Details

Time bar (total: 5.2s)

sample30.0ms

Algorithm
intervals
Results
10.0ms240×body80valid
3.0ms14×body1280valid
2.0ms20×body320valid
2.0ms11×body640valid
0.0ms2×body2560valid
0.0ms6×body160valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519125
645815
750015

prune9.0ms

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: 12.6b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
3.0b
(fma (/ (- y z) (- a z)) (- t x) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
9.0ms
(/ (- y z) (- a z))
1.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

series179.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- y z) (- a z))
127.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

simplify63.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
0265450
1729425
22562423
35002421

prune213.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New591170
Fresh011
Picked101
Done000
Total601272

Merged error: 4.4b

Counts
72 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- a z))
0.0b
(- (/ y (- a z)) (/ z (- a z)))
0.0b
(/ z (- a z))
3.0b
(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
713×*-un-lft-identity
703×add-sqr-sqrt
693×times-frac
441×prod-diff
413×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
8×add-exp-log add-cbrt-cube
6×associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub fma-udef sub-div
Counts
4 → 581
Calls
4 calls:
6.0ms
(/ y (- a z))
38.0ms
(- (/ y (- a z)) (/ z (- a z)))
5.0ms
(/ z (- a z))
1.0ms
(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

series281.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ y (- a z))
75.0ms
(- (/ y (- a z)) (/ z (- a z)))
46.0ms
(/ z (- a z))
129.0ms
(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

simplify204.0ms

Algorithm
egg-herbie
Counts
593 → 593
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0124315707
1333411721
2500111629

prune1.2s

Filtered
593 candidates to 269 candidates (45.4%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New5930593
Fresh01111
Picked011
Done000
Total59312605

Merged error: 4.4b

Counts
605 → 12

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (- y z) (/ 1 (- a z)))
4.5b
(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 105
Calls
3 calls:
6.0ms
(/ 1 (- a z))
14.0ms
(* (- y z) (/ 1 (- a z)))
1.0ms
(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

series222.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- a z))
58.0ms
(* (- y z) (/ 1 (- a z)))
127.0ms
(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0340602
11472525
25002481

prune260.0ms

Filtered
114 candidates to 71 candidates (62.3%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh01010
Picked011
Done011
Total11313126

Merged error: 4.4b

Counts
126 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
10.9b
(fma (* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ 1 (cbrt (- a z))))) (- t x) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 61
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
1.0ms
(fma (* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ 1 (cbrt (- a z))))) (- t x) x)

series634.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt (- a z))
170.0ms
(cbrt (- a z))
164.0ms
(cbrt (- a z))
131.0ms
(fma (* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ 1 (cbrt (- a z))))) (- t x) x)

simplify63.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
0203545
1504500
21918487
35002455

prune264.0ms

Filtered
73 candidates to 62 candidates (84.9%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh01010
Picked011
Done022
Total731386

Merged error: 4.4b

Counts
86 → 13

regimes440.0ms

Accuracy

25.2% (5.9b remaining)

Error of 9.5b against oracle of 3.6b and baseline of 11.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03039
13039

end0.0ms

sample803.0ms

Algorithm
intervals
Results
319.0ms7877×body80valid
70.0ms475×body640valid
59.0ms270×body1280valid
49.0ms411×body320valid
18.0ms242×body160valid
4.0ms18×body2560valid