Details

Time bar (total: 4.1s)

sample44.0ms

Algorithm
intervals
Results
14.0ms236×body80valid
3.0ms14×body640valid
2.0ms8×body1280valid
2.0ms10×body320valid
1.0ms7×body160valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (22.0ms)

IterNodesCost
0226
1526
21116
32136
45175
510515
620555
732805
850025

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
10.7b
(fma (/ y (- a t)) (- t z) (+ x y))

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

series117.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ y (- a t))
82.0ms
(fma (/ y (- a t)) (- t z) (+ x y))

simplify49.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0170278
1468257
21400257
35002257

prune206.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
0.9b
(/ 1 (/ (- a t) y))
10.7b
(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

rewrite27.0ms

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
(/ (- a t) y)
10.0ms
(/ 1 (/ (- a t) y))
0.0ms
(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

series201.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (- a t) y)
78.0ms
(/ 1 (/ (- a t) y))
95.0ms
(fma (/ 1 (/ (- a t) y)) (- t z) (+ x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04661086
11950958
25001852

prune387.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
10.7b
(fma (* 1 (/ y (- a t))) (- t z) (+ x y))

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

series114.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ y (- a t))
85.0ms
(fma (* 1 (/ y (- a t))) (- t z) (+ x y))

simplify57.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0174290
1544266
21742266
35002264

prune200.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.3b
(/ (/ 1 (- a t)) (/ 1 y))
10.6b
(fma (/ (/ 1 (- a t)) (/ 1 y)) (- t z) (+ x y))

rewrite60.0ms

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:
6.0ms
(/ 1 (- a t))
25.0ms
(/ (/ 1 (- a t)) (/ 1 y))
0.0ms
(fma (/ (/ 1 (- a t)) (/ 1 y)) (- t z) (+ x y))

series222.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ 1 (- a t))
79.0ms
(/ (/ 1 (- a t)) (/ 1 y))
101.0ms
(fma (/ (/ 1 (- a t)) (/ 1 y)) (- t z) (+ x y))

simplify83.0ms

Algorithm
egg-herbie
Counts
403 → 403
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
016284228
150023606

prune823.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.5b

regimes523.0ms

Accuracy

10.3% (5.3b remaining)

Error of 11.5b against oracle of 6.2b and baseline of 12.1b

bsearch42.0ms

Steps
ItersRangePoint
8
-3.0776740066316494e+195
-7.533802811853565e+191
-2.2415885201745266e+195

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0196
1216
2216

end0.0ms

sample685.0ms

Algorithm
intervals
Results
253.0ms7297×body80valid
57.0ms456×body640valid
43.0ms419×body320valid
40.0ms257×body1280valid
22.0ms276×body160valid
4.0ms22×body2560valid