Details

Time bar (total: 11.4s)

sample25.0ms

Algorithm
intervals
Results
9.0ms317×body80valid

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5000
64079
5803
4229
384
234
114
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
9×*-un-lft-identity
8×associate-*l*
7×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r*
5×add-log-exp
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod unswap-sqr
1×diff-log distribute-lft-out-- difference-of-squares
Counts
3 → 58
Calls
3 calls:
9.0ms
(- 1.0 (* (- 1.0 y) z))
34.0ms
(* (- 1.0 y) z)
29.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(- 1.0 (* (- 1.0 y) z))
34.0ms
(* (- 1.0 y) z)
70.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify613.0ms

Counts
67 → 67
Iterations
IterNodes
done5001
2951
1248
0102

prune340.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.7b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y 1.0))
0.0b
(+ (* x 1.0) (* x (* z (- y 1.0))))
3.7b
(* x (* z (- y 1.0)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
18×distribute-rgt-in distribute-lft-in
10×add-sqr-sqrt pow1 sub-neg add-cbrt-cube add-exp-log
8×associate-+r+ *-un-lft-identity
6×associate-*r* associate-*l* associate-*r/ add-cube-cbrt
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative sum-log flip3-+ flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 74
Calls
3 calls:
34.0ms
(* z (- y 1.0))
16.0ms
(+ (* x 1.0) (* x (* z (- y 1.0))))
48.0ms
(* x (* z (- y 1.0)))

series212.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* z (- y 1.0))
111.0ms
(+ (* x 1.0) (* x (* z (- y 1.0))))
65.0ms
(* x (* z (- y 1.0)))

simplify792.0ms

Counts
83 → 83
Iterations
IterNodes
done5000
21184
1317
0116

prune350.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log add-log-exp
4×distribute-rgt-neg-out
3×add-sqr-sqrt sum-log *-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×associate-+r-
1×+-commutative associate-+r+ flip3-+ associate-*r* unsub-neg *-commutative flip-+
Counts
2 → 33
Calls
2 calls:
51.0ms
(+ (* x 1.0) (+ (* y (* z x)) (* x (* 1.0 (- z)))))
16.0ms
(* y (* z x))

series123.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(+ (* x 1.0) (+ (* y (* z x)) (* x (* 1.0 (- z)))))
33.0ms
(* y (* z x))

simplify799.0ms

Counts
39 → 39
Iterations
IterNodes
done5000
21073
1216
076

prune179.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.6b
(* (- 1.0 (* z (- 1.0 y))) (cbrt x))
2.4b
(* (* (cbrt x) (cbrt x)) (* (- 1.0 (* z (- 1.0 y))) (cbrt x)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×*-un-lft-identity pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
7×associate-*r*
4×associate-*l* associate-*l/ add-log-exp
2×flip3-- pow1/3 associate-*r/ *-commutative flip-- unswap-sqr
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
29.0ms
(* (- 1.0 (* z (- 1.0 y))) (cbrt x))
55.0ms
(* (* (cbrt x) (cbrt x)) (* (- 1.0 (* z (- 1.0 y))) (cbrt x)))

series883.0ms

Counts
4 → 12
Calls
4 calls:
300.0ms
(cbrt x)
321.0ms
(cbrt x)
167.0ms
(* (- 1.0 (* z (- 1.0 y))) (cbrt x))
95.0ms
(* (* (cbrt x) (cbrt x)) (* (- 1.0 (* z (- 1.0 y))) (cbrt x)))

simplify816.0ms

Counts
82 → 82
Iterations
IterNodes
done5001
21425
1316
0112

prune408.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes462.0ms

Accuracy

93.9% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.4b

bsearch144.0ms

Steps
ItersRangePoint
10
2.024262335258138e-48
6.903866848428764e-37
4.0641781638988535e-41
6
-496427297.3881253
-39557031.28023394
-125543025.69646199

simplify16.0ms

Iterations
IterNodes
done49
349
245
137
022

end0.0ms

sample1.5s

Algorithm
intervals
Results
970.0ms10084×body80valid