Details

Time bar (total: 9.6s)

sample17.0ms

Algorithm
intervals
Results
5.0ms300×body80valid

simplify53.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2247
3527
4817
5877
done877

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
3×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
19.0ms
(* x (- 1.0 (* y z)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(* x (- 1.0 (* y z)))

simplify997.0ms

Counts
35 → 35
Iterations

Useful iterations: done (996.0ms)

IterNodesCost
070405
1151402
2392352
31409343
done5000307

prune70.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.2b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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*
2×expm1-log1p-u log1p-expm1-u
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-out fma-def distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 41
Calls
2 calls:
8.0ms
(+ (* 1.0 x) (* (- (* y z)) x))
14.0ms
(* (- (* y z)) x)

series87.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ (* 1.0 x) (* (- (* y z)) x))
26.0ms
(* (- (* y z)) x)

simplify1.3s

Counts
47 → 47
Iterations

Useful iterations: done (1.3s)

IterNodesCost
070457
1192378
2902351
done5000348

prune112.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite34.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 99
Calls
4 calls:
24.0ms
(* (cbrt (- (* y z))) (cbrt (- (* y z))))
2.0ms
(cbrt (- (* y z)))
2.0ms
(cbrt (- (* y z)))
2.0ms
(cbrt (- (* y z)))

series432.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(* (cbrt (- (* y z))) (cbrt (- (* y z))))
99.0ms
(cbrt (- (* y z)))
97.0ms
(cbrt (- (* y z)))
98.0ms
(cbrt (- (* y z)))

simplify2.4s

Counts
111 → 111
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01141258
12381162
26251080
31523979
44040928
done5001848

prune322.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
2.3b
(cbrt (- 1.0 (* y z)))
2.3b
(cbrt (- 1.0 (* y z)))
2.3b
(cbrt (- 1.0 (* y z)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
30.0ms
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
3.0ms
(cbrt (- 1.0 (* y z)))
3.0ms
(cbrt (- 1.0 (* y z)))
3.0ms
(cbrt (- 1.0 (* y z)))

series938.0ms

Counts
4 → 12
Calls
4 calls:
235.0ms
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
237.0ms
(cbrt (- 1.0 (* y z)))
232.0ms
(cbrt (- 1.0 (* y z)))
234.0ms
(cbrt (- 1.0 (* y z)))

simplify1.7s

Counts
107 → 107
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01522108
13701928
211941787
344341474
done50001473

prune310.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes182.0ms

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
13126
24326
34726
done4726

end0.0ms

sample452.0ms

Algorithm
intervals
Results
180.0ms9639×body80valid