Details

Time bar (total: 5.4s)

sample28.0ms

Algorithm
intervals
Results
9.0ms257×body80valid
2.0ms15×body640valid
2.0ms10×body1280valid
1.0ms11×body320valid
0.0ms4×body160valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.9b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
12.4b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
13.0ms
(/ (- y x) (- a t))
0.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

series151.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- y x) (- a t))
96.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify69.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune242.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
2.4b
(+ (* (/ (- y x) (- a t)) (- z t)) x)
4.4b
(* (/ (- y x) (- a t)) (- z t))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
97×*-un-lft-identity
51×add-cube-cbrt times-frac
36×prod-diff
31×associate-*l*
23×distribute-lft-out-- difference-of-squares
22×distribute-rgt-in associate-+l+ distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*r* associate-/r* flip-- associate-/l* add-log-exp
4×sub-neg associate-/r/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times associate-*r/ 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 → 170
Calls
3 calls:
13.0ms
(/ (- y x) (- a t))
15.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
41.0ms
(* (/ (- y x) (- a t)) (- z t))

series445.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(/ (- y x) (- a t))
160.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
226.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify82.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06841508
125811283
250031263

prune543.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.4b
(+ (* (- y x) (/ (- z t) (- a t))) x)
2.1b
(* (- y x) (/ (- z t) (- a t)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 126
Calls
3 calls:
12.0ms
(/ (- z t) (- a t))
15.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)
35.0ms
(* (- y x) (/ (- z t) (- a t)))

series355.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (- z t) (- a t))
173.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)
129.0ms
(* (- y x) (/ (- z t) (- a t)))

simplify71.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0491904
12052854
25003852

prune420.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.4b

localize15.0ms

Local error

Found 4 expressions with local error:

1.4b
(+ (* (- y x) (/ (- z t) (- a t))) x)
2.1b
(* (- y x) (/ (- z t) (- a t)))
2.1b
(* (- y x) (/ (- z t) (- a t)))
2.1b
(* (- y x) (/ (- z t) (- a t)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
121×add-sqr-sqrt
106×*-un-lft-identity
93×associate-*r*
78×times-frac
40×add-cube-cbrt
33×distribute-lft-out-- difference-of-squares
19×add-exp-log add-cbrt-cube
15×associate-*l*
10×pow1
9×flip3-- flip--
6×frac-times associate-*l/ prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv
1×+-commutative fma-def flip3-+ sum-log flip-+
Counts
4 → 188
Calls
4 calls:
11.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)
34.0ms
(* (- y x) (/ (- z t) (- a t)))
37.0ms
(* (- y x) (/ (- z t) (- a t)))
35.0ms
(* (- y x) (/ (- z t) (- a t)))

series562.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)
126.0ms
(* (- y x) (/ (- z t) (- a t)))
126.0ms
(* (- y x) (/ (- z t) (- a t)))
133.0ms
(* (- y x) (/ (- z t) (- a t)))

simplify67.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
03881335
117241255
250031253

prune711.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.4b

regimes332.0ms

Accuracy

10.4% (7.1b remaining)

Error of 10.6b against oracle of 3.6b and baseline of 11.4b

bsearch108.0ms

Steps
ItersRangePoint
6
3.7632251814877455e-125
1.6714441882618097e-124
3.803402293530504e-125
10
-1.6489987475949222e-61
-2.525196617024818e-75
-7.443943965241549e-72

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02811
12811

end0.0ms

sample746.0ms

Algorithm
intervals
Results
276.0ms7839×body80valid
57.0ms458×body640valid
47.0ms279×body1280valid
40.0ms425×body320valid
16.0ms249×body160valid
3.0ms14×body2560valid