Details

Time bar (total: 3.5s)

sample31.0ms

Algorithm
intervals
Results
9.0ms262×body80valid
2.0ms12×body1280valid
1.0ms11×body640valid
1.0ms12×body320valid
1.0ms12×body160valid
0.0ms1×body2560valid

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: 14.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t x) (- a z))
14.3b
(fma (- y z) (/ (- t x) (- a z)) x)

rewrite26.0ms

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:
23.0ms
(/ (- t x) (- a z))
0.0ms
(fma (- y z) (/ (- t x) (- a z)) x)

series150.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- t x) (- a z))
96.0ms
(fma (- y z) (/ (- t x) (- a z)) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0268450
1733425
22490423
35001421

prune199.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (- t x) (/ 1 (- a z)))
14.3b
(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

rewrite62.0ms

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:
14.0ms
(/ 1 (- a z))
44.0ms
(* (- t x) (/ 1 (- a z)))
0.0ms
(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

series189.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- a z))
53.0ms
(* (- t x) (/ 1 (- a z)))
99.0ms
(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0350602
11497525
25001481

prune262.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- t x))
0.3b
(/ 1 (/ (- a z) (- t x)))
14.3b
(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

rewrite64.0ms

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:
24.0ms
(/ (- a z) (- t x))
25.0ms
(/ 1 (/ (- a z) (- t x)))
0.0ms
(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

series371.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ (- a z) (- t x))
196.0ms
(/ 1 (/ (- a z) (- t x)))
120.0ms
(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
250011551

prune390.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t x) (- a z))
14.3b
(fma (- y z) (* 1 (/ (- t x) (- a z))) x)

rewrite27.0ms

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:
24.0ms
(/ (- t x) (- a z))
0.0ms
(fma (- y z) (* 1 (/ (- t x) (- a z))) x)

series156.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (- t x) (- a z))
100.0ms
(fma (- y z) (* 1 (/ (- t x) (- a z))) x)

simplify63.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0272462
1803434
22854432
35002429

prune175.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.1b

regimes239.0ms

Accuracy

30.3% (6.7b remaining)

Error of 11.5b against oracle of 4.8b and baseline of 14.4b

bsearch83.0ms

Steps
ItersRangePoint
9
3.906933855206174e-64
1.6847351699293705e-56
4.283293768185102e-64
8
-1.4355383054732265e-147
-3.954270623759517e-151
-2.4675286660210208e-148

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02810
13010
23010

end0.0ms

sample769.0ms

Algorithm
intervals
Results
244.0ms7703×body80valid
51.0ms478×body640valid
40.0ms282×body1280valid
31.0ms387×body320valid
15.0ms267×body160valid
2.0ms14×body2560valid