Details

Time bar (total: 4.5s)

sample29.0ms

Algorithm
intervals
Results
11.0ms248×body80valid
2.0ms17×body640valid
2.0ms9×body1280valid
1.0ms16×body160valid
1.0ms9×body320valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

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: 11.8b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
4.4b
(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)

series175.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- y z) (- a z))
120.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

simplify64.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0265450
1729425
22562423
35003421

prune208.0ms

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: 3.3b

Counts
72 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
694×*-un-lft-identity
684×add-sqr-sqrt
678×times-frac
441×prod-diff
402×add-cube-cbrt
145×distribute-lft-out--
139×difference-of-squares
92×associate-/r/
47×flip3-- flip--
46×div-inv
21×fma-neg
5×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u associate-/l*
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num frac-sub fma-udef sub-div
Counts
3 → 542
Calls
3 calls:
5.0ms
(/ z (- a z))
41.0ms
(- (/ y (- a z)) (/ z (- a z)))
1.0ms
(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

series235.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ z (- a z))
70.0ms
(- (/ y (- a z)) (/ z (- a z)))
119.0ms
(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

simplify206.0ms

Algorithm
egg-herbie
Counts
551 → 551
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
0120915518
1315211558
2500110317

prune749.0ms

Filtered
551 candidates to 178 candidates (32.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New5510551
Fresh099
Picked011
Done000
Total55110561

Merged error: 3.3b

Counts
561 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.3b
(* (- y z) (/ 1 (- a z)))
5.4b
(fma (* (- y z) (/ 1 (- a z))) (- t x) 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 z))
14.0ms
(* (- y z) (/ 1 (- a z)))
1.0ms
(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

series213.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (- a z))
55.0ms
(* (- y z) (/ 1 (- a z)))
122.0ms
(fma (* (- y z) (/ 1 (- a z))) (- t x) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0340602
11472525
25002481

prune250.0ms

Filtered
114 candidates to 72 candidates (63.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1122114
Fresh178
Picked011
Done101
Total11410124

Merged error: 3.3b

Counts
124 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
9.7b
(fma (* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ 1 (cbrt (- a z))))) (- t x) x)

rewrite17.0ms

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:
8.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
1.0ms
(fma (* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ 1 (cbrt (- a z))))) (- t x) x)

series606.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt (- a z))
164.0ms
(cbrt (- a z))
156.0ms
(cbrt (- a z))
121.0ms
(fma (* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ 1 (cbrt (- a z))))) (- t x) x)

simplify67.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0203545
1504500
21918487
35002455

prune262.0ms

Filtered
73 candidates to 62 candidates (84.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New71273
Fresh088
Picked101
Done011
Total721183

Merged error: 3.3b

Counts
83 → 11

regimes356.0ms

Accuracy

27.5% (5.8b remaining)

Error of 9.6b against oracle of 3.8b and baseline of 11.7b

bsearch85.0ms

Steps
ItersRangePoint
7
2.3171177227223138e+151
7.1007851833342075e+152
3.025594917682983e+152
7
-5.5353460225548844e+147
-2.2422785610801346e+146
-5.247565116560335e+147

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02810
12810

end0.0ms

sample688.0ms

Algorithm
intervals
Results
253.0ms7702×body80valid
61.0ms512×body640valid
45.0ms269×body1280valid
38.0ms395×body320valid
17.0ms284×body160valid
3.0ms15×body2560valid