Details

Time bar (total: 10.6s)

sample25.0ms

Algorithm
intervals
Results
10.0ms295×body80valid

simplify57.0ms

Counts
1 → 1
Iterations
IterNodes
done89
589
483
352
224
111
07

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize12.0ms

Local error

Found 1 expressions with local error:

2.5b
(* x (- 1.0 (* y z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in *-un-lft-identity distribute-lft-in add-cube-cbrt
3×pow1 add-cbrt-cube associate-*r* associate-*l* add-exp-log
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u flip-- add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
23.0ms
(* x (- 1.0 (* y z)))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(* x (- 1.0 (* y z)))

simplify2.5s

Counts
35 → 35
Iterations
IterNodes
done5000
34073
2674
1168
070

prune162.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.5b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (- x) (* y z)))
5.9b
(* (- x) (* y z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l*
7×pow1 add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×add-log-exp
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative neg-mul-1 sum-log fma-def flip3-+ associate-*r* unsub-neg *-commutative flip-+
Counts
2 → 44
Calls
2 calls:
10.0ms
(+ (* x 1.0) (* (- x) (* y z)))
21.0ms
(* (- x) (* y z))

series116.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(+ (* x 1.0) (* (- x) (* y z)))
36.0ms
(* (- x) (* y z))

simplify821.0ms

Counts
50 → 50
Iterations
IterNodes
done5000
21159
1223
078

prune244.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(* (cbrt x) (cbrt x))
2.5b
(* (* y z) (cbrt x))
3.6b
(* (- (* (cbrt x) (cbrt x))) (* (* y z) (cbrt x)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1
24×add-sqr-sqrt
22×cbrt-prod
20×add-exp-log
16×*-un-lft-identity add-cube-cbrt
14×add-cbrt-cube
13×associate-*r* associate-*l*
11×pow-prod-down
10×prod-exp cbrt-unprod
7×pow1/3
6×swap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×distribute-lft-neg-out pow2 distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow-plus
Counts
4 → 105
Calls
4 calls:
1.0ms
(cbrt x)
9.0ms
(* (cbrt x) (cbrt x))
15.0ms
(* (* y z) (cbrt x))
47.0ms
(* (- (* (cbrt x) (cbrt x))) (* (* y z) (cbrt x)))

series629.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt x)
279.0ms
(* (cbrt x) (cbrt x))
108.0ms
(* (* y z) (cbrt x))
54.0ms
(* (- (* (cbrt x) (cbrt x))) (* (* y z) (cbrt x)))

simplify1.4s

Counts
117 → 117
Iterations
IterNodes
done5002
22527
1358
0136

prune529.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.6b
(cbrt (- 1.0 (* y z)))
2.6b
(cbrt (- 1.0 (* y z)))
2.6b
(cbrt (- 1.0 (* y z)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×cbrt-prod add-sqr-sqrt pow1 flip3-- add-exp-log flip--
8×*-un-lft-identity add-cube-cbrt
7×add-cbrt-cube
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 74
Calls
4 calls:
47.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
5.0ms
(cbrt (- 1.0 (* y z)))
5.0ms
(cbrt (- 1.0 (* y z)))
5.0ms
(cbrt (- 1.0 (* y z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
141.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
322.0ms
(cbrt (- 1.0 (* y z)))
304.0ms
(cbrt (- 1.0 (* y z)))
279.0ms
(cbrt (- 1.0 (* y z)))

simplify673.0ms

Counts
86 → 86
Iterations
IterNodes
done5001
21268
1354
0139

prune663.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes602.0ms

Accuracy

97.2% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.2b

bsearch2.0ms

simplify7.0ms

Iterations
IterNodes
done53
353
244
133
019

end0.0ms

sample691.0ms

Algorithm
intervals
Results
356.0ms9682×body80valid