Details

Time bar (total: 3.4s)

sample26.0ms

Algorithm
intervals
Results
8.0ms251×body80valid
2.0ms20×body640valid
2.0ms12×body1280valid
1.0ms8×body320valid
0.0ms7×body160valid
0.0ms1×body2560valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0236
1465
21285
33625
410245
522965
650015

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t x) (- a z))
14.5b
(fma (- y z) (/ (- t x) (- a z)) x)

rewrite18.0ms

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:
12.0ms
(/ (- t x) (- a z))
0.0ms
(fma (- y z) (/ (- t x) (- a z)) x)

series141.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- t x) (- a z))
92.0ms
(fma (- y z) (/ (- t x) (- a z)) x)

simplify57.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0268450
1733425
22490423
35001421

prune211.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (- t x) (/ 1 (- a z)))
14.5b
(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

rewrite36.0ms

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))
25.0ms
(* (- t x) (/ 1 (- a z)))
0.0ms
(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

series180.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- a z))
54.0ms
(* (- t x) (/ 1 (- a z)))
92.0ms
(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

simplify42.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0350602
11497525
25001481

prune270.0ms

Filtered
114 candidates to 69 candidates (60.5%)
Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- t x))
0.5b
(/ 1 (/ (- a z) (- t x)))
14.4b
(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×pow-flip div-sub fma-udef inv-pow
Counts
3 → 214
Calls
3 calls:
12.0ms
(/ (- a z) (- t x))
19.0ms
(/ 1 (/ (- a z) (- t x)))
0.0ms
(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

series364.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (- a z) (- t x))
197.0ms
(/ 1 (/ (- a z) (- t x)))
118.0ms
(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

simplify65.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06321907
128021722
250031551

prune397.0ms

Filtered
223 candidates to 104 candidates (46.6%)
Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t x) (- a z))
14.5b
(fma (- y z) (* 1 (/ (- t x) (- a z))) x)

rewrite15.0ms

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:
12.0ms
(/ (- t x) (- a z))
0.0ms
(fma (- y z) (* 1 (/ (- t x) (- a z))) x)

series138.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- t x) (- a z))
90.0ms
(fma (- y z) (* 1 (/ (- t x) (- a z))) x)

simplify65.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0272462
1803434
22854432
35002429

prune171.0ms

Filtered
70 candidates to 50 candidates (71.4%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.8b

regimes335.0ms

Accuracy

21.3% (7.9b remaining)

Error of 12.9b against oracle of 5.0b and baseline of 15.1b

bsearch57.0ms

Steps
ItersRangePoint
6
2.01645319072261e+30
2.864590415848179e+31
2.8040339380969858e+31
5
-2.222504453511448e+197
-9.017207635331378e+196
-1.9533364658200652e+197

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02811
12811

end0.0ms

sample683.0ms

Algorithm
intervals
Results
250.0ms7714×body80valid
61.0ms478×body640valid
42.0ms286×body1280valid
36.0ms418×body320valid
19.0ms286×body160valid
3.0ms14×body2560valid