Details

Time bar (total: 3.7s)

sample26.0ms

Algorithm
intervals
Results
8.0ms238×body80valid
3.0ms22×body640valid
1.0ms6×body1280valid
1.0ms11×body160valid
0.0ms2×body2560valid
0.0ms4×body320valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (12.0ms)

IterNodesCost
0226
1526
21116
32136
45175
510515
620555
732805
850025

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
13.1b
(fma (/ y (- a t)) (- t z) (+ x y))

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

series106.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ y (- a t))
78.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

simplify44.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0170278
1468257
21400257
35002257

prune193.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
0.7b
(/ 1 (/ (- a t) y))
13.1b
(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

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:
8.0ms
(/ (- a t) y)
9.0ms
(/ 1 (/ (- a t) y))
0.0ms
(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

series186.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- a t) y)
73.0ms
(/ 1 (/ (- a t) y))
87.0ms
(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

simplify53.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04661086
11950958
25001852

prune346.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.3b
(/ (/ 1 (- a t)) (/ 1 y))
13.1b
(fma (/ (/ 1 (- a t)) (/ 1 y)) (- t z) (+ x y))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
385×add-sqr-sqrt *-un-lft-identity
293×add-cube-cbrt
47×add-exp-log
46×distribute-lft-out-- difference-of-squares
38×div-inv
34×div-exp
31×associate-/r/
24×associate-/l*
18×associate-/r*
17×add-cbrt-cube
15×flip3-- flip--
9×cbrt-undiv rec-exp 1-exp
4×pow1
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow-flip fma-udef associate-/l/ inv-pow
Counts
3 → 394
Calls
3 calls:
5.0ms
(/ 1 (- a t))
19.0ms
(/ (/ 1 (- a t)) (/ 1 y))
0.0ms
(fma (/ (/ 1 (- a t)) (/ 1 y)) (- t z) (+ x y))

series197.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- a t))
71.0ms
(/ (/ 1 (- a t)) (/ 1 y))
89.0ms
(fma (/ (/ 1 (- a t)) (/ 1 y)) (- t z) (+ x y))

simplify74.0ms

Algorithm
egg-herbie
Counts
403 → 403
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
016284228
150023606

prune760.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 6.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (- a t) (/ 1 y))
0.7b
(/ 1 (* (- a t) (/ 1 y)))
13.1b
(fma (/ 1 (* (- a t) (/ 1 y))) (- t z) (+ x y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
22×add-sqr-sqrt
18×div-exp
17×add-cbrt-cube
16×*-un-lft-identity prod-exp
14×times-frac
13×add-cube-cbrt associate-*r*
9×rec-exp 1-exp
8×pow1
6×associate-/r/
5×cbrt-undiv associate-*l*
4×frac-times flip3-- associate-*l/ flip-- cbrt-unprod
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×pow-flip associate-*r/ pow-prod-down un-div-inv div-inv
1×frac-2neg clear-num associate-/r* *-commutative fma-udef distribute-lft-out-- inv-pow difference-of-squares
Counts
3 → 100
Calls
3 calls:
15.0ms
(* (- a t) (/ 1 y))
13.0ms
(/ 1 (* (- a t) (/ 1 y)))
0.0ms
(fma (/ 1 (* (- a t) (/ 1 y))) (- t z) (+ x y))

series183.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* (- a t) (/ 1 y))
71.0ms
(/ 1 (* (- a t) (/ 1 y)))
82.0ms
(fma (/ 1 (* (- a t) (/ 1 y))) (- t z) (+ x y))

simplify46.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0394564
11749447
25001419

prune244.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 6.6b

regimes297.0ms

Accuracy

35.8% (3.4b remaining)

Error of 9.7b against oracle of 6.3b and baseline of 11.6b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02818
12818

end0.0ms

sample665.0ms

Algorithm
intervals
Results
243.0ms7360×body80valid
55.0ms441×body640valid
43.0ms246×body1280valid
39.0ms402×body320valid
17.0ms272×body160valid
3.0ms19×body2560valid