Details

Time bar (total: 4.0s)

sample30.0ms

Algorithm
intervals
Results
16.0ms284×body80valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0175
1355
2634
31074
41694
52394
62884
73564
84074
95334
107554
1112564
1213024
1313044
1413044

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
2.9b
(fma (/ (- y z) (- a z)) t 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
(/ (- y z) (- a z))
0.0ms
(fma (/ (- y z) (- a z)) t x)

series129.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- y z) (- a z))
80.0ms
(fma (/ (- y z) (- a z)) t x)

simplify63.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0258433
1705410
22399410
35001410

prune205.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (- y z) (/ 1 (- a z)))
2.9b
(fma (* (- y z) (/ 1 (- a z))) t x)

rewrite34.0ms

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

series170.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (- a z))
53.0ms
(* (- y z) (/ 1 (- a z)))
81.0ms
(fma (* (- y z) (/ 1 (- a z))) t x)

simplify45.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0333585
11448510
25002468

prune285.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.2b
(/ 1 (/ (- a z) (- y z)))
2.9b
(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite43.0ms

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

series385.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (- a z) (- y z))
137.0ms
(/ 1 (/ (- a z) (- y z)))
195.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify77.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06201891
127641708
250021537

prune429.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- a z))
0.0b
(+ (* (/ t (- a z)) (- y z)) x)
11.2b
(* (/ t (- a z)) (- y z))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
63×*-un-lft-identity
47×add-cube-cbrt
36×prod-diff
31×times-frac
22×distribute-rgt-in associate-+l+ distribute-lft-in
21×associate-*l*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*r* associate-/r* add-log-exp
4×sub-neg flip3-- associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 145
Calls
3 calls:
5.0ms
(/ t (- a z))
12.0ms
(+ (* (/ t (- a z)) (- y z)) x)
29.0ms
(* (/ t (- a z)) (- y z))

series416.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ t (- a z))
222.0ms
(+ (* (/ t (- a z)) (- y z)) x)
158.0ms
(* (/ t (- a z)) (- y z))

simplify73.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05671124
12257891
25001883

prune418.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes209.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01917
11917

end0.0ms

sample815.0ms

Algorithm
intervals
Results
522.0ms8769×body80valid