Details

Time bar (total: 13.8s)

sample53.0ms

Algorithm
intervals
Results
28.0ms308×body80valid

simplify60.0ms

Counts
1 → 1
Iterations
IterNodes
done63
763
661
555
449
342
229
116
010

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.6b
(* (/ x y) z)

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-cbrt-cube add-exp-log distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*r* associate-*l/ log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 117
Calls
3 calls:
29.0ms
(/ (+ x 4.0) y)
62.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
17.0ms
(* (/ x y) z)

series160.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (+ x 4.0) y)
81.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
38.0ms
(* (/ x y) z)

simplify1.9s

Counts
126 → 126
Iterations
IterNodes
done5001
22049
1411
0165

prune774.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (- (/ 4.0 y) (* z (/ x y))))
0.0b
(- (/ 4.0 y) (* z (/ x y)))
2.6b
(* z (/ x y))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
44×add-sqr-sqrt
41×*-un-lft-identity
39×add-cube-cbrt
26×prod-diff
15×associate-+r+
13×fma-def fma-neg associate-*r*
10×add-log-exp
8×add-cbrt-cube add-exp-log
5×pow1 associate-*r/ div-inv
4×frac-add
3×expm1-log1p-u associate-*l* log1p-expm1-u
2×sum-log sub-neg flip3-- diff-log prod-exp frac-sub cbrt-unprod flip-- sub-div unswap-sqr
1×cbrt-undiv +-commutative associate-+r- flip3-+ div-exp pow-prod-down *-commutative flip-+ distribute-lft-out
Counts
3 → 124
Calls
3 calls:
60.0ms
(+ (/ x y) (- (/ 4.0 y) (* z (/ x y))))
25.0ms
(- (/ 4.0 y) (* z (/ x y)))
21.0ms
(* z (/ x y))

series183.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(+ (/ x y) (- (/ 4.0 y) (* z (/ x y))))
61.0ms
(- (/ 4.0 y) (* z (/ x y)))
36.0ms
(* z (/ x y))

simplify1.6s

Counts
133 → 133
Iterations
IterNodes
done5000
21888
1510
0192

prune911.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.0b
(* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) z)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
9×cbrt-prod add-sqr-sqrt pow1 prod-exp cbrt-unprod
8×*-un-lft-identity add-cube-cbrt
4×expm1-log1p-u cbrt-undiv div-exp associate-*l/ log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* pow-prod-down
1×frac-times associate-*l* associate-*r/ *-commutative unswap-sqr
Counts
4 → 69
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
54.0ms
(* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) z)

series963.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(cbrt x)
290.0ms
(cbrt x)
225.0ms
(cbrt x)
206.0ms
(* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) z)

simplify1.5s

Counts
81 → 81
Iterations
IterNodes
done5000
21482
1295
0111

prune613.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize107.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.0b
(* (* (/ (cbrt x) (cbrt y)) (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (cbrt y))) z)

rewrite384.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
24×add-cbrt-cube
23×prod-exp cbrt-unprod
10×cbrt-undiv div-exp
9×cbrt-prod pow1
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* pow-prod-down
1×frac-times associate-*l* associate-*r/ *-commutative
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
377.0ms
(* (* (/ (cbrt x) (cbrt y)) (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (cbrt y))) z)

series846.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(cbrt x)
196.0ms
(cbrt x)
215.0ms
(cbrt x)
209.0ms
(* (* (/ (cbrt x) (cbrt y)) (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (cbrt y))) z)

simplify1.7s

Counts
88 → 88
Iterations
IterNodes
done5000
22039
1440
0150

prune490.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes206.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done18
118
015

end0.0ms

sample905.0ms

Algorithm
intervals
Results
597.0ms10103×body80valid