Details

Time bar (total: 4.4s)

sample26.0ms

Algorithm
intervals
Results
8.0ms253×body80valid
2.0ms13×body640valid
2.0ms17×body320valid
2.0ms10×body1280valid
0.0ms3×body160valid
0.0ms1×body2560valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519125
645815
750015

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: 10.4b

Counts
2 → 2

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
2.7b
(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)

series171.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- y z) (- a z))
118.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

simplify64.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0265450
1729425
22562423
35002421

prune218.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New63770
Fresh011
Picked101
Done000
Total64872

Merged error: 3.2b

Counts
72 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.3b
(* (- y z) (/ 1 (- a z)))
4.4b
(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

rewrite30.0ms

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))
18.0ms
(* (- y z) (/ 1 (- a z)))
1.0ms
(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

series209.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ 1 (- a z))
48.0ms
(* (- y z) (/ 1 (- a z)))
122.0ms
(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

simplify45.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0340602
11472525
25002481

prune304.0ms

Filtered
114 candidates to 71 candidates (62.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh167
Picked011
Done000
Total1148122

Merged error: 3.2b

Counts
122 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
9.1b
(fma (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y 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 (- y z))
3.0ms
(cbrt (- y z))
3.0ms
(cbrt (- y z))
1.0ms
(fma (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) (- t x) x)

series610.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(cbrt (- y z))
161.0ms
(cbrt (- y z))
167.0ms
(cbrt (- y z))
122.0ms
(fma (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) (- t x) x)

simplify50.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0199519
1454479
21395458
35001435

prune337.0ms

Filtered
73 candidates to 65 candidates (89.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New70373
Fresh156
Picked011
Done011
Total711081

Merged error: 3.2b

Counts
81 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 (- a z)))
0.6b
(cbrt (/ 1 (- a z)))
0.6b
(cbrt (/ 1 (- a z)))
8.1b
(fma (* (* (- y z) (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z))))) (cbrt (/ 1 (- a z)))) (- t x) x)

rewrite22.0ms

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:
6.0ms
(cbrt (/ 1 (- a z)))
6.0ms
(cbrt (/ 1 (- a z)))
6.0ms
(cbrt (/ 1 (- a z)))
1.0ms
(fma (* (* (- y z) (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z))))) (cbrt (/ 1 (- a z)))) (- t x) x)

series606.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(cbrt (/ 1 (- a z)))
158.0ms
(cbrt (/ 1 (- a z)))
162.0ms
(cbrt (/ 1 (- a z)))
123.0ms
(fma (* (* (- y z) (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z))))) (cbrt (/ 1 (- a z)))) (- t x) x)

simplify80.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
02581038
1632976
22399912
35001817

prune357.0ms

Filtered
118 candidates to 71 candidates (60.2%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1153118
Fresh167
Picked101
Done022
Total11711128

Merged error: 3.2b

Counts
128 → 11

regimes289.0ms

Accuracy

20.9% (6.5b remaining)

Error of 10.1b against oracle of 3.6b and baseline of 11.8b

bsearch71.0ms

Steps
ItersRangePoint
5
1.6709006096599705e-175
3.928279750586604e-175
3.8796318964657166e-175
6
-2.8069137153385956e-233
-1.8894238045445677e-234
-6.828391808532086e-234

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02810
12810

end0.0ms

sample717.0ms

Algorithm
intervals
Results
265.0ms7786×body80valid
67.0ms512×body640valid
43.0ms263×body1280valid
38.0ms411×body320valid
18.0ms223×body160valid
4.0ms21×body2560valid