Details

Time bar (total: 4.0s)

sample21.0ms

Algorithm
intervals
Results
8.0ms285×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

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

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
2.3b
(fma (/ y (- a t)) (- 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 (- a t))
0.0ms
(fma (/ y (- a t)) (- z t) x)

series225.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ y (- a t))
194.0ms
(fma (/ y (- a t)) (- z t) x)

simplify112.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0166265
1444246
21278244
34359243
45001243

prune163.0ms

Filtered
55 candidates to 43 candidates (78.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
0.8b
(/ 1 (/ (- a t) y))
2.3b
(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite25.0ms

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

series314.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (- a t) y)
79.0ms
(/ 1 (/ (- a t) y))
202.0ms
(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

prune313.0ms

Filtered
161 candidates to 85 candidates (52.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (- z t) (/ (- a t) y)) x)
0.0b
(/ (- a t) y)
12.7b
(/ (- z t) (/ (- a t) y))

rewrite139.0ms

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:
91.0ms
(+ (/ (- z t) (/ (- a t) y)) x)
9.0ms
(/ (- a t) y)
17.0ms
(/ (- z t) (/ (- a t) y))

series240.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(+ (/ (- z t) (/ (- a t) y)) x)
29.0ms
(/ (- a t) y)
110.0ms
(/ (- z t) (/ (- a t) y))

simplify84.0ms

Algorithm
egg-herbie
Counts
303 → 303
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07911747
130181690
250011690

prune786.0ms

Filtered
303 candidates to 209 candidates (69.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ (- z t) (- a t)) y) x)
0.0b
(/ (- z t) (- a t))
2.3b
(* (/ (- z t) (- a t)) y)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*l*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u flip3-- associate-*r* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 120
Calls
3 calls:
9.0ms
(+ (* (/ (- z t) (- a t)) y) x)
12.0ms
(/ (- z t) (- a t))
25.0ms
(* (/ (- z t) (- a t)) y)

series263.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(+ (* (/ (- z t) (- a t)) y) x)
53.0ms
(/ (- z t) (- a t))
111.0ms
(* (/ (- z t) (- a t)) y)

simplify51.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0448783
11394739
25002738

prune312.0ms

Filtered
129 candidates to 91 candidates (70.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes137.0ms

Accuracy

47% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.5b

bsearch50.0ms

Steps
ItersRangePoint
3
1.7589567912306152e-242
2.352857168743782e-242
1.8254784728229986e-242
7
-3.4903862045525623e-50
-1.3445863232842662e-51
-1.6744126300319625e-50

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02610
12610

end0.0ms

sample526.0ms

Algorithm
intervals
Results
268.0ms8741×body80valid
0.0ms2×body640valid