Details

Time bar (total: 10.6s)

sample55.0ms

Algorithm
intervals
Results
25.0ms321×body80valid

simplify88.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11612
22912
34212
44912
55512
66112
76312
done6312

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.7b
(* (/ x y) z)

rewrite163.0ms

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-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 117
Calls
3 calls:
40.0ms
(/ (+ x 4.0) y)
88.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
28.0ms
(* (/ x y) z)

series152.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (+ x 4.0) y)
76.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
24.0ms
(* (/ x y) z)

simplify2.2s

Counts
126 → 126
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01651542
14121481
220911348
done50001303

prune451.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.7b
(fma (/ x y) (- 1 z) (/ 4.0 y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ x y) (- 1 z) (/ 4.0 y))

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(fma (/ x y) (- 1 z) (/ 4.0 y))

simplify479.0ms

Counts
13 → 13
Iterations

Useful iterations: done (478.0ms)

IterNodesCost
025184
146181
2109158
3516158
done5001149

prune47.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
7.9b
(cbrt (/ x y))
7.9b
(cbrt (/ x y))
7.9b
(cbrt (/ x y))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×pow1 add-exp-log
15×cbrt-div
10×add-cbrt-cube
9×associate-*l/
8×pow-prod-down prod-exp cbrt-unprod
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 103
Calls
4 calls:
57.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
8.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series235.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
71.0ms
(cbrt (/ x y))
68.0ms
(cbrt (/ x y))
72.0ms
(cbrt (/ x y))

simplify2.3s

Counts
115 → 115
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01251365
12691317
27731035
34222921
done5001891

prune462.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (* (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (cbrt (/ (cbrt x) (cbrt y)))) z))
2.1b
(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
7.9b
(cbrt (/ x y))
7.9b
(cbrt (/ x y))

rewrite255.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-div
31×cbrt-prod
25×pow1 add-exp-log
23×associate-*l/
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
17×frac-times
15×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
11×associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 109
Calls
4 calls:
233.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (* (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (cbrt (/ (cbrt x) (cbrt y)))) z))
10.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
2.0ms
(cbrt (/ x y))
4.0ms
(cbrt (/ x y))

series316.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (* (cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y)))) (cbrt (/ (cbrt x) (cbrt y)))) z))
104.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
90.0ms
(cbrt (/ x y))
97.0ms
(cbrt (/ x y))

simplify967.0ms

Counts
121 → 121
Iterations

Useful iterations: done (963.0ms)

IterNodesCost
01912532
14632474
216392091
done50012061

prune724.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes197.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample1.2s

Algorithm
intervals
Results
691.0ms10144×body80valid