Details

Time bar (total: 4.7s)

sample19.0ms

Algorithm
intervals
Results
7.0ms336×body80valid

simplify211.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1344
2844
32064
44064
55404
67064
79574
814584
923844
1036584
1140314
1244294
1350024
done50024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.4b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
24.0ms
(* (- 1.0 y) z)
17.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- 1.0 y) z)
49.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify99.0ms

Counts
52 → 52
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0211251
1863221
23970215
35001215
done5001215

prune90.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.6b
(* (* x z) (- y 1.0))

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
17.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
235.0ms
(* (* x z) (- y 1.0))

series114.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
51.0ms
(* (* x z) (- y 1.0))

simplify49.0ms

Counts
47 → 47
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0257266
11177224
25002219
done5002219

prune92.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.3b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.7b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
3.0b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite341.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
44×associate-*r/
41×pow1
40×flip3-- flip--
38×cbrt-prod
36×add-exp-log frac-times
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:
4.0ms
(cbrt (- y 1.0))
37.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
227.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
62.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series436.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(cbrt (- y 1.0))
113.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
71.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
161.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify105.0ms

Counts
171 → 171
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
07871899
133051673
250021575
done50021575

prune384.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
0.4b
(pow (cbrt (cbrt (- y 1.0))) 4)
0.7b
(* (* (* x z) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (pow (cbrt (cbrt (- y 1.0))) 4))) (cbrt (- y 1.0)))
3.0b
(* (* x z) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (pow (cbrt (cbrt (- y 1.0))) 4)))

rewrite418.0ms

Algorithm
rewrite-expression-head
Rules
118×cbrt-div
63×add-exp-log
50×associate-*l/
45×prod-exp
44×associate-*r/
39×flip3-- flip--
36×frac-times
25×add-cbrt-cube
21×cbrt-unprod
19×pow1 cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
11×unpow-prod-down
10×add-cube-cbrt
9×associate-*r* pow-prod-down
5×pow-to-exp pow-exp
4×add-log-exp
3×pow-unpow
2×pow-pow pow1/3 associate-*l* *-commutative distribute-lft-out-- difference-of-squares
1×sqr-pow
Counts
4 → 135
Calls
4 calls:
14.0ms
(cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
11.0ms
(pow (cbrt (cbrt (- y 1.0))) 4)
286.0ms
(* (* (* x z) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (pow (cbrt (cbrt (- y 1.0))) 4))) (cbrt (- y 1.0)))
97.0ms
(* (* x z) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (pow (cbrt (cbrt (- y 1.0))) 4)))

series571.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))
193.0ms
(pow (cbrt (cbrt (- y 1.0))) 4)
72.0ms
(* (* (* x z) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (pow (cbrt (cbrt (- y 1.0))) 4))) (cbrt (- y 1.0)))
163.0ms
(* (* x z) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (pow (cbrt (cbrt (- y 1.0))) 4)))

simplify104.0ms

Counts
147 → 147
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
09252532
135022286
250012267
done50012267

prune506.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes291.0ms

Accuracy

92.6% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03817
14217
24917
34917
done4917

end0.0ms

sample470.0ms

Algorithm
intervals
Results
202.0ms10164×body80valid