Details

Time bar (total: 5.6s)

sample28.0ms

Algorithm
intervals
Results
9.0ms252×body80valid
2.0ms16×body640valid
2.0ms13×body1280valid
1.0ms15×body320valid
0.0ms4×body160valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

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: 11.7b

Counts
2 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
2.0b
(fma (/ (- y z) (- a z)) (- t x) 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:
9.0ms
(/ (- y z) (- a z))
1.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

series177.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- y z) (- a z))
127.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

simplify68.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0265450
1729425
22562423
35002421

prune222.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New61970
Fresh011
Picked101
Done000
Total621072

Merged error: 4.6b

Counts
72 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- a z))
0.0b
(/ y (- a z))
0.0b
(- (/ y (- a z)) (/ z (- a z)))
2.0b
(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

rewrite123.0ms

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
(/ z (- a z))
6.0ms
(/ y (- a z))
47.0ms
(- (/ y (- a z)) (/ z (- a z)))
1.0ms
(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

series494.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ z (- a z))
33.0ms
(/ y (- a z))
68.0ms
(- (/ y (- a z)) (/ z (- a z)))
350.0ms
(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

simplify200.0ms

Algorithm
egg-herbie
Counts
593 → 593
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0124315707
1333611721
2500111629

prune1.3s

Filtered
593 candidates to 269 candidates (45.4%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New5867593
Fresh549
Picked101
Done000
Total59211603

Merged error: 4.6b

Counts
603 → 11

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (- y z) (/ 1 (- a z)))
2.3b
(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

rewrite26.0ms

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))
15.0ms
(* (- y z) (/ 1 (- a z)))
1.0ms
(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

series209.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ 1 (- a z))
48.0ms
(* (- y z) (/ 1 (- a z)))
122.0ms
(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

simplify48.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0340602
11472525
25002481

prune296.0ms

Filtered
114 candidates to 71 candidates (62.3%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1104114
Fresh3710
Picked011
Done000
Total11312125

Merged error: 4.6b

Counts
125 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.0b
(fma (fma (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (- a z)) (- (/ z (- a z)))) (- t x) x)

rewrite5.0ms

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

series823.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt y)
186.0ms
(cbrt y)
183.0ms
(cbrt y)
261.0ms
(fma (fma (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (- a z)) (- (/ z (- a z)))) (- t x) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
093322
1209286
2730274
35002265

prune248.0ms

Filtered
61 candidates to 53 candidates (86.9%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New60161
Fresh01010
Picked011
Done011
Total601373

Merged error: 4.6b

Counts
73 → 13

regimes381.0ms

Accuracy

25.9% (6.1b remaining)

Error of 10.1b against oracle of 4.0b and baseline of 12.3b

bsearch48.0ms

Steps
ItersRangePoint
1
1.5282834128754625e+176
1.6628420004300516e+176
1.6292023535414043e+176
8
-1.5351412210920913e+162
-5.237757999332399e+159
-1.5207026717863646e+162

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02810
12810

end0.0ms

sample742.0ms

Algorithm
intervals
Results
280.0ms7750×body80valid
71.0ms502×body640valid
46.0ms283×body1280valid
42.0ms433×body320valid
18.0ms277×body160valid
3.0ms15×body2560valid