Details

Time bar (total: 4.8s)

sample20.0ms

Algorithm
intervals
Results
8.0ms276×body80valid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0175
1325
2575
31005
41445
51775
62035
72635
83525
94455
106865
119095
129325
139325

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) (- a t)))
11.2b
(/ (* y (- z t)) (- a t))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-/r* add-log-exp
4×associate-*r/
3×flip3-- associate-*l* flip-- 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 associate-/l/
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 → 67
Calls
3 calls:
6.0ms
(* y (- z t))
7.0ms
(+ x (/ (* y (- z t)) (- a t)))
9.0ms
(/ (* y (- z t)) (- a t))

series175.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* y (- z t))
77.0ms
(+ x (/ (* y (- z t)) (- a t)))
64.0ms
(/ (* y (- z t)) (- a t))

simplify42.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0334381
11437342
25001342

prune172.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- a t))))
0.0b
(/ (- z t) (- a t))
1.7b
(* y (/ (- z t) (- a t)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
3.0ms
(+ x (* y (/ (- z t) (- a t))))
8.0ms
(/ (- z t) (- a t))
14.0ms
(* y (/ (- z t) (- a t)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(+ x (* y (/ (- z t) (- a t))))
45.0ms
(/ (- z t) (- a t))
67.0ms
(* y (/ (- z t) (- a t)))

simplify50.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0421747
11657704
25001704

prune270.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ (- a t) (- z t))))
0.0b
(/ (- a t) (- z t))
1.7b
(/ y (/ (- a t) (- z t)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
197×*-un-lft-identity
195×add-sqr-sqrt
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num associate-/l/
1×+-commutative flip3-+ div-sub sum-log flip-+ distribute-lft-out
Counts
3 → 206
Calls
3 calls:
26.0ms
(+ x (/ y (/ (- a t) (- z t))))
8.0ms
(/ (- a t) (- z t))
16.0ms
(/ y (/ (- a t) (- z t)))

series313.0ms

Counts
3 → 9
Calls
3 calls:
112.0ms
(+ x (/ y (/ (- a t) (- z t))))
51.0ms
(/ (- a t) (- z t))
150.0ms
(/ y (/ (- a t) (- z t)))

simplify78.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06971888
130511835
250021832

prune507.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
0.0b
(/ (- a t) (- z t))
0.5b
(/ 1 (/ (/ (- a t) (- z t)) y))
1.6b
(/ (/ (- a t) (- z t)) y)

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
1181×times-frac
797×*-un-lft-identity
794×add-sqr-sqrt
450×add-cube-cbrt
172×distribute-lft-out-- difference-of-squares
105×associate-/r*
39×associate-/l*
35×associate-/r/
32×add-exp-log
24×div-inv
20×add-cbrt-cube
19×div-exp
18×flip3-- flip--
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 → 624
Calls
4 calls:
73.0ms
(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
8.0ms
(/ (- a t) (- z t))
30.0ms
(/ 1 (/ (/ (- a t) (- z t)) y))
13.0ms
(/ (/ (- a t) (- z t)) y)

series655.0ms

Counts
4 → 12
Calls
4 calls:
356.0ms
(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
47.0ms
(/ (- a t) (- z t))
166.0ms
(/ 1 (/ (/ (- a t) (- z t)) y))
87.0ms
(/ (/ (- a t) (- z t)) y)

simplify103.0ms

Algorithm
egg-herbie
Counts
636 → 636
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
018307509
150026291

prune1.1s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes194.0ms

Accuracy

65.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.2b

bsearch78.0ms

Steps
ItersRangePoint
8
5.356607675670269e+24
1.259208903939255e+29
5.493382752707537e+24
9
-1.0795662706341059e-63
-7.932936434319813e-72
-8.069160433662235e-64

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02715
12715

end0.0ms

sample514.0ms

Algorithm
intervals
Results
267.0ms8701×body80valid