Details

Time bar (total: 4.9s)

sample24.0ms

Algorithm
intervals
Results
8.0ms242×body80valid
2.0ms15×body640valid
1.0ms15×body320valid
1.0ms13×body160valid
0.0ms3×body1280valid

simplify53.0ms

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: 14.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t x) (- a z))
14.9b
(fma (- y z) (/ (- t x) (- a z)) x)

rewrite19.0ms

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:
15.0ms
(/ (- t x) (- a z))
0.0ms
(fma (- y z) (/ (- t x) (- a z)) x)

series144.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- t x) (- a z))
94.0ms
(fma (- y z) (/ (- t x) (- a z)) x)

simplify58.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0268450
1733425
22490423
35001421

prune215.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- t x))
0.3b
(/ 1 (/ (- a z) (- t x)))
14.9b
(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

rewrite46.0ms

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:
13.0ms
(/ (- a z) (- t x))
15.0ms
(/ 1 (/ (- a z) (- t x)))
0.0ms
(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

series370.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ (- a z) (- t x))
198.0ms
(/ 1 (/ (- a z) (- t x)))
116.0ms
(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

simplify69.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06321907
128021722
250011551

prune416.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- t x))
4.3b
(+ (/ (- y z) (/ (- a z) (- t x))) x)
5.9b
(/ (- y z) (/ (- a z) (- t x)))

rewrite219.0ms

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:
14.0ms
(/ (- a z) (- t x))
146.0ms
(+ (/ (- y z) (/ (- a z) (- t x))) x)
23.0ms
(/ (- y z) (/ (- a z) (- t x)))

series535.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- a z) (- t x))
177.0ms
(+ (/ (- y z) (/ (- a z) (- t x))) x)
308.0ms
(/ (- y z) (/ (- a z) (- t x)))

simplify114.0ms

Algorithm
egg-herbie
Counts
449 → 449
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
010353079
142963003
250013001

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- y z) (- a z))
4.4b
(fma (/ (- y z) (- a z)) (- t x) x)

rewrite16.0ms

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)

series166.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- y z) (- a z))
119.0ms
(fma (/ (- y z) (- a z)) (- t x) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0265450
1729425
22562423
35002421

prune181.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.2b

regimes331.0ms

Accuracy

17.6% (6.8b remaining)

Error of 10.2b against oracle of 3.4b and baseline of 11.7b

bsearch80.0ms

Steps
ItersRangePoint
6
1.3013797935611406e+163
5.500327647669854e+163
2.5582308826184364e+163
9
-1.2707248800969787e+89
-6.309199235252727e+80
-8.829103027848125e+84

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02514
12514

end0.0ms

sample679.0ms

Algorithm
intervals
Results
251.0ms7803×body80valid
58.0ms496×body640valid
44.0ms417×body320valid
38.0ms238×body1280valid
17.0ms289×body160valid
2.0ms12×body2560valid