Details

Time bar (total: 4.9s)

sample29.0ms

Algorithm
intervals
Results
7.0ms240×body80valid
2.0ms22×body320valid
2.0ms14×body640valid
1.0ms8×body1280valid
1.0ms15×body160valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
18.4b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite28.0ms

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:
25.0ms
(/ (- y x) (- a t))
0.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

series161.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (- y x) (- a t))
104.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify66.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune223.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 9.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
5.5b
(+ (* (/ (- y x) (- a t)) (- z t)) x)
7.7b
(* (/ (- y x) (- a t)) (- z t))

rewrite130.0ms

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:
24.0ms
(/ (- y x) (- a t))
30.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
67.0ms
(* (/ (- y x) (- a t)) (- z t))

series460.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ (- y x) (- a t))
172.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
229.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify78.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06841508
125811283
250031263

prune510.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 9.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.0b
(* (- y x) (/ (- z t) (- a t)))
3.8b
(+ (* (- y x) (/ (- z t) (- a t))) x)

rewrite119.0ms

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:
24.0ms
(/ (- z t) (- a t))
63.0ms
(* (- y x) (/ (- z t) (- a t)))
25.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

series368.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(/ (- z t) (- a t))
131.0ms
(* (- y x) (/ (- z t) (- a t)))
179.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

simplify60.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0491904
12052854
25002852

prune402.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.0b
(* (- y x) (* 1 (/ (- z t) (- a t))))
3.8b
(+ (* (- y x) (* 1 (/ (- z t) (- a t)))) x)

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt *-un-lft-identity
25×times-frac
19×add-exp-log
16×add-cube-cbrt
14×add-cbrt-cube
13×distribute-lft-out-- difference-of-squares
9×prod-exp
8×pow1
5×associate-*l* associate-/r* cbrt-unprod associate-/l* add-log-exp
4×flip3-- associate-*r/ flip--
3×expm1-log1p-u div-exp pow-prod-down log1p-expm1-u
2×cbrt-undiv frac-times 1-exp associate-*l/ associate-/r/ associate-/l/
1×+-commutative fma-def frac-2neg flip3-+ div-sub associate-*r* clear-num sum-log *-commutative flip-+ div-inv
Counts
3 → 99
Calls
3 calls:
26.0ms
(/ (- z t) (- a t))
64.0ms
(* (- y x) (* 1 (/ (- z t) (- a t))))
57.0ms
(+ (* (- y x) (* 1 (/ (- z t) (- a t)))) x)

series370.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (- z t) (- a t))
137.0ms
(* (- y x) (* 1 (/ (- z t) (- a t))))
179.0ms
(+ (* (- y x) (* 1 (/ (- z t) (- a t)))) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0486758
11790689
25001686

prune280.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.0b

regimes446.0ms

Accuracy

20% (6.5b remaining)

Error of 10.1b against oracle of 3.6b and baseline of 11.7b

bsearch81.0ms

Steps
ItersRangePoint
5
1.124689931308346e-195
2.734698859313668e-195
2.219619941201998e-195
9
-7.464871399016455e-159
-6.740184275300041e-164
-1.4128179681554741e-161

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03011
13211
23211

end0.0ms

sample787.0ms

Algorithm
intervals
Results
251.0ms7797×body80valid
52.0ms477×body640valid
39.0ms263×body1280valid
36.0ms431×body320valid
15.0ms262×body160valid
3.0ms15×body2560valid