Details

Time bar (total: 3.9s)

sample21.0ms

Algorithm
intervals
Results
9.0ms286×body80valid

simplify62.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
3.4b
(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:
6.0ms
(/ y (- a t))
0.0ms
(fma (/ y (- a t)) (- z t) x)

series213.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ y (- a t))
184.0ms
(fma (/ y (- a t)) (- z t) x)

simplify102.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0166265
1444246
21278244
34359243
45001243

prune152.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
1.5b
(/ 1 (/ (- a t) y))
3.4b
(fma (/ 1 (/ (- a t) y)) (- z t) x)

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:
9.0ms
(/ (- a t) y)
10.0ms
(/ 1 (/ (- a t) y))
0.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

series305.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (- a t) y)
74.0ms
(/ 1 (/ (- a t) y))
199.0ms
(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

prune302.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (- z t) (/ (- a t) y)) x)
0.0b
(/ (- a t) y)
12.5b
(/ (- z t) (/ (- a t) y))

rewrite141.0ms

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:
93.0ms
(+ (/ (- z t) (/ (- a t) y)) x)
9.0ms
(/ (- a t) y)
18.0ms
(/ (- z t) (/ (- a t) y))

series226.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(+ (/ (- z t) (/ (- a t) y)) x)
27.0ms
(/ (- a t) y)
105.0ms
(/ (- z t) (/ (- a t) y))

simplify81.0ms

Algorithm
egg-herbie
Counts
303 → 303
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07911747
130181690
250011690

prune740.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
0.0b
(+ (* (/ (- z t) (- a t)) y) x)
2.0b
(* (/ (- z t) (- a t)) y)

rewrite52.0ms

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:
12.0ms
(/ (- z t) (- a t))
9.0ms
(+ (* (/ (- z t) (- a t)) y) x)
26.0ms
(* (/ (- z t) (- a t)) y)

series252.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- z t) (- a t))
94.0ms
(+ (* (/ (- z t) (- a t)) y) x)
109.0ms
(* (/ (- z t) (- a t)) y)

simplify45.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0448783
11394739
25001738

prune294.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes125.0ms

Accuracy

25.1% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.4b

bsearch73.0ms

Steps
ItersRangePoint
8
1.7519298918826495e-163
1.002052043121622e-160
5.580242286671418e-161
7
-5.3593198360062826e+85
-1.0865749620981459e+84
-1.1078440430247794e+84

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03111
13111

end0.0ms

sample546.0ms

Algorithm
intervals
Results
288.0ms8747×body80valid
0.0ms1×body320valid