Details

Time bar (total: 5.7s)

sample25.0ms

Algorithm
intervals
Results
8.0ms233×body80valid
2.0ms12×body1280valid
2.0ms14×body640valid
1.0ms11×body320valid
0.0ms6×body160valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (11.0ms)

IterNodesCost
0226
1526
21116
32136
45175
510515
620555
732805
850025

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: 10.1b

Counts
2 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

12.0b
(fma (/ y (- a t)) (- t z) (+ x 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 (/ y (- a t)) (- t z) (+ x y))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

simplify57.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04084
19673
235473
3206873
4500373

prune60.0ms

Filtered
13 candidates to 12 candidates (92.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New6713
Fresh011
Picked011
Done000
Total6915

Merged error: 7.0b

Counts
15 → 9

localize10.0ms

Local error

Found 2 expressions with local error:

2.0b
(+ (* (/ y (- a t)) (- t z)) (+ x y))
9.7b
(* (/ y (- a t)) (- t z))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
44×*-un-lft-identity
36×add-cube-cbrt prod-diff
22×distribute-rgt-in associate-+l+ distribute-lft-in
21×associate-*l*
16×times-frac
10×frac-add
7×add-exp-log flip3-- add-cbrt-cube flip-- add-log-exp
6×frac-times flip3-+ associate-*r/ flip-+
5×associate-*r*
4×pow1 sub-neg distribute-lft-out-- difference-of-squares
3×associate-*l/ sum-log
2×expm1-log1p-u prod-exp associate-/r/ cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative associate-+r+ fma-def div-exp pow-prod-down *-commutative div-inv
Counts
2 → 118
Calls
2 calls:
19.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
14.0ms
(* (/ y (- a t)) (- t z))

series259.0ms

Counts
2 → 6
Calls
2 calls:
109.0ms
(+ (* (/ y (- a t)) (- t z)) (+ x y))
150.0ms
(* (/ y (- a t)) (- t z))

simplify99.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
07961199
13608962
25002962

prune382.0ms

Filtered
124 candidates to 86 candidates (69.4%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1159124
Fresh257
Picked101
Done011
Total11815133

Merged error: 6.9b

Counts
133 → 15

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.1b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)))
7.1b
(+ (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z))) (+ x y))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
88×distribute-rgt-in distribute-lft-in
73×add-exp-log
72×prod-diff
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
44×associate-+l+
39×add-cbrt-cube
37×prod-exp cbrt-unprod
31×frac-times
29×associate-*r/
22×frac-add
18×flip3-- flip--
17×cbrt-undiv div-exp
13×associate-*l*
12×cbrt-div flip3-+ flip-+
11×associate-*l/
9×pow1 add-log-exp
8×sub-neg associate-/r/
6×cbrt-prod
4×expm1-log1p-u log1p-expm1-u
3×pow-prod-down sum-log
2×pow1/3
1×+-commutative associate-+r+ fma-def times-frac associate-*r* *-commutative div-inv
Counts
4 → 219
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
35.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)))
42.0ms
(+ (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z))) (+ x y))

series726.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt y)
191.0ms
(cbrt y)
187.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)))
165.0ms
(+ (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z))) (+ x y))

simplify75.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
016595356
150023554

prune884.0ms

Filtered
231 candidates to 155 candidates (67.1%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New2274231
Fresh11213
Picked101
Done011
Total22917246

Merged error: 6.9b

Counts
246 → 17

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
10.1b
(fma (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)) (+ x y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(fma (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)) (+ x y))

series1.3s

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt y)
188.0ms
(cbrt y)
197.0ms
(cbrt y)
706.0ms
(fma (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (* (/ (cbrt y) (cbrt (- a t))) (- t z)) (+ x y))

simplify80.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0246477
1687426
23103388
35002360

prune262.0ms

Filtered
61 candidates to 55 candidates (90.2%)
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New55661
Fresh21315
Picked011
Done011
Total572178

Merged error: 6.9b

Counts
78 → 21

regimes512.0ms

Accuracy

0% (4.8b remaining)

Error of 11.1b against oracle of 6.2b and baseline of 11.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01817
11817

end0.0ms

sample671.0ms

Algorithm
intervals
Results
254.0ms7322×body80valid
57.0ms467×body640valid
41.0ms270×body1280valid
37.0ms404×body320valid
16.0ms253×body160valid
3.0ms14×body2560valid