Details

Time bar (total: 3.8s)

sample33.0ms

Algorithm
intervals
Results
20.0ms278×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0175
1325
2604
31124
41724
52314
62794
73524
84854
96484
1010744
1113584
1213994
1313994

prune11.0ms

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 (- a t))
4.3b
(fma (/ y (- a t)) (- 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 (- a t))
0.0ms
(fma (/ y (- a t)) (- z t) x)

series200.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ y (- a t))
172.0ms
(fma (/ y (- a t)) (- z t) x)

simplify105.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
0166265
1444246
21278244
34359243
45001243

prune172.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* y (/ 1 (- a t)))
4.3b
(fma (* y (/ 1 (- a t))) (- 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:
6.0ms
(/ 1 (- a t))
18.0ms
(* y (/ 1 (- a t)))
0.0ms
(fma (* y (/ 1 (- a t))) (- z t) x)

series262.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- a t))
33.0ms
(* y (/ 1 (- a t)))
193.0ms
(fma (* y (/ 1 (- a t))) (- z t) x)

simplify76.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0284497
11119429
24119381
35001381

prune256.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
0.7b
(/ 1 (/ (- a t) y))
4.3b
(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite28.0ms

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

series308.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (- a t) y)
78.0ms
(/ 1 (/ (- a t) y))
202.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify56.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04621073
11927947
25001836

prune333.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) y)
12.8b
(/ (- z t) (/ (- a t) y))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
170×add-sqr-sqrt *-un-lft-identity
86×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 expm1-log1p-u flip3-- frac-2neg div-sub clear-num flip-- log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 179
Calls
2 calls:
13.0ms
(/ (- a t) y)
18.0ms
(/ (- z t) (/ (- a t) y))

series142.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (- a t) y)
112.0ms
(/ (- z t) (/ (- a t) y))

simplify78.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
07101622
127841571
250011570

prune465.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample908.0ms

Algorithm
intervals
Results
632.0ms8718×body80valid
0.0ms1×body640valid
0.0ms1×body160valid