Details

Time bar (total: 2.7s)

sample30.0ms

Algorithm
intervals
Results
15.0ms317×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 10 (70.0ms)

IterNodesCost
0114
1204
2364
3584
4784
51014
61384
72254
85104
916824
1050013

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (- 1 y) (/ x z) 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 (- 1 y) (/ x z) y)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(fma (- 1 y) (/ x z) y)

simplify40.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
03866
18259
225653
3131353
4500153

prune23.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12113
Fresh011
Picked011
Done000
Total12315

Merged error: 0.0b

Counts
15 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
0.5b
(cbrt (fma (- 1 y) (/ x z) y))
0.5b
(cbrt (fma (- 1 y) (/ x z) y))
0.5b
(cbrt (fma (- 1 y) (/ x z) y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
1.0ms
(cbrt (fma (- 1 y) (/ x z) y))
1.0ms
(cbrt (fma (- 1 y) (/ x z) y))
1.0ms
(cbrt (fma (- 1 y) (/ x z) y))

series511.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
120.0ms
(cbrt (fma (- 1 y) (/ x z) y))
117.0ms
(cbrt (fma (- 1 y) (/ x z) y))
120.0ms
(cbrt (fma (- 1 y) (/ x z) y))

simplify44.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03141139
111121069
250011008

prune238.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh011
Picked011
Done011
Total92496

Merged error: 0.0b

Counts
96 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (- 1 y) (/ x z) y))
0.5b
(cbrt (fma (- 1 y) (/ x z) y))
0.5b
(cbrt (fma (- 1 y) (/ x z) y))
0.5b
(cbrt (fma (- 1 y) (/ x z) y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma (- 1 y) (/ x z) y))
1.0ms
(cbrt (fma (- 1 y) (/ x z) y))
1.0ms
(cbrt (fma (- 1 y) (/ x z) y))
1.0ms
(cbrt (fma (- 1 y) (/ x z) y))

series488.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(cbrt (fma (- 1 y) (/ x z) y))
119.0ms
(cbrt (fma (- 1 y) (/ x z) y))
123.0ms
(cbrt (fma (- 1 y) (/ x z) y))
125.0ms
(cbrt (fma (- 1 y) (/ x z) y))

simplify45.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0152768
1397732
21499724
35001684

prune236.0ms

Filtered
64 candidates to 60 candidates (93.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh011
Picked011
Done022
Total64468

Merged error: 0.0b

Counts
68 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (- z x)))
0.0b
(* y (- z x))
9.2b
(/ (+ x (* y (- z x))) z)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
38×add-cube-cbrt
36×prod-diff
22×distribute-rgt-in associate-+r+ distribute-lft-in
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×sub-neg
3×expm1-log1p-u fma-def associate-*l* associate-/r* log1p-expm1-u associate-/l*
2×flip3-+ associate-*r/ flip-+ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 115
Calls
3 calls:
5.0ms
(+ x (* y (- z x)))
7.0ms
(* y (- z x))
5.0ms
(/ (+ x (* y (- z x))) z)

series111.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ x (* y (- z x)))
38.0ms
(* y (- z x))
44.0ms
(/ (+ x (* y (- z x))) z)

simplify51.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0379842
11526592
25002585

prune175.0ms

Filtered
124 candidates to 79 candidates (63.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1222124
Fresh000
Picked011
Done123
Total1235128

Merged error: 0b

Counts
128 → 5

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample491.0ms

Algorithm
intervals
Results
288.0ms10132×body80valid

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