Details

Time bar (total: 4.5s)

sample22.0ms

Algorithm
intervals
Results
7.0ms279×body80valid

simplify83.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0185
1335
2614
31134
41734
52324
62804
73534
84854
96444
1010954
1113194
1214914
1315134
1415134

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
12.0ms
(/ y (- z a))
0.0ms
(fma (/ y (- z a)) (- z t) x)

series106.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ y (- z a))
75.0ms
(fma (/ y (- z a)) (- z t) x)

simplify151.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (146.0ms)

IterNodesCost
0170266
1464247
21318247
34468246
45001244

prune153.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
12.3b
(/ (* y (- z t)) (- z a))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
23.0ms
(* y (- z t))
29.0ms
(/ (* y (- z t)) (- z a))

series102.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* y (- z t))
68.0ms
(/ (* y (- z t)) (- z a))

simplify59.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0350543
11606380
25001380

prune154.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) (- z t))
1.9b
(/ y (/ (- z a) (- z t)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
23.0ms
(/ (- z a) (- z t))
27.0ms
(/ y (/ (- z a) (- z t)))

series155.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ (- z a) (- z t))
114.0ms
(/ y (/ (- z a) (- z t)))

simplify80.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06391797
128671744
250011741

prune503.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) (- z t))
0.3b
(/ 1 (/ (/ (- z a) (- z t)) y))
1.9b
(/ (/ (- z a) (- z t)) y)

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
793×add-sqr-sqrt *-un-lft-identity
449×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
105×associate-/r*
39×associate-/l*
35×associate-/r/
31×add-exp-log
23×div-inv
19×div-exp add-cbrt-cube
18×flip3-- flip--
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp frac-2neg 1-exp div-sub clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
3 → 617
Calls
3 calls:
27.0ms
(/ (- z a) (- z t))
43.0ms
(/ 1 (/ (/ (- z a) (- z t)) y))
36.0ms
(/ (/ (- z a) (- z t)) y)

series315.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (- z a) (- z t))
192.0ms
(/ 1 (/ (/ (- z a) (- z t)) y))
75.0ms
(/ (/ (- z a) (- z t)) y)

simplify120.0ms

Algorithm
egg-herbie
Counts
626 → 626
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
017687390
150016724

prune1.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample587.0ms

Algorithm
intervals
Results
246.0ms8728×body80valid
0.0ms1×body160valid