Details

Time bar (total: 12.8s)

sample21.0ms

Algorithm
intervals
Results
8.0ms317×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2197
3287
4397
5967
62207
76077
820307
done50017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) z)
0.0b
(+ x (/ (- y x) z))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×fma-def associate-/r*
2×pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/
1×cbrt-undiv +-commutative associate-+r- flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ div-inv distribute-lft-out
Counts
2 → 58
Calls
2 calls:
40.0ms
(/ (- y x) z)
28.0ms
(+ x (/ (- y x) z))

series74.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (- y x) z)
41.0ms
(+ x (/ (- y x) z))

simplify660.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (152.0ms)

IterNodesCost
098616
1239570
2949546
done5000546

prune194.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (- y x))
0.0b
(+ x (/ 1 (/ z (- y x))))
0.3b
(/ 1 (/ z (- y x)))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
107×*-un-lft-identity
104×add-sqr-sqrt
72×add-cube-cbrt
26×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube
8×div-exp
7×div-inv
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u fma-def log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
3 → 167
Calls
3 calls:
23.0ms
(/ z (- y x))
85.0ms
(+ x (/ 1 (/ z (- y x))))
23.0ms
(/ 1 (/ z (- y x)))

series116.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ z (- y x))
33.0ms
(+ x (/ 1 (/ z (- y x))))
49.0ms
(/ 1 (/ z (- y x)))

simplify2.0s

Counts
176 → 176
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02302358
15771987
236791906
done50011902

prune357.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ 1 z) (- y x)))
0.3b
(* (/ 1 z) (- y x))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
36×prod-diff
35×add-cube-cbrt
22×distribute-rgt-in associate-+r+ distribute-lft-in
13×associate-*l*
11×add-exp-log times-frac
7×add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg prod-exp add-log-exp
3×fma-def unswap-sqr
2×expm1-log1p-u frac-times flip3-- associate-*r/ div-exp flip-- cbrt-unprod log1p-expm1-u
1×cbrt-undiv +-commutative rec-exp flip3-+ 1-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 103
Calls
2 calls:
17.0ms
(+ x (* (/ 1 z) (- y x)))
72.0ms
(* (/ 1 z) (- y x))

series78.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ x (* (/ 1 z) (- y x)))
37.0ms
(* (/ 1 z) (- y x))

simplify2.7s

Counts
109 → 109
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01911652
15271381
22854951
done5001903

prune281.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
0.6b
(cbrt (/ 1 z))
0.6b
(cbrt (/ 1 z))
0.6b
(cbrt (/ 1 z))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
119×cbrt-prod
97×add-sqr-sqrt
79×times-frac
67×*-un-lft-identity
57×add-cube-cbrt
18×swap-sqr
16×associate-*r* associate-*l* unswap-sqr
11×pow1
9×pow1/3 div-inv
7×cbrt-div
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 161
Calls
4 calls:
31.0ms
(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
5.0ms
(cbrt (/ 1 z))
5.0ms
(cbrt (/ 1 z))
5.0ms
(cbrt (/ 1 z))

series1.5s

Counts
4 → 12
Calls
4 calls:
251.0ms
(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
302.0ms
(cbrt (/ 1 z))
676.0ms
(cbrt (/ 1 z))
269.0ms
(cbrt (/ 1 z))

simplify1.3s

Counts
173 → 173
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01432040
12551591
29791549
done50011529

prune507.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample946.0ms

Algorithm
intervals
Results
424.0ms10001×body80valid