Details

Time bar (total: 14.3s)

sample37.0ms

Algorithm
intervals
Results
15.0ms258×body80valid
3.0ms15×body640valid
2.0ms12×body320valid
1.0ms13×body160valid
1.0ms5×body1280valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0206
1456
21116
32886
47146
514936
633936
750026

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
3.6b
(+ x (/ (* (- y x) (- z t)) (- a t)))
18.6b
(/ (* (- y x) (- z t)) (- a t))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
13×flip3-- flip--
10×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-*l* associate-/r* add-log-exp
4×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
17.0ms
(* (- y x) (- z t))
10.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
13.0ms
(/ (* (- y x) (- z t)) (- a t))

series298.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* (- y x) (- z t))
151.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
110.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify51.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0468583
12162534
25003534

prune230.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.3b
(/ (- y x) (/ (- a t) (- z t)))
3.6b
(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
330×times-frac
323×*-un-lft-identity
321×add-sqr-sqrt
113×add-cube-cbrt
104×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×associate-/r/
10×add-exp-log add-cbrt-cube associate-/l*
9×flip3-- flip--
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×frac-2neg clear-num
1×+-commutative associate-+r- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 274
Calls
3 calls:
10.0ms
(/ (- a t) (- z t))
22.0ms
(/ (- y x) (/ (- a t) (- z t)))
64.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

series416.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (- a t) (- z t))
205.0ms
(/ (- y x) (/ (- a t) (- z t)))
160.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify99.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
010303053
142632984
250032984

prune601.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.2b
(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
1.3b
(/ (/ (- a t) (- z t)) (- y x))
5.0b
(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

rewrite370.0ms

Algorithm
rewrite-expression-head
Rules
1933×times-frac
1483×*-un-lft-identity
1480×add-sqr-sqrt
624×add-cube-cbrt
428×distribute-lft-out-- difference-of-squares
171×associate-/r*
65×associate-/r/
39×associate-/l*
34×div-inv
33×flip3-- flip--
32×add-exp-log
20×add-cbrt-cube
19×div-exp
10×cbrt-undiv
6×add-log-exp
5×pow1
3×rec-exp frac-2neg 1-exp div-sub clear-num associate-/l/
2×distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
4 → 946
Calls
4 calls:
15.0ms
(/ (- a t) (- z t))
45.0ms
(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
28.0ms
(/ (/ (- a t) (- z t)) (- y x))
183.0ms
(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

series886.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ (- a t) (- z t))
505.0ms
(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
156.0ms
(/ (/ (- a t) (- z t)) (- y x))
175.0ms
(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

simplify161.0ms

Algorithm
egg-herbie
Counts
958 → 958
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0235413203
1500111834

prune1.4s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.2b
(/ 1 (/ (- a t) (- z t)))
1.5b
(/ (/ 1 (/ (- a t) (- z t))) (/ 1 (- y x)))
5.0b
(+ x (/ (/ 1 (/ (- a t) (- z t))) (/ 1 (- y x))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
7457×times-frac
4433×*-un-lft-identity
4431×add-sqr-sqrt
2413×add-cube-cbrt
1009×distribute-lft-out-- difference-of-squares
364×associate-/r/
194×div-inv
171×flip3-- flip--
106×associate-/l*
100×add-exp-log
78×div-exp
57×associate-/r*
32×add-cbrt-cube
19×cbrt-undiv
17×rec-exp 1-exp
6×add-log-exp
5×pow1
3×frac-2neg clear-num associate-/l/
1×+-commutative pow-flip flip3-+ div-sub sum-log flip-+ distribute-lft-out inv-pow
Counts
4 → 2435
Calls
4 calls:
11.0ms
(/ (- a t) (- z t))
15.0ms
(/ 1 (/ (- a t) (- z t)))
89.0ms
(/ (/ 1 (/ (- a t) (- z t))) (/ 1 (- y x)))
604.0ms
(+ x (/ (/ 1 (/ (- a t) (- z t))) (/ 1 (- y x))))

series658.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ (- a t) (- z t))
130.0ms
(/ 1 (/ (- a t) (- z t)))
303.0ms
(/ (/ 1 (/ (- a t) (- z t))) (/ 1 (- y x)))
174.0ms
(+ x (/ (/ 1 (/ (- a t) (- z t))) (/ 1 (- y x))))

simplify446.0ms

Algorithm
egg-herbie
Counts
2447 → 2447
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
0500146160

prune5.9s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.5b

regimes248.0ms

Accuracy

12.3% (6.5b remaining)

Error of 10.8b against oracle of 4.3b and baseline of 11.7b

bsearch133.0ms

Steps
ItersRangePoint
11
1.3636951528383244e-120
2.1620732516896606e-97
1.3782715591853007e-120
9
-2.441408133185532e-87
-2.422168701536519e-92
-2.8458411894470345e-92

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03413
13413

end0.0ms

sample1.1s

Algorithm
intervals
Results
488.0ms7853×body80valid
116.0ms487×body640valid
74.0ms428×body320valid
70.0ms243×body1280valid
32.0ms278×body160valid
7.0ms20×body2560valid