ms
(* (* z x) (- y 1.0))

simplify1.3s

Counts
47 → 47
Iterations

Useful iterations: 2 (296.0ms)

IterNodesCost
09110923
12699959
216139239
done50009239

prune190.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.3b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
1.1b
(* (* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.1b
(* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite336.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
44×associate-*r/
41×pow1
40×flip3-- flip--
38×cbrt-prod
36×frac-times add-exp-log
35×add-sqr-sqrt
33×*-un-lft-identity
23×pow-prod-down
22×prod-exp cbrt-unprod
21×add-cbrt-cube
18×associate-*l/
17×associate-*r*
15×add-cube-cbrt
10×swap-sqr associate-*l*
8×distribute-lft-out--
7×pow1/3
6×difference-of-squares
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 159
Calls
4 calls:
5.0ms
(cbrt (- y 1.0))
48.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
225.0ms
(* (* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
49.0ms
(* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series653.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(cbrt (- y 1.0))
171.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
100.0ms
(* (* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
244.0ms
(* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify2.7s

Counts
171 → 171
Iterations

Useful iterations: done (2.6s)

IterNodesCost
028984547
182666289
2410765609
done500160809

prune732.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.8b
(* (* z x) (cbrt (- y 1.0)))
1.1b
(* (* (* (* z x) (cbrt (- y 1.0))) (cbrt (- y 1.0))) (cbrt (- y 1.0)))
1.4b
(* (* (* z x) (cbrt (- y 1.0))) (cbrt (- y 1.0)))

rewrite358.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
36×associate-*r/
35×flip3-- flip--
32×frac-times pow1 add-exp-log
24×associate-*r*
20×cbrt-prod
19×add-sqr-sqrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
16×add-cbrt-cube associate-*l/
11×add-cube-cbrt
4×distribute-lft-out-- add-log-exp difference-of-squares
3×associate-*l* *-commutative
1×pow1/3
Counts
4 → 129
Calls
4 calls:
3.0ms
(cbrt (- y 1.0))
21.0ms
(* (* z x) (cbrt (- y 1.0)))
245.0ms
(* (* (* (* z x) (cbrt (- y 1.0))) (cbrt (- y 1.0))) (cbrt (- y 1.0)))
83.0ms
(* (* (* z x) (cbrt (- y 1.0))) (cbrt (- y 1.0)))

series507.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(cbrt (- y 1.0))
136.0ms
(* (* z x) (cbrt (- y 1.0)))
84.0ms
(* (* (* (* z x) (cbrt (- y 1.0))) (cbrt (- y 1.0))) (cbrt (- y 1.0)))
192.0ms
(* (* (* z x) (cbrt (- y 1.0))) (cbrt (- y 1.0)))

simplify2.6s

Counts
141 → 141
Iterations

Useful iterations: done (2.6s)

IterNodesCost
026473479
175058106
2405957946
done500154746

prune855.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes438.0ms

Accuracy

93.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
022746
131746
done31746

end0.0ms

sample806.0ms

Algorithm
intervals
Results
434.0ms10171×body80valid