Details

Time bar (total: 4.2s)

sample23.0ms

Algorithm
intervals
Results
11.0ms284×body80valid

simplify59.0ms

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
1.8b
(fma (/ (- y z) (- a z)) t 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:
11.0ms
(/ (- y z) (- a z))
0.0ms
(fma (/ (- y z) (- a z)) t x)

series119.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- y z) (- a z))
73.0ms
(fma (/ (- y z) (- a z)) t x)

simplify61.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0258433
1705410
22399410
35001410

prune178.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.3b
(/ 1 (/ (- a z) (- y z)))
1.8b
(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite40.0ms

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

series351.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (- a z) (- y z))
127.0ms
(/ 1 (/ (- a z) (- y z)))
176.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify67.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06201891
127641708
250021537

prune379.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a z))
0.0b
(/ 1 (- y z))
0.2b
(/ (/ 1 (- a z)) (/ 1 (- y z)))
1.8b
(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) t x)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
1131×times-frac
700×add-sqr-sqrt *-un-lft-identity
420×add-cube-cbrt
140×distribute-lft-out-- difference-of-squares
93×associate-/r/
52×add-exp-log
47×div-inv
46×flip3-- flip--
36×div-exp
31×associate-/r*
27×associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×pow-flip inv-pow
1×fma-udef associate-/l/
Counts
4 → 613
Calls
4 calls:
5.0ms
(/ 1 (- a z))
5.0ms
(/ 1 (- y z))
25.0ms
(/ (/ 1 (- a z)) (/ 1 (- y z)))
0.0ms
(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) t x)

series385.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ 1 (- a z))
34.0ms
(/ 1 (- y z))
135.0ms
(/ (/ 1 (- a z)) (/ 1 (- y z)))
175.0ms
(fma (/ (/ 1 (- a z)) (/ 1 (- y z))) t x)

simplify109.0ms

Algorithm
egg-herbie
Counts
625 → 625
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
021837536
150026626

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
12.7b
(* (/ t (- a z)) (- y z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
50×*-un-lft-identity
34×add-cube-cbrt
31×times-frac
21×associate-*l*
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 109
Calls
2 calls:
5.0ms
(/ t (- a z))
24.0ms
(* (/ t (- a z)) (- y z))

series178.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ t (- a z))
150.0ms
(* (/ t (- a z)) (- y z))

simplify51.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0472839
11987675
25001669

prune239.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes202.0ms

Accuracy

78.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02919
13119
23119

end0.0ms

sample539.0ms

Algorithm
intervals
Results
277.0ms8735×body80valid
0.0ms1×body1280valid
0.0ms1×body160valid