Details

Time bar (total: 11.9s)

sample32.0ms

Algorithm
intervals
Results
13.0ms300×body80valid

simplify78.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2247
3467
4637
5677
done677

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize5.0ms

Local error

Found 1 expressions with local error:

2.3b
(* x (- 1.0 (* y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
18.0ms
(* x (- 1.0 (* y z)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* x (- 1.0 (* y z)))

simplify1.2s

Counts
27 → 27
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
051267
1122264
2341232
31246232
done5001232

prune58.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (- (* y z)) x))
5.8b
(* (- (* y z)) x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*l*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×distribute-lft-neg-out associate-*r*
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 35
Calls
2 calls:
7.0ms
(+ (* x 1.0) (* (- (* y z)) x))
10.0ms
(* (- (* y z)) x)

series90.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(+ (* x 1.0) (* (- (* y z)) x))
27.0ms
(* (- (* y z)) x)

simplify4.5s

Counts
41 → 41
Iterations

Useful iterations: done (4.5s)

IterNodesCost
066415
1177375
2822318
34596313
done5001311

prune84.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* y z))) (cbrt (- (* y z))))
13.2b
(cbrt (- (* y z)))
13.2b
(cbrt (- (* y z)))
13.2b
(cbrt (- (* y z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
46×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l*
7×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
20.0ms
(* (cbrt (- (* y z))) (cbrt (- (* y z))))
2.0ms
(cbrt (- (* y z)))
2.0ms
(cbrt (- (* y z)))
2.0ms
(cbrt (- (* y z)))

series443.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(* (cbrt (- (* y z))) (cbrt (- (* y z))))
99.0ms
(cbrt (- (* y z)))
99.0ms
(cbrt (- (* y z)))
102.0ms
(cbrt (- (* y z)))

simplify2.4s

Counts
103 → 103
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01101198
12311102
25991020
31455925
43946874
done5000796

prune275.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
1.5b
(* (cbrt x) (- 1.0 (* y z)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×sub-neg associate-*r/
4×associate-*r* add-log-exp
2×flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
46.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
21.0ms
(* (cbrt x) (- 1.0 (* y z)))

series660.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt x)
190.0ms
(cbrt x)
79.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))
193.0ms
(* (cbrt x) (- 1.0 (* y z)))

simplify1.2s

Counts
94 → 94
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01101159
12921133
21113831
done5000701

prune145.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

47.2% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01626
13426
24426
34626
done4626

end0.0ms

sample422.0ms

Algorithm
intervals
Results
175.0ms9639×body80valid