Details

Time bar (total: 3.8s)

sample33.0ms

Algorithm
intervals
Results
15.0ms313×body80valid

simplify134.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0226
1506
21244
32804
45344
58694
613974
735214
850014

prune11.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 0.75 y (- x z))
0.2b
(fma (/ 4.0 y) (fma 0.75 y (- x z)) 1.0)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×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
2 → 20
Calls
2 calls:
1.0ms
(fma 0.75 y (- x z))
1.0ms
(fma (/ 4.0 y) (fma 0.75 y (- x z)) 1.0)

series72.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(fma 0.75 y (- x z))
50.0ms
(fma (/ 4.0 y) (fma 0.75 y (- x z)) 1.0)

simplify69.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 4 (65.0ms)

IterNodesCost
064128
1156108
2566108
33032105
45001102

prune66.0ms

Filtered
26 candidates to 21 candidates (80.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New23326
Fresh011
Picked011
Done000
Total23528

Merged error: 0.0b

Counts
28 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ x (* y 0.75)) z)
0.0b
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
0.0b
(+ x (* y 0.75))
0.3b
(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
15×add-cube-cbrt
13×add-log-exp
9×add-exp-log prod-diff add-cbrt-cube
6×fma-def
4×pow1 expm1-log1p-u log1p-expm1-u
3×times-frac fma-neg associate-/r* sum-log
2×cbrt-undiv +-commutative flip3-- flip3-+ diff-log associate-*r/ div-exp flip-- flip-+ associate-/l/
1×sub-neg frac-2neg prod-exp associate--l+ clear-num cbrt-unprod div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 88
Calls
4 calls:
6.0ms
(- (+ x (* y 0.75)) z)
9.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
3.0ms
(+ x (* y 0.75))
9.0ms
(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

series112.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (+ x (* y 0.75)) z)
30.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
24.0ms
(+ x (* y 0.75))
36.0ms
(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

simplify47.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0419659
11695507
25001488

prune188.0ms

Filtered
100 candidates to 75 candidates (75.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New982100
Fresh303
Picked011
Done101
Total1023105

Merged error: 0.0b

Counts
105 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity associate-*r*
10×times-frac
8×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
3×expm1-log1p-u fma-neg associate-*l* prod-diff log1p-expm1-u
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log associate-*r/ div-exp pow-prod-down *-commutative flip-- fma-udef div-inv
Counts
3 → 64
Calls
3 calls:
6.0ms
(* 4.0 (/ z y))
1.0ms
(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))
3.0ms
(- 4.0 (* 4.0 (/ z y)))

series73.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(* 4.0 (/ z y))
25.0ms
(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))
30.0ms
(- 4.0 (* 4.0 (/ z y)))

simplify35.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0256352
11139317
25002316

prune131.0ms

Filtered
73 candidates to 55 candidates (75.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New73073
Fresh011
Picked011
Done011
Total73376

Merged error: 0.0b

Counts
76 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y)))
0.4b
(cbrt (+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y)))
0.4b
(cbrt (+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y)))
0.7b
(* (cbrt (+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))) (cbrt (+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
4.0ms
(cbrt (+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y)))
4.0ms
(cbrt (+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y)))
4.0ms
(cbrt (+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y)))
15.0ms
(* (cbrt (+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))) (cbrt (+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))))

series1.7s

Counts
4 → 12
Calls
4 calls:
386.0ms
(cbrt (+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y)))
538.0ms
(cbrt (+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y)))
376.0ms
(cbrt (+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y)))
376.0ms
(* (cbrt (+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))) (cbrt (+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))))

simplify91.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
02671795
19001687
239561535
350011535

prune286.0ms

Filtered
115 candidates to 86 candidates (74.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1141115
Fresh000
Picked011
Done022
Total1144118

Merged error: 0b

Counts
118 → 4

regimes140.0ms

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
0105
1105

end0.0ms

sample511.0ms

Algorithm
intervals
Results
300.0ms10167×body80valid