Details

Time bar (total: 5.6s)

sample27.0ms

Algorithm
intervals
Results
9.0ms274×body80valid
2.0ms15×body640valid
1.0ms12×body320valid
1.0ms6×body1280valid
0.0ms5×body160valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0206
1456
21116
32886
47146
514936
633936
750026

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
1.8b
(+ x (/ (* (- y x) (- z t)) (- a t)))
18.9b
(/ (* (- 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:
19.0ms
(* (- y x) (- z t))
10.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
12.0ms
(/ (* (- y x) (- z t)) (- a t))

series310.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* (- y x) (- z t))
157.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
118.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify59.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0468583
12162534
25003534

prune247.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.1b
(/ (- y x) (/ (- a t) (- z t)))
1.8b
(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite110.0ms

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))
19.0ms
(/ (- y x) (/ (- a t) (- z t)))
60.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

series402.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- a t) (- z t))
203.0ms
(/ (- y x) (/ (- a t) (- z t)))
153.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify105.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
010303053
142632984
250032984

prune605.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.1b
(/ (- y x) (pow (/ (- a t) (- z t)) 1))
1.8b
(+ x (/ (- y x) (pow (/ (- a t) (- z t)) 1)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
350×times-frac
341×*-un-lft-identity
339×add-sqr-sqrt
186×unpow-prod-down
123×add-cube-cbrt
108×distribute-lft-out-- difference-of-squares
40×associate-/r*
14×associate-/r/
13×add-exp-log
10×associate-/l*
9×flip3-- flip--
8×div-inv
7×add-cbrt-cube
6×div-exp sqr-pow
5×add-log-exp
4×associate-/l/
3×pow1 div-sub
2×cbrt-undiv frac-2neg pow-exp clear-num
1×+-commutative pow-to-exp associate-+r- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 298
Calls
3 calls:
10.0ms
(/ (- a t) (- z t))
34.0ms
(/ (- y x) (pow (/ (- a t) (- z t)) 1))
84.0ms
(+ x (/ (- y x) (pow (/ (- a t) (- z t)) 1)))

series415.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ (- a t) (- z t))
202.0ms
(/ (- y x) (pow (/ (- a t) (- z t)) 1))
159.0ms
(+ x (/ (- y x) (pow (/ (- a t) (- z t)) 1)))

simplify106.0ms

Algorithm
egg-herbie
Counts
307 → 307
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
010253746
141523285
250013278

prune886.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (/ 1 (- a t)) (- z t))
1.1b
(* (- y x) (* (/ 1 (- a t)) (- z t)))
3.0b
(+ x (* (- y x) (* (/ 1 (- a t)) (- z t))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
26×associate-*l*
25×add-cube-cbrt
20×add-cbrt-cube
18×distribute-rgt-in frac-times distribute-lft-in
16×flip3-- flip--
13×associate-*r/ prod-exp
12×pow1
10×sub-neg
9×distribute-lft-out-- difference-of-squares
8×associate-+r+
7×cbrt-unprod
6×div-exp associate-*r* associate-*l/ add-log-exp
5×associate-/r*
4×pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 162
Calls
4 calls:
5.0ms
(/ 1 (- a t))
23.0ms
(* (/ 1 (- a t)) (- z t))
36.0ms
(* (- y x) (* (/ 1 (- a t)) (- z t)))
4.0ms
(+ x (* (- y x) (* (/ 1 (- a t)) (- z t))))

series523.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ 1 (- a t))
134.0ms
(* (/ 1 (- a t)) (- z t))
197.0ms
(* (- y x) (* (/ 1 (- a t)) (- z t)))
156.0ms
(+ x (* (- y x) (* (/ 1 (- a t)) (- z t))))

simplify85.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06541173
132541034
25001998

prune357.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.1b

regimes205.0ms

Accuracy

5% (7.2b remaining)

Error of 11.2b against oracle of 4.1b and baseline of 11.6b

bsearch67.0ms

Steps
ItersRangePoint
8
-6.578685622971137e-265
-1.0650341223018115e-267
-2.5321159423877618e-267
3
-3.1363874635068554e-217
-2.457055999620554e-217
-3.093929247013962e-217

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03413
13413

end0.0ms

sample722.0ms

Algorithm
intervals
Results
272.0ms7794×body80valid
58.0ms457×body640valid
45.0ms290×body1280valid
41.0ms402×body320valid
18.0ms275×body160valid
5.0ms27×body2560valid