Details

Time bar (total: 10.9s)

sample20.0ms

Algorithm
intervals
Results
8.0ms307×body80valid

simplify2.7s

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

prune8.0ms

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)))

rewrite17.0ms

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:
16.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.1s

Counts
27 → 27
Iterations
IterNodes
done5000
32660
2526
1150
056

prune125.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (* 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
(+ (* 1.0 x) (* (* z x) (- y 1.0)))
24.0ms
(* (* z x) (- y 1.0))

series133.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(+ (* 1.0 x) (* (* z x) (- y 1.0)))
50.0ms
(* (* z x) (- y 1.0))

simplify623.0ms

Counts
47 → 47
Iterations
IterNodes
done5001
21479
1268
090

prune156.0ms

Pruning

5 alts after pruning (3 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))))

rewrite272.0ms

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))
34.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
176.0ms
(* (* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
50.0ms
(* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series604.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(cbrt (- y 1.0))
162.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
71.0ms
(* (* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
219.0ms
(* (* z x) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify1.8s

Counts
171 → 171
Iterations
IterNodes
done5001
24107
1826
0289

prune753.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* y x) z) (* (- 1.0) (* z x)))
0.0b
(+ (* 1.0 x) (+ (* (* y x) z) (* (- 1.0) (* z x))))
6.2b
(* (* y x) z)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-cbrt-cube add-exp-log
4×distribute-lft-neg-out add-sqr-sqrt sum-log *-un-lft-identity add-cube-cbrt
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×+-commutative associate-+r- flip3-+ unsub-neg flip-+
1×associate-+r+ associate-*l* *-commutative
Counts
3 → 46
Calls
3 calls:
14.0ms
(+ (* (* y x) z) (* (- 1.0) (* z x)))
36.0ms
(+ (* 1.0 x) (+ (* (* y x) z) (* (- 1.0) (* z x))))
13.0ms
(* (* y x) z)

series221.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(+ (* (* y x) z) (* (- 1.0) (* z x)))
99.0ms
(+ (* 1.0 x) (+ (* (* y x) z) (* (- 1.0) (* z x))))
45.0ms
(* (* y x) z)

simplify752.0ms

Counts
55 → 55
Iterations
IterNodes
done5001
21647
1288
092

prune233.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes434.0ms

Accuracy

93.4% (0.1b remaining)

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

bsearch1.0ms

simplify7.0ms

Iterations
IterNodes
done49
349
242
138
025

end0.0ms

sample687.0ms

Algorithm
intervals
Results
393.0ms10171×body80valid