Details

Time bar (total: 5.4s)

sample37.0ms

Algorithm
intervals
Results
17.0ms279×body80valid
3.0ms12×body640valid
2.0ms7×body1280valid
1.0ms11×body160valid
1.0ms6×body320valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0236
1465
21285
33625
410245
522965
650015

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t x) (- a z))
11.7b
(fma (- y z) (/ (- t x) (- a z)) x)

rewrite14.0ms

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)

series139.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- t x) (- a z))
89.0ms
(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

prune195.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- t x))
0.2b
(/ 1 (/ (- a z) (- t x)))
11.6b
(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

rewrite41.0ms

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:
14.0ms
(/ (- a z) (- t x))
14.0ms
(/ 1 (/ (- a z) (- t x)))
0.0ms
(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

series354.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (- a z) (- t x))
189.0ms
(/ 1 (/ (- a z) (- t x)))
113.0ms
(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

simplify67.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06321907
128021722
250011551

prune383.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- t x))
4.1b
(+ (/ (- y z) (/ (- a z) (- t x))) x)
4.4b
(/ (- y z) (/ (- a z) (- t x)))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
610×times-frac
572×*-un-lft-identity
570×add-sqr-sqrt
200×add-cube-cbrt
185×distribute-lft-out-- difference-of-squares
160×fma-def
36×associate-/r*
26×associate-/r/
14×flip3-- flip-- div-inv
10×add-exp-log add-cbrt-cube associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 expm1-log1p-u div-sub log1p-expm1-u
2×frac-2neg clear-num
1×+-commutative associate-+l- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 440
Calls
3 calls:
12.0ms
(/ (- a z) (- t x))
133.0ms
(+ (/ (- y z) (/ (- a z) (- t x))) x)
24.0ms
(/ (- y z) (/ (- a z) (- t x)))

series514.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (- a z) (- t x))
169.0ms
(+ (/ (- y z) (/ (- a z) (- t x))) x)
293.0ms
(/ (- y z) (/ (- a z) (- t x)))

simplify105.0ms

Algorithm
egg-herbie
Counts
449 → 449
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
010353079
142963003
250013001

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
3.3b
(fma (/ (- y z) (- a z)) (- t x) x)

rewrite14.0ms

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

series163.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- y z) (- a z))
111.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

simplify56.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0265450
1729425
22562423
35002421

prune180.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.6b

regimes547.0ms

Accuracy

29.5% (5.6b remaining)

Error of 9.1b against oracle of 3.5b and baseline of 11.5b

bsearch153.0ms

Steps
ItersRangePoint
6
7.645917156856446e+198
1.0154866414236922e+200
9.457501412292846e+198
10
7.932107687606017e-142
3.3145231712155383e-131
6.193968875488957e-135
8
-1.1485064325616612e+224
-1.34837593919935e+221
-1.6873865685691577e+222

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03526
13926
23926

end0.0ms

sample1.1s

Algorithm
intervals
Results
478.0ms7836×body80valid
107.0ms462×body640valid
78.0ms273×body1280valid
67.0ms379×body320valid
36.0ms277×body160valid
9.0ms18×body2560valid