Details

Time bar (total: 4.3s)

sample28.0ms

Algorithm
intervals
Results
9.0ms258×body80valid
2.0ms15×body640valid
1.0ms12×body320valid
1.0ms13×body160valid
1.0ms5×body1280valid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune13.0ms

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: 10.5b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
14.6b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite13.0ms

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:
10.0ms
(/ (- y x) (- a t))
1.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

series142.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- y x) (- a t))
90.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify71.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune218.0ms

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: 5.8b

Counts
72 → 12

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- y x) (/ 1 (- a t)))
14.7b
(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

rewrite24.0ms

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 t))
14.0ms
(* (- y x) (/ 1 (- a t)))
1.0ms
(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

series190.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ 1 (- a t))
57.0ms
(* (- y x) (/ 1 (- a t)))
94.0ms
(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

simplify56.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0351602
11495525
25001481

prune260.0ms

Filtered
114 candidates to 70 candidates (61.4%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1122114
Fresh11011
Picked011
Done000
Total11313126

Merged error: 5.8b

Counts
126 → 13

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
14.5b
(fma (/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (- a t) (cbrt (- y x)))) (- z t) 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 (- y x))
3.0ms
(cbrt (- y x))
3.0ms
(cbrt (- y x))
1.0ms
(fma (/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (- a t) (cbrt (- y x)))) (- z t) x)

series582.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(cbrt (- y x))
163.0ms
(cbrt (- y x))
164.0ms
(cbrt (- y x))
91.0ms
(fma (/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (- a t) (cbrt (- y x)))) (- z t) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0200519
1453479
21378458
35001437

prune293.0ms

Filtered
73 candidates to 64 candidates (87.7%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New70373
Fresh01111
Picked011
Done011
Total701686

Merged error: 5.8b

Counts
86 → 16

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (/ 1 (- a t)))
0.7b
(cbrt (/ 1 (- a t)))
0.7b
(cbrt (/ 1 (- a t)))
14.5b
(fma (* (* (- y x) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t)))) (- z t) x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
49×add-sqr-sqrt *-un-lft-identity
45×times-frac
31×add-cube-cbrt
9×distribute-lft-out-- difference-of-squares
6×associate-/r/
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div flip3-- pow1/3 flip-- div-inv
1×fma-udef
Counts
4 → 106
Calls
4 calls:
5.0ms
(cbrt (/ 1 (- a t)))
5.0ms
(cbrt (/ 1 (- a t)))
5.0ms
(cbrt (/ 1 (- a t)))
1.0ms
(fma (* (* (- y x) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t)))) (- z t) x)

series595.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt (/ 1 (- a t)))
171.0ms
(cbrt (/ 1 (- a t)))
158.0ms
(cbrt (/ 1 (- a t)))
93.0ms
(fma (* (* (- y x) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t)))) (- z t) x)

simplify85.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
02601035
1631976
22425912
35001819

prune327.0ms

Filtered
118 candidates to 70 candidates (59.3%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1162118
Fresh31013
Picked101
Done022
Total12014134

Merged error: 5.8b

Counts
134 → 14

regimes382.0ms

Accuracy

41.2% (2.9b remaining)

Error of 9.7b against oracle of 6.8b and baseline of 11.7b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03219
13219

end0.0ms

sample729.0ms

Algorithm
intervals
Results
257.0ms7853×body80valid
66.0ms487×body640valid
46.0ms428×body320valid
44.0ms243×body1280valid
17.0ms278×body160valid
4.0ms20×body2560valid