Details

Time bar (total: 4.3s)

sample23.0ms

Algorithm
intervals
Results
11.0ms276×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0205
1345
2555
3935
41495
51845
62025
72295
82805
93725
104655
117685
128765
138785
148785

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize8.0ms

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)))

rewrite28.0ms

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))
13.0ms
(* y (/ (- z t) (- a t)))

series181.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(+ x (* y (/ (- z t) (- a t))))
44.0ms
(/ (- z t) (- a t))
64.0ms
(* y (/ (- z t) (- a t)))

simplify46.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0421747
11657704
25001704

prune277.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite28.0ms

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)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(+ x (* y (/ (- z t) (- a t))))
47.0ms
(/ (- z t) (- a t))
63.0ms
(* y (/ (- z t) (- a t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0421747
11657704
25001704

prune303.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b
(/ (- a t) (- z t))
0.3b
(/ 1 (/ (- a t) (- z t)))
1.7b
(* y (/ 1 (/ (- a t) (- z t))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
336×add-sqr-sqrt
324×*-un-lft-identity
158×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×add-exp-log associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num associate-/l/
1×+-commutative pow-flip flip3-+ div-sub associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 338
Calls
4 calls:
3.0ms
(+ x (* y (/ 1 (/ (- a t) (- z t)))))
8.0ms
(/ (- a t) (- z t))
12.0ms
(/ 1 (/ (- a t) (- z t)))
32.0ms
(* y (/ 1 (/ (- a t) (- z t))))

series428.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(+ x (* y (/ 1 (/ (- a t) (- z t)))))
45.0ms
(/ (- a t) (- z t))
131.0ms
(/ 1 (/ (- a t) (- z t)))
137.0ms
(* y (/ 1 (/ (- a t) (- z t))))

simplify101.0ms

Algorithm
egg-herbie
Counts
350 → 350
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
09502838
147592549
250012263

prune696.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

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)))

rewrite65.0ms

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:
33.0ms
(+ x (/ y (/ (- a t) (- z t))))
9.0ms
(/ (- a t) (- z t))
12.0ms
(/ y (/ (- a t) (- z t)))

series302.0ms

Counts
3 → 9
Calls
3 calls:
117.0ms
(+ x (/ y (/ (- a t) (- z t))))
44.0ms
(/ (- a t) (- z t))
141.0ms
(/ y (/ (- a t) (- z t)))

simplify76.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06971888
130511835
250021832

prune546.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes207.0ms

Accuracy

65.9% (0.4b remaining)

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

bsearch76.0ms

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
03217
13217

end0.0ms

sample537.0ms

Algorithm
intervals
Results
265.0ms8701×body80valid