Details

Time bar (total: 3.9s)

sample22.0ms

Algorithm
intervals
Results
7.0ms275×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

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

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 (- a t))
3.1b
(fma (/ y (- a t)) (- z t) x)

rewrite13.0ms

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:
11.0ms
(/ y (- a t))
1.0ms
(fma (/ y (- a t)) (- z t) x)

series204.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ y (- a t))
176.0ms
(fma (/ y (- a t)) (- z t) x)

simplify113.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0166265
1444246
21278244
34359243
45001243

prune164.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
0.9b
(/ 1 (/ (- a t) y))
3.1b
(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite44.0ms

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:
17.0ms
(/ (- a t) y)
20.0ms
(/ 1 (/ (- a t) y))
0.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

series284.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- a t) y)
72.0ms
(/ 1 (/ (- a t) y))
185.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04621073
11927947
25001836

prune330.0ms

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
(/ 1 (- a t))
0.2b
(* (/ 1 (- a t)) y)
3.1b
(fma (* (/ 1 (- a t)) y) (- z t) x)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*l*
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-*r* 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 pow-prod-down associate-*l/ clear-num *-commutative fma-udef inv-pow
Counts
3 → 98
Calls
3 calls:
12.0ms
(/ 1 (- a t))
30.0ms
(* (/ 1 (- a t)) y)
0.0ms
(fma (* (/ 1 (- a t)) y) (- z t) x)

series283.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- a t))
70.0ms
(* (/ 1 (- a t)) y)
176.0ms
(fma (* (/ 1 (- a t)) y) (- z t) x)

simplify68.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0289488
11084422
23246384
35001384

prune252.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (- z t) (/ (- a t) y)) x)
0.0b
(/ (- a t) y)
11.1b
(/ (- z t) (/ (- a t) y))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
370×times-frac
306×*-un-lft-identity
304×add-sqr-sqrt
152×add-cube-cbrt
100×fma-def
76×distribute-lft-out-- difference-of-squares
22×associate-/r*
14×div-inv
10×add-exp-log add-cbrt-cube associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 expm1-log1p-u div-sub log1p-expm1-u
2×flip3-- frac-2neg clear-num associate-/r/ flip--
1×+-commutative associate-+l- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 294
Calls
3 calls:
118.0ms
(+ (/ (- z t) (/ (- a t) y)) x)
17.0ms
(/ (- a t) y)
31.0ms
(/ (- z t) (/ (- a t) y))

series214.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(+ (/ (- z t) (/ (- a t) y)) x)
29.0ms
(/ (- a t) y)
100.0ms
(/ (- z t) (/ (- a t) y))

simplify85.0ms

Algorithm
egg-herbie
Counts
303 → 303
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07911747
130181690
250011690

prune772.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample577.0ms

Algorithm
intervals
Results
241.0ms8723×body80valid
0.0ms1×body160valid