Details

Time bar (total: 12.0s)

sample27.0ms

Algorithm
intervals
Results
10.0ms317×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2267
3627
41617
52837
63977
75597
87367
911797
1013797
1114067
done14067

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
18×prod-diff
15×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r*
4×frac-times associate-*l*
3×pow1 add-exp-log flip3-- flip3-+ add-cbrt-cube flip-- flip-+
2×sub-neg associate-*r/ associate-*l/
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 53
Calls
1 calls:
43.0ms
(* (+ x y) (- 1.0 z))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* (+ x y) (- 1.0 z))

simplify1.2s

Counts
56 → 56
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01341028
1374845
21178725
done5000700

prune138.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt flip3-+ associate-*l/ flip-+
4×pow1 add-exp-log associate-*r/ associate-*l* frac-add add-cbrt-cube add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-rgt-neg-out
2×expm1-log1p-u associate-+l+ log1p-expm1-u
1×+-commutative distribute-rgt-in neg-mul-1 fma-def distribute-lft-in unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 53
Calls
2 calls:
16.0ms
(+ (* 1.0 (+ x y)) (* (+ x y) (- z)))
41.0ms
(* (+ x y) (- z))

series121.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(+ (* 1.0 (+ x y)) (* (+ x y) (- z)))
59.0ms
(* (+ x y) (- z))

simplify1.4s

Counts
59 → 59
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0116791
1361709
21574615
done5000613

prune148.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ x y) (- z))) (cbrt (* (+ x y) (- z))))
3.1b
(cbrt (* (+ x y) (- z)))
3.1b
(cbrt (* (+ x y) (- z)))
3.1b
(cbrt (* (+ x y) (- z)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
32.0ms
(* (cbrt (* (+ x y) (- z))) (cbrt (* (+ x y) (- z))))
15.0ms
(cbrt (* (+ x y) (- z)))
9.0ms
(cbrt (* (+ x y) (- z)))
13.0ms
(cbrt (* (+ x y) (- z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
337.0ms
(* (cbrt (* (+ x y) (- z))) (cbrt (* (+ x y) (- z))))
245.0ms
(cbrt (* (+ x y) (- z)))
204.0ms
(cbrt (* (+ x y) (- z)))
252.0ms
(cbrt (* (+ x y) (- z)))

simplify2.2s

Counts
92 → 92
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01561538
13731416
210361297
332481177
done50011119

prune397.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11512
21912
32412
done2412

end0.0ms

sample867.0ms

Algorithm
intervals
Results
394.0ms10113×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid