Details

Time bar (total: 9.6s)

sample16.0ms

Algorithm
intervals
Results
6.0ms322×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1117
2267
3617
41277
52277
63097
74677
86787
910487
1011757
1112027
done12027

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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:
19.0ms
(* (+ x y) (- 1.0 z))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* (+ x y) (- 1.0 z))

simplify1.0s

Counts
56 → 56
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01341028
1397845
21279725
done5000683

prune91.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:
6.0ms
(+ (* 1.0 (+ x y)) (* (+ x y) (- z)))
12.0ms
(* (+ x y) (- z))

series268.0ms

Counts
2 → 6
Calls
2 calls:
240.0ms
(+ (* 1.0 (+ x y)) (* (+ x y) (- z)))
28.0ms
(* (+ x y) (- z))

simplify729.0ms

Counts
59 → 59
Iterations

Useful iterations: done (728.0ms)

IterNodesCost
0116791
1359710
21477615
done5000578

prune128.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ x y) (- z))) (cbrt (* (+ x y) (- z))))
2.7b
(cbrt (* (+ x y) (- z)))
2.7b
(cbrt (* (+ x y) (- z)))
2.7b
(cbrt (* (+ x y) (- z)))

rewrite24.0ms

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:
10.0ms
(* (cbrt (* (+ x y) (- z))) (cbrt (* (+ x y) (- z))))
4.0ms
(cbrt (* (+ x y) (- z)))
4.0ms
(cbrt (* (+ x y) (- z)))
4.0ms
(cbrt (* (+ x y) (- z)))

series735.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(* (cbrt (* (+ x y) (- z))) (cbrt (* (+ x y) (- z))))
161.0ms
(cbrt (* (+ x y) (- z)))
157.0ms
(cbrt (* (+ x y) (- z)))
162.0ms
(cbrt (* (+ x y) (- z)))

simplify1.4s

Counts
92 → 92
Iterations

Useful iterations: 3 (608.0ms)

IterNodesCost
01561538
13731416
210581297
334271177
done50001177

prune311.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (- z))
0.6b
(cbrt (- z))
2.7b
(cbrt (* (+ x y) (- z)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
13×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
6×distribute-lft-neg-in distribute-rgt-neg-in
4×pow1 add-exp-log expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×neg-mul-1 flip3-+ associate-*l/ flip-+
1×distribute-lft-out
Counts
4 → 69
Calls
4 calls:
2.0ms
(cbrt (+ x y))
1.0ms
(cbrt (- z))
1.0ms
(cbrt (- z))
7.0ms
(cbrt (* (+ x y) (- z)))

series693.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (+ x y))
195.0ms
(cbrt (- z))
198.0ms
(cbrt (- z))
161.0ms
(cbrt (* (+ x y) (- z)))

simplify893.0ms

Counts
81 → 81
Iterations

Useful iterations: done (891.0ms)

IterNodesCost
0143667
1307640
2728596
32045573
done5001572

prune303.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11512
21812
32312
done2312

end0.0ms

sample406.0ms

Algorithm
intervals
Results
204.0ms10056×body80valid