Details

Time bar (total: 15.8s)

sample41.0ms

Algorithm
intervals
Results
14.0ms307×body80valid

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5000
64079
5803
4229
384
234
114
08

prune7.0ms

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)))

rewrite25.0ms

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:
24.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.4s

Counts
27 → 27
Iterations
IterNodes
done5000
32660
2526
1150
056

prune144.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite42.0ms

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:
8.0ms
(+ (* x 1.0) (* (* z x) (- y 1.0)))
33.0ms
(* (* z x) (- y 1.0))

series154.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(+ (* x 1.0) (* (* z x) (- y 1.0)))
65.0ms
(* (* z x) (- y 1.0))

simplify1.4s

Counts
47 → 47
Iterations
IterNodes
done5000
21613
1269
091

prune200.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize25.0ms

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))))

rewrite447.0ms

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:
6.0ms
(cbrt (- y 1.0))
61.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
302.0ms
(* (* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
64.0ms
(* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series592.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(cbrt (- y 1.0))
161.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
83.0ms
(* (* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
221.0ms
(* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify2.4s

Counts
171 → 171
Iterations
IterNodes
done5001
24107
1826
0289

prune786.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite420.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*l/
35×flip3-- flip--
32×frac-times pow1 add-exp-log
20×cbrt-prod
19×add-sqr-sqrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
17×associate-*l*
16×add-cbrt-cube
11×add-cube-cbrt
10×associate-*r* associate-*r/
4×distribute-lft-out-- add-log-exp difference-of-squares
3×*-commutative
1×pow1/3
Counts
4 → 129
Calls
4 calls:
6.0ms
(cbrt (- y 1.0))
40.0ms
(* (cbrt (- y 1.0)) (* z x))
272.0ms
(* (* (cbrt (- y 1.0)) (* (cbrt (- y 1.0)) (* z x))) (cbrt (- y 1.0)))
86.0ms
(* (cbrt (- y 1.0)) (* (cbrt (- y 1.0)) (* z x)))

series687.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (- y 1.0))
189.0ms
(* (cbrt (- y 1.0)) (* z x))
83.0ms
(* (* (cbrt (- y 1.0)) (* (cbrt (- y 1.0)) (* z x))) (cbrt (- y 1.0)))
260.0ms
(* (cbrt (- y 1.0)) (* (cbrt (- y 1.0)) (* z x)))

simplify1.8s

Counts
141 → 141
Iterations
IterNodes
done5000
22813
1695
0256

prune667.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes462.0ms

Accuracy

93.5% (0.1b remaining)

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

bsearch1.0ms

simplify4.0ms

Iterations
IterNodes
done31
131
022

end0.0ms

sample1.0s

Algorithm
intervals
Results
487.0ms10171×body80valid