Details

Time bar (total: 9.5s)

sample20.0ms

Algorithm
intervals
Results
9.0ms323×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 7 (297.0ms)

IterNodesCost
01213
12213
24912
310911
422811
544011
674811
7135010
8296310
done500110

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z x) y)
0.0b
(fma (- 0.25 (/ (- z x) y)) 4.0 1.0)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
9.0ms
(/ (- z x) y)
0.0ms
(fma (- 0.25 (/ (- z x) y)) 4.0 1.0)

series53.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (- z x) y)
27.0ms
(fma (- 0.25 (/ (- z x) y)) 4.0 1.0)

simplify2.4s

Counts
56 → 56
Iterations

Useful iterations: 4 (780.0ms)

IterNodesCost
095596
1197571
2526531
31584525
44660518
done5000518

prune127.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (/ (- x z) y) 4.0 2.0)
0.0b
(/ (- x z) y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
0.0ms
(fma (/ (- x z) y) 4.0 2.0)
11.0ms
(/ (- x z) y)

series55.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(fma (/ (- x z) y) 4.0 2.0)
26.0ms
(/ (- x z) y)

simplify855.0ms

Counts
56 → 56
Iterations

Useful iterations: done (854.0ms)

IterNodesCost
092570
1195545
2518497
31708497
done5000496

prune120.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (- (/ x y) (/ z y)) 4.0 2.0)
0.0b
(- (/ x y) (/ z y))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
253×times-frac
205×add-sqr-sqrt
201×*-un-lft-identity
193×add-cube-cbrt
169×prod-diff
29×div-inv
13×fma-neg
4×distribute-lft-out-- add-log-exp difference-of-squares
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- fma-udef sub-div
Counts
2 → 217
Calls
2 calls:
0.0ms
(fma (- (/ x y) (/ z y)) 4.0 2.0)
26.0ms
(- (/ x y) (/ z y))

series51.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(fma (- (/ x y) (/ z y)) 4.0 2.0)
21.0ms
(- (/ x y) (/ z y))

simplify857.0ms

Counts
223 → 223
Iterations

Useful iterations: done (848.0ms)

IterNodesCost
03278064
17147067
218675114
done50015062

prune377.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (cbrt (pow (/ (- x z) y) 3)) 4.0 2.0)
0.0b
(/ (- x z) y)
0.3b
(pow (/ (- x z) y) 3)
31.0b
(cbrt (pow (/ (- x z) y) 3))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt *-un-lft-identity
75×times-frac
52×add-cube-cbrt
44×cbrt-prod
38×unpow-prod-down cube-prod
16×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×pow1 div-inv associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-/r*
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div flip3-- pow-pow frac-2neg pow1/3 div-sub clear-num flip-- rem-cbrt-cube fma-udef
Counts
4 → 166
Calls
4 calls:
0.0ms
(fma (cbrt (pow (/ (- x z) y) 3)) 4.0 2.0)
11.0ms
(/ (- x z) y)
8.0ms
(pow (/ (- x z) y) 3)
8.0ms
(cbrt (pow (/ (- x z) y) 3))

series170.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(fma (cbrt (pow (/ (- x z) y) 3)) 4.0 2.0)
26.0ms
(/ (- x z) y)
44.0ms
(pow (/ (- x z) y) 3)
47.0ms
(cbrt (pow (/ (- x z) y) 3))

simplify936.0ms

Counts
178 → 178
Iterations

Useful iterations: 2 (194.0ms)

IterNodesCost
02132562
15772081
223631885
done50001885

prune320.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes49.0ms

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
0910
done910

end0.0ms

sample504.0ms

Algorithm
intervals
Results
293.0ms10106×body80valid