Details

Time bar (total: 3.0s)

sample31.0ms

Algorithm
intervals
Results
18.0ms278×body80valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
3.2b
(fma (/ y (- z a)) (- z t) x)

rewrite8.0ms

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:
6.0ms
(/ y (- z a))
1.0ms
(fma (/ y (- z a)) (- z t) x)

series116.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ y (- z a))
85.0ms
(fma (/ y (- z a)) (- z t) x)

simplify112.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 4 (107.0ms)

IterNodesCost
0170266
1464247
21318247
34468246
45001244

prune156.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* y (/ 1 (- z a)))
3.2b
(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp flip-- 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 → 99
Calls
3 calls:
8.0ms
(/ 1 (- z a))
17.0ms
(* y (/ 1 (- z a)))
0.0ms
(fma (* y (/ 1 (- z a))) (- z t) x)

series149.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- z a))
33.0ms
(* y (/ 1 (- z a)))
79.0ms
(fma (* y (/ 1 (- z a))) (- z t) x)

simplify77.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0288498
11139430
24201384
35002382

prune248.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) y)
0.8b
(/ 1 (/ (- z a) y))
3.2b
(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
101×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
22×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
10×add-cbrt-cube
8×div-exp associate-/l*
6×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×flip3-- pow-flip div-sub associate-/r/ flip-- fma-udef inv-pow
Counts
3 → 152
Calls
3 calls:
9.0ms
(/ (- z a) y)
10.0ms
(/ 1 (/ (- z a) y))
0.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

series201.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (- z a) y)
77.0ms
(/ 1 (/ (- z a) y))
95.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04661074
11946948
25001842

prune323.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
3.2b
(fma (* 1 (/ y (- z a))) (- z t) x)

rewrite7.0ms

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:
5.0ms
(/ y (- z a))
0.0ms
(fma (* 1 (/ y (- z a))) (- z t) x)

series116.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ y (- z a))
85.0ms
(fma (* 1 (/ y (- z a))) (- z t) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0174278
1540256
21645256
35001254

prune149.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes194.0ms

Accuracy

83.1% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02923
13123
23123

end0.0ms

sample783.0ms

Algorithm
intervals
Results
511.0ms8744×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid