Details

Time bar (total: 4.3s)

sample19.0ms

Algorithm
intervals
Results
8.0ms283×body80valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- a t))))
0.0b
(/ (- z t) (- a t))
2.7b
(* y (/ (- z t) (- a t)))

rewrite45.0ms

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:
2.0ms
(+ x (* y (/ (- z t) (- a t))))
10.0ms
(/ (- z t) (- a t))
27.0ms
(* y (/ (- z t) (- a t)))

series187.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ x (* y (/ (- z t) (- a t))))
45.0ms
(/ (- z t) (- a t))
65.0ms
(* y (/ (- z t) (- a t)))

simplify45.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0421747
11657704
25001704

prune278.0ms

Filtered
122 candidates to 83 candidates (68.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

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)))
2.7b
(* y (/ 1 (/ (- a t) (- z t))))

rewrite105.0ms

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:
2.0ms
(+ x (* y (/ 1 (/ (- a t) (- z t)))))
11.0ms
(/ (- a t) (- z t))
18.0ms
(/ 1 (/ (- a t) (- z t)))
51.0ms
(* y (/ 1 (/ (- a t) (- z t))))

series613.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(+ x (* y (/ 1 (/ (- a t) (- z t)))))
49.0ms
(/ (- a t) (- z t))
304.0ms
(/ 1 (/ (- a t) (- z t)))
149.0ms
(* y (/ 1 (/ (- a t) (- z t))))

simplify109.0ms

Algorithm
egg-herbie
Counts
350 → 350
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
09502838
147592549
250012263

prune627.0ms

Filtered
350 candidates to 185 candidates (52.9%)
Pruning

5 alts after pruning (4 fresh and 1 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))
2.6b
(/ y (/ (- a t) (- z t)))

rewrite82.0ms

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:
45.0ms
(+ x (/ y (/ (- a t) (- z t))))
11.0ms
(/ (- a t) (- z t))
14.0ms
(/ y (/ (- a t) (- z t)))

series297.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(+ x (/ y (/ (- a t) (- z t))))
48.0ms
(/ (- a t) (- z t))
142.0ms
(/ y (/ (- a t) (- z t)))

simplify72.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06971888
130511835
250021832

prune466.0ms

Filtered
215 candidates to 143 candidates (66.5%)
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
(/ y (- a t))
8.5b
(* (/ y (- a t)) (- z t))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*l*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*r* associate-/r* add-log-exp
4×distribute-rgt-in sub-neg associate-+r+ flip3-- distribute-lft-in associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 102
Calls
3 calls:
3.0ms
(+ x (* (/ y (- a t)) (- z t)))
6.0ms
(/ y (- a t))
27.0ms
(* (/ y (- a t)) (- z t))

series282.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(+ x (* (/ y (- a t)) (- z t)))
27.0ms
(/ y (- a t))
146.0ms
(* (/ y (- a t)) (- z t))

simplify43.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0408616
11631576
25001576

prune233.0ms

Filtered
111 candidates to 79 candidates (71.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes215.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample497.0ms

Algorithm
intervals
Results
255.0ms8721×body80valid
0.0ms1×body640valid
0.0ms1×body160valid