Details

Time bar (total: 8.5s)

sample24.0ms

Algorithm
intervals
Results
8.0ms252×body80valid
1.0ms13×body640valid
1.0ms15×body320valid
1.0ms8×body1280valid
0.0ms8×body160valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
15.3b
(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)

series143.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- y x) (- a t))
93.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify60.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune226.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
2.6b
(+ (* (/ (- y x) (- a t)) (- z t)) x)
6.1b
(* (/ (- y x) (- a t)) (- z t))

rewrite77.0ms

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)
40.0ms
(* (/ (- y x) (- a t)) (- z t))

series439.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (- y x) (- a t))
172.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
215.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify82.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06841508
125811283
250031263

prune510.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.5b
(* (- y x) (/ (- z t) (- a t)))
1.9b
(+ (* (- y x) (/ (- z t) (- a t))) x)

rewrite63.0ms

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:
13.0ms
(/ (- z t) (- a t))
33.0ms
(* (- y x) (/ (- z t) (- a t)))
12.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

series347.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (- z t) (- a t))
126.0ms
(* (- y x) (/ (- z t) (- a t)))
168.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

simplify58.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0491904
12052854
25002852

prune384.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.8b

localize13.0ms

Local error

Found 4 expressions with local error:

2.7b
(cbrt (* (- y x) (/ (- z t) (- a t))))
2.7b
(cbrt (* (- y x) (/ (- z t) (- a t))))
2.7b
(cbrt (* (- y x) (/ (- z t) (- a t))))
8.4b
(+ (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))) x)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-div
6×frac-times flip3-- associate-*l/ flip-- add-log-exp
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u
3×cbrt-prod pow1/3 associate-*r/
1×+-commutative fma-def flip3-+ sum-log flip-+
Counts
4 → 62
Calls
4 calls:
10.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
9.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
9.0ms
(cbrt (* (- y x) (/ (- z t) (- a t))))
49.0ms
(+ (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))) x)

series4.1s

Counts
4 → 12
Calls
4 calls:
1.3s
(cbrt (* (- y x) (/ (- z t) (- a t))))
1.3s
(cbrt (* (- y x) (/ (- z t) (- a t))))
1.3s
(cbrt (* (- y x) (/ (- z t) (- a t))))
162.0ms
(+ (* (* (cbrt (* (- y x) (/ (- z t) (- a t)))) (cbrt (* (- y x) (/ (- z t) (- a t))))) (cbrt (* (- y x) (/ (- z t) (- a t))))) x)

simplify87.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0253966
1719799
22951770
35001719

prune587.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.8b

regimes260.0ms

Accuracy

15% (6.5b remaining)

Error of 10.4b against oracle of 3.9b and baseline of 11.6b

bsearch90.0ms

Steps
ItersRangePoint
4
9.43081911393732e-212
1.422627522925298e-211
1.1030275495192448e-211
10
-1.9397085611524536e-194
-4.033548273841036e-211
-1.5165747926583058e-205

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02811
12811

end0.0ms

sample685.0ms

Algorithm
intervals
Results
254.0ms7778×body80valid
55.0ms475×body640valid
47.0ms277×body1280valid
38.0ms387×body320valid
18.0ms301×body160valid
2.0ms11×body2560valid