Details

Time bar (total: 3.7s)

sample25.0ms

Algorithm
intervals
Results
8.0ms258×body80valid
2.0ms12×body640valid
1.0ms9×body1280valid
1.0ms12×body320valid
1.0ms10×body160valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
14.5b
(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)

series131.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- y x) (- a t))
83.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify58.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune210.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
4.6b
(+ (* (/ (- y x) (- a t)) (- z t)) x)
6.6b
(* (/ (- 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))
14.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
38.0ms
(* (/ (- y x) (- a t)) (- z t))

series375.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- y x) (- a t))
136.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
192.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify84.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06841508
125811283
250031263

prune405.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
3.2b
(+ (* (- y x) (/ (- z t) (- a t))) x)
3.5b
(* (- y x) (/ (- z t) (- a t)))

rewrite61.0ms

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

series305.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (- z t) (- a t))
141.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)
112.0ms
(* (- y x) (/ (- z t) (- a t)))

simplify56.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0491904
12052854
25003852

prune324.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
4.1b
(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)

series166.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- z t) (- a t))
117.0ms
(fma (- y x) (/ (- z t) (- a t)) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0266450
1727425
22557423
35001423

prune174.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 2.4b

regimes394.0ms

Accuracy

39.4% (4.8b remaining)

Error of 8.4b against oracle of 3.6b and baseline of 11.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03022
13022

end0.0ms

sample692.0ms

Algorithm
intervals
Results
254.0ms7778×body80valid
56.0ms441×body640valid
47.0ms277×body1280valid
43.0ms418×body320valid
16.0ms263×body160valid
3.0ms15×body2560valid