Details

Time bar (total: 4.7s)

sample38.0ms

Algorithm
intervals
Results
15.0ms243×body80valid
4.0ms16×body640valid
3.0ms18×body320valid
1.0ms11×body160valid
1.0ms3×body1280valid
0.0ms1×body2560valid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.7b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
15.7b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite15.0ms

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:
12.0ms
(/ (- y x) (- a t))
0.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

series143.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- y x) (- a t))
91.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify62.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune226.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
5.1b
(+ (* (/ (- y x) (- a t)) (- z t)) x)
5.3b
(* (/ (- y x) (- a t)) (- z t))

rewrite73.0ms

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))
18.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
35.0ms
(* (/ (- y x) (- a t)) (- z t))

series416.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (- y x) (- a t))
151.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
214.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify78.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06841508
125811283
250031263

prune483.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.4b
(* (- y x) (/ (- z t) (- a t)))
3.6b
(+ (* (- y x) (/ (- z t) (- a t))) x)

rewrite60.0ms

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))
32.0ms
(* (- y x) (/ (- z t) (- a t)))
11.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

series332.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ (- z t) (- a t))
119.0ms
(* (- y x) (/ (- z t) (- a t)))
159.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0491904
12052854
25002852

prune615.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
4.5b
(fma (- y x) (/ (- z t) (- a t)) x)

rewrite15.0ms

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:
12.0ms
(/ (- z t) (- a t))
0.0ms
(fma (- y x) (/ (- z t) (- a t)) x)

series162.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- z t) (- a t))
109.0ms
(fma (- y x) (/ (- z t) (- a t)) x)

simplify71.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0266450
1727425
22557423
35001423

prune192.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.3b

regimes271.0ms

Accuracy

18.8% (6.8b remaining)

Error of 10.6b against oracle of 3.8b and baseline of 12.1b

bsearch108.0ms

Steps
ItersRangePoint
6
9.208685981808595e-150
9.857230472394243e-149
1.7667023297984618e-149
8
-1.3035949753897318e-145
-2.4095075403865773e-148
-9.246280592694372e-147

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02916
12916

end0.0ms

sample1.1s

Algorithm
intervals
Results
495.0ms7717×body80valid
116.0ms492×body640valid
89.0ms269×body1280valid
79.0ms423×body320valid
36.0ms298×body160valid
6.0ms17×body2560valid