Details

Time bar (total: 5.1s)

sample25.0ms

Algorithm
intervals
Results
8.0ms245×body80valid
2.0ms19×body640valid
1.0ms11×body320valid
1.0ms14×body160valid
1.0ms5×body1280valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
16.7b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite18.0ms

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:
14.0ms
(/ (- y x) (- a t))
1.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

series149.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (- y x) (- a t))
90.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify74.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune256.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- y x) (/ 1 (- a t)))
16.7b
(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

rewrite27.0ms

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:
6.0ms
(/ 1 (- a t))
16.0ms
(* (- y x) (/ 1 (- a t)))
1.0ms
(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

series214.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ 1 (- a t))
68.0ms
(* (- y x) (/ 1 (- a t)))
105.0ms
(fma (* (- y x) (/ 1 (- a t))) (- z t) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0351602
11495525
25001481

prune335.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 7.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 (- a t)))
0.6b
(cbrt (/ 1 (- a t)))
0.6b
(cbrt (/ 1 (- a t)))
16.6b
(fma (* (* (- y x) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t)))) (- z t) x)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
49×add-sqr-sqrt *-un-lft-identity
45×times-frac
31×add-cube-cbrt
9×distribute-lft-out-- difference-of-squares
6×associate-/r/
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div flip3-- pow1/3 flip-- div-inv
1×fma-udef
Counts
4 → 106
Calls
4 calls:
6.0ms
(cbrt (/ 1 (- a t)))
6.0ms
(cbrt (/ 1 (- a t)))
6.0ms
(cbrt (/ 1 (- a t)))
1.0ms
(fma (* (* (- y x) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t)))) (- z t) x)

series646.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt (/ 1 (- a t)))
184.0ms
(cbrt (/ 1 (- a t)))
180.0ms
(cbrt (/ 1 (- a t)))
101.0ms
(fma (* (* (- y x) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t)))) (- z t) x)

simplify90.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
02601035
1631976
22425912
35001819

prune414.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 7.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
1.1b
(* (* (- z t) (/ 1 (- a t))) (- y x))
5.9b
(+ (* (* (- z t) (/ 1 (- a t))) (- y x)) x)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
68×*-un-lft-identity
49×add-cube-cbrt
36×prod-diff
32×add-exp-log times-frac
26×associate-*r*
22×distribute-rgt-in associate-+l+ distribute-lft-in
20×frac-times add-cbrt-cube
17×flip3-- flip--
14×associate-*l/
13×prod-exp
12×pow1
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×associate-*r/ div-exp associate-*l* add-log-exp
5×associate-/r*
4×expm1-log1p-u sub-neg pow-prod-down associate-/r/ un-div-inv log1p-expm1-u
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip fma-def frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 199
Calls
4 calls:
7.0ms
(/ 1 (- a t))
16.0ms
(* (- z t) (/ 1 (- a t)))
24.0ms
(* (* (- z t) (/ 1 (- a t))) (- y x))
21.0ms
(+ (* (* (- z t) (/ 1 (- a t))) (- y x)) x)

series708.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ 1 (- a t))
58.0ms
(* (- z t) (/ 1 (- a t)))
392.0ms
(* (* (- z t) (/ 1 (- a t))) (- y x))
209.0ms
(+ (* (* (- z t) (/ 1 (- a t))) (- y x)) x)

simplify131.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
08171722
142181329
250011324

prune610.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 4.5b

regimes427.0ms

Accuracy

0% (3.7b remaining)

Error of 7.3b against oracle of 3.6b and baseline of 7.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02011
12011

end0.0ms

sample693.0ms

Algorithm
intervals
Results
256.0ms7772×body80valid
60.0ms480×body640valid
43.0ms262×body1280valid
39.0ms389×body320valid
17.0ms286×body160valid
3.0ms17×body2560valid