Details

Time bar (total: 6.0s)

sample27.0ms

Algorithm
intervals
Results
9.0ms257×body80valid
2.0ms19×body640valid
1.0ms16×body320valid
1.0msbody1280valid
0.0msbody160valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

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: 11.0b

Counts
2 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
3.1b
(fma (/ (- y z) (- a z)) (- t x) x)

rewrite17.0ms

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
associate-/r* associate-/l*
add-exp-log add-cbrt-cube
pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
13.0ms
(/ (- y z) (- a z))
1.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

series176.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- y z) (- a z))
124.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

simplify79.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0265450
1729425
22562423
35002421

prune221.0ms

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: 2.2b

Counts
72 → 10

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))
3.1b
(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

rewrite117.0ms

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*
add-exp-log add-cbrt-cube
associate-/l* add-log-exp
pow1 expm1-log1p-u log1p-expm1-u
distribute-rgt-out--
cbrt-undiv frac-2neg div-exp clear-num
sub-neg diff-log frac-sub fma-udef sub-div
Counts
4 → 581
Calls
4 calls:
6.0ms
(/ y (- a z))
42.0ms
(- (/ y (- a z)) (/ z (- a z)))
6.0ms
(/ z (- a z))
1.0ms
(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

series273.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ y (- a z))
73.0ms
(- (/ y (- a z)) (/ z (- a z)))
47.0ms
(/ z (- a z))
121.0ms
(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

simplify221.0ms

Algorithm
egg-herbie
Counts
593 → 593
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
0124315707
1333411721
2500111629

prune1.2s

Filtered
593 candidates to 269 candidates (45.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New5903593
Fresh279
Picked011
Done000
Total59211603

Merged error: 2.2b

Counts
603 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

0.8b
(pow (cbrt z) 3)
0.8b
(pow (cbrt z) 3)
0.8b
(pow (cbrt z) 3)
9.4b
(fma (+ (- (/ y (- a z)) (/ (pow (cbrt z) 3) (* 1 (- a z)))) (+ (/ (pow (cbrt z) 3) (* 1 (- a z))) (/ (- (pow (cbrt z) 3)) (- a z)))) (- t x) x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod unpow-prod-down cube-prod
pow-unpow
pow1 add-exp-log
pow-pow
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
cube-mult pow-to-exp pow1/3 unpow3 pow-exp rem-cube-cbrt sqr-pow
fma-udef
Counts
4 → 106
Calls
4 calls:
3.0ms
(pow (cbrt z) 3)
3.0ms
(pow (cbrt z) 3)
3.0ms
(pow (cbrt z) 3)
1.0ms
(fma (+ (- (/ y (- a z)) (/ (pow (cbrt z) 3) (* 1 (- a z)))) (+ (/ (pow (cbrt z) 3) (* 1 (- a z))) (/ (- (pow (cbrt z) 3)) (- a z)))) (- t x) x)

series922.0ms

Counts
4 → 12
Calls
4 calls:
257.0ms
(pow (cbrt z) 3)
255.0ms
(pow (cbrt z) 3)
251.0ms
(pow (cbrt z) 3)
158.0ms
(fma (+ (- (/ y (- a z)) (/ (pow (cbrt z) 3) (* 1 (- a z)))) (+ (/ (pow (cbrt z) 3) (* 1 (- a z))) (/ (- (pow (cbrt z) 3)) (- a z)))) (- t x) x)

simplify48.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0162539
1736459
25001421

prune322.0ms

Filtered
118 candidates to 59 candidates (50.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1162118
Fresh189
Picked101
Done011
Total11811129

Merged error: 2.2b

Counts
129 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
8.9b
(fma (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- y z) (cbrt (- a z)))) (- t x) x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
cbrt-div
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
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 (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- y z) (cbrt (- a z)))) (- t x) x)

series656.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt (- a z))
168.0ms
(cbrt (- a z))
175.0ms
(cbrt (- a z))
138.0ms
(fma (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- y z) (cbrt (- a z)))) (- t x) x)

simplify68.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0203532
1492489
21845471
35003446

prune289.0ms

Filtered
73 candidates to 65 candidates (89.0%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New71273
Fresh099
Picked011
Done011
Total711384

Merged error: 2.2b

Counts
84 → 13

regimes423.0ms

Accuracy

22.4% (6.1b remaining)

Error of 9.8b against oracle of 3.7b and baseline of 11.6b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03339
13339

end0.0ms

sample716.0ms

Algorithm
intervals
Results
265.0ms7803×body80valid
64.0ms497×body640valid
52.0ms269×body1280valid
37.0ms396×body320valid
16.0ms256×body160valid
3.0ms14×body2560valid

Profiling

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