Details

Time bar (total: 11.5s)

sample20.0ms

Algorithm
intervals
Results
8.0ms306×body80valid

simplify46.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2247
3467
4677
5717
done717

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
4.8b
(* x (- 1.0 (* y z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
6.0ms
(- 1.0 (* y z))
18.0ms
(* x (- 1.0 (* y z)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- 1.0 (* y z))
57.0ms
(* x (- 1.0 (* y z)))

simplify1.6s

Counts
42 → 42
Iterations

Useful iterations: 3 (629.0ms)

IterNodesCost
060399
1155391
2654351
32979349
done5000349

prune87.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* x (- (* y z))))
7.5b
(* x (- (* y z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*l* distribute-rgt-neg-out
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:
17.0ms
(+ (* 1.0 x) (* x (- (* y z))))
17.0ms
(* x (- (* y z)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ (* 1.0 x) (* x (- (* y z))))
29.0ms
(* x (- (* y z)))

simplify882.0ms

Counts
41 → 41
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
066413
1188373
21115319
done5001319

prune139.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
3.6b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))
4.0b
(* (cbrt x) (- (* y z)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*r* associate-*l*
4×add-log-exp
3×distribute-rgt-neg-out
2×pow1/3 *-commutative unswap-sqr
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
71.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))
21.0ms
(* (cbrt x) (- (* y z)))

series687.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(cbrt x)
232.0ms
(cbrt x)
63.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z))))
163.0ms
(* (cbrt x) (- (* y z)))

simplify1.5s

Counts
83 → 83
Iterations

Useful iterations: done (1.5s)

IterNodesCost
089816
1256776
21775587
done5000504

prune282.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* y z))) (cbrt (- (* y z))))
12.5b
(cbrt (- (* y z)))
12.5b
(cbrt (- (* y z)))
12.5b
(cbrt (- (* y z)))

rewrite40.0ms

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:
24.0ms
(* (cbrt (- (* y z))) (cbrt (- (* y z))))
2.0ms
(cbrt (- (* y z)))
2.0ms
(cbrt (- (* y z)))
8.0ms
(cbrt (- (* y z)))

series564.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt (- (* y z))) (cbrt (- (* y z))))
114.0ms
(cbrt (- (* y z)))
120.0ms
(cbrt (- (* y z)))
134.0ms
(cbrt (- (* y z)))

simplify3.8s

Counts
103 → 103
Iterations

Useful iterations: done (3.8s)

IterNodesCost
01101198
12511102
28661020
34312925
done5000904

prune423.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes164.0ms

Accuracy

89% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.5b

bsearch2.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01942
13633
24633
35233
done5233

end0.0ms

sample858.0ms

Algorithm
intervals
Results
364.0ms9642×body80valid