Details

Time bar (total: 4.9s)

sample19.0ms

Algorithm
intervals
Results
8.0ms276×body80valid

simplify22.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0204
1464
2884
31384
41884
52364
62604
72634
82634

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* z (- y t)) 2.0)
0.0b
(* z (- y t))
6.5b
(/ x (/ (* z (- y t)) 2.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
37×*-un-lft-identity
36×times-frac
35×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg flip3-- frac-2neg clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 121
Calls
3 calls:
11.0ms
(/ (* z (- y t)) 2.0)
12.0ms
(* z (- y t))
6.0ms
(/ x (/ (* z (- y t)) 2.0))

series134.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ (* z (- y t)) 2.0)
35.0ms
(* z (- y t))
44.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0498867
12215667
25001667

prune258.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
3.8b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
243×times-frac
184×add-sqr-sqrt
157×*-un-lft-identity
112×add-cube-cbrt
62×associate-*r*
46×add-exp-log
28×add-cbrt-cube
21×div-exp distribute-lft-out-- difference-of-squares
19×associate-/r*
13×associate-*l*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 212
Calls
2 calls:
9.0ms
(/ x (/ (- y t) 2.0))
45.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ x (/ (- y t) 2.0))
50.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify100.0ms

Algorithm
egg-herbie
Counts
218 → 218
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09191696
142841528
250011521

prune501.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (/ (- y t) 2.0))
3.7b
(/ (/ x (/ (- y t) 2.0)) z)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
711×times-frac
405×add-sqr-sqrt *-un-lft-identity
309×add-cube-cbrt
65×associate-/l*
48×distribute-lft-out-- difference-of-squares
22×associate-/r* div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r/
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 366
Calls
2 calls:
9.0ms
(/ x (/ (- y t) 2.0))
29.0ms
(/ (/ x (/ (- y t) 2.0)) z)

series116.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ x (/ (- y t) 2.0))
80.0ms
(/ (/ x (/ (- y t) 2.0)) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013633876
150013759

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

3.8b
(* (/ 1 z) (/ x (/ (- y t) 2.0)))
18.2b
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))
18.2b
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))
18.2b
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
106×add-sqr-sqrt
79×*-un-lft-identity
62×associate-*r*
58×add-cube-cbrt
43×add-exp-log
25×add-cbrt-cube
18×div-exp
13×associate-*l*
12×prod-exp
9×cbrt-undiv cbrt-div distribute-lft-out-- difference-of-squares unswap-sqr
6×pow1 cbrt-unprod
5×div-inv
4×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u add-log-exp
3×cbrt-prod rec-exp pow1/3 1-exp
1×pow-prod-down associate-/r/ *-commutative
Counts
4 → 158
Calls
4 calls:
44.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))
11.0ms
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))
10.0ms
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))
11.0ms
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))

series560.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (/ 1 z) (/ x (/ (- y t) 2.0)))
174.0ms
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))
165.0ms
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))
172.0ms
(cbrt (* (/ 1 z) (/ x (/ (- y t) 2.0))))

simplify91.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08431344
138831165
250011149

prune567.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes174.0ms

Accuracy

58% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 5.9b

bsearch4.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02913
12913

end0.0ms

sample666.0ms

Algorithm
intervals
Results
444.0ms8764×body80valid