Details

Time bar (total: 4.4s)

sample29.0ms

Algorithm
intervals
Results
8.0ms255×body80valid
2.0ms15×body640valid
1.0ms16×body320valid
1.0ms9×body1280valid
0.0ms7×body160valid
0.0ms1×body2560valid

simplify103.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.5b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
15.2b
(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)

series135.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- y x) (- a t))
88.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify70.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune220.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
3.9b
(+ (* (/ (- y x) (- a t)) (- z t)) x)
5.4b
(* (/ (- y x) (- a t)) (- z t))

rewrite135.0ms

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:
25.0ms
(/ (- y x) (- a t))
41.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
62.0ms
(* (/ (- y x) (- a t)) (- z t))

series391.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (- y x) (- a t))
145.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
194.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify90.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
06841508
125811283
250031263

prune514.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.1b
(* (- y x) (/ (- z t) (- a t)))
2.1b
(+ (* (- y x) (/ (- z t) (- a t))) x)

rewrite113.0ms

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:
26.0ms
(/ (- z t) (- a t))
59.0ms
(* (- y x) (/ (- z t) (- a t)))
23.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

series306.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- z t) (- a t))
114.0ms
(* (- y x) (/ (- z t) (- a t)))
146.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

simplify75.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0491904
12052854
25002852

prune387.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.3b
(* (- y x) (/ 1 (- a t)))
15.2b
(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 105
Calls
3 calls:
12.0ms
(/ 1 (- a t))
48.0ms
(* (- y x) (/ 1 (- a t)))
0.0ms
(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

series171.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- a t))
48.0ms
(* (- y x) (/ 1 (- a t)))
86.0ms
(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

simplify56.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0351602
11495525
25001481

prune274.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 3.3b

regimes283.0ms

Accuracy

19.8% (6.4b remaining)

Error of 10.0b against oracle of 3.7b and baseline of 11.6b

bsearch91.0ms

Steps
ItersRangePoint
8
2.3447525200782928e-88
4.199934233506477e-84
4.4690186848301644e-88
8
-3.4959051772965062e-186
-1.0915813278155385e-190
-1.4991308812100467e-188

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02811
12811

end0.0ms

sample763.0ms

Algorithm
intervals
Results
245.0ms7833×body80valid
54.0ms480×body640valid
38.0ms427×body320valid
36.0ms268×body1280valid
14.0ms253×body160valid
2.0ms12×body2560valid