Details

Time bar (total: 4.8s)

sample34.0ms

Algorithm
intervals
Results
14.0ms274×body80valid

simplify68.0ms

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

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- a t))))
0.0b
(/ (- z t) (- a t))
1.3b
(* y (/ (- z t) (- a t)))

rewrite53.0ms

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:
5.0ms
(+ x (* y (/ (- z t) (- a t))))
13.0ms
(/ (- z t) (- a t))
27.0ms
(* y (/ (- z t) (- a t)))

series209.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(+ x (* y (/ (- z t) (- a t))))
45.0ms
(/ (- z t) (- a t))
89.0ms
(* y (/ (- z t) (- a t)))

simplify46.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0421747
11657704
25001704

prune259.0ms

Filtered
122 candidates to 83 candidates (68.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))
1.3b
(* y (/ 1 (/ (- a t) (- z t))))

rewrite79.0ms

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)))))
8.0ms
(/ (- a t) (- z t))
12.0ms
(/ 1 (/ (- a t) (- z t)))
32.0ms
(* y (/ 1 (/ (- a t) (- z t))))

series445.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(+ x (* y (/ 1 (/ (- a t) (- z t)))))
46.0ms
(/ (- a t) (- z t))
133.0ms
(/ 1 (/ (- a t) (- z t)))
142.0ms
(* y (/ 1 (/ (- a t) (- z t))))

simplify136.0ms

Algorithm
egg-herbie
Counts
350 → 350
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
09502838
147592549
250012263

prune654.0ms

Filtered
350 candidates to 185 candidates (52.9%)
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 (pow (/ y (/ (- a t) (- z t))) 1))
0.0b
(/ (- a t) (- z t))
1.3b
(/ y (/ (- a t) (- z t)))

rewrite70.0ms

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:
34.0ms
(+ x (pow (/ y (/ (- a t) (- z t))) 1))
8.0ms
(/ (- a t) (- z t))
16.0ms
(/ y (/ (- a t) (- z t)))

series335.0ms

Counts
3 → 9
Calls
3 calls:
131.0ms
(+ x (pow (/ y (/ (- a t) (- z t))) 1))
52.0ms
(/ (- a t) (- z t))
153.0ms
(/ y (/ (- a t) (- z t)))

simplify79.0ms

Algorithm
egg-herbie
Counts
215 → 215
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
07021899
131321841
250011839

prune542.0ms

Filtered
215 candidates to 147 candidates (68.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (pow (/ (- a t) (- z t)) (- 1))))
0.0b
(/ (- a t) (- z t))
0.3b
(pow (/ (- a t) (- z t)) (- 1))
1.3b
(* y (pow (/ (- a t) (- z t)) (- 1)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
115×add-sqr-sqrt
107×*-un-lft-identity
76×times-frac
64×unpow-prod-down
43×add-cube-cbrt
35×associate-*r*
32×distribute-lft-out-- difference-of-squares
17×add-exp-log
10×pow-unpow
8×add-cbrt-cube
6×associate-/r/ add-log-exp
5×pow1 associate-/r* associate-/l*
4×flip3-- pow-exp prod-exp flip-- unswap-sqr
3×distribute-lft-neg-in pow-neg distribute-rgt-neg-in div-exp associate-*l* div-inv sqr-pow
2×neg-sub0 pow-to-exp associate-*r/ associate-/l/ pow-sub
1×cbrt-undiv +-commutative neg-mul-1 pow-pow frac-2neg flip3-+ div-sub clear-num sum-log un-div-inv *-commutative cbrt-unprod flip-+
Counts
4 → 176
Calls
4 calls:
3.0ms
(+ x (* y (pow (/ (- a t) (- z t)) (- 1))))
8.0ms
(/ (- a t) (- z t))
10.0ms
(pow (/ (- a t) (- z t)) (- 1))
17.0ms
(* y (pow (/ (- a t) (- z t)) (- 1)))

series440.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(+ x (* y (pow (/ (- a t) (- z t)) (- 1))))
46.0ms
(/ (- a t) (- z t))
137.0ms
(pow (/ (- a t) (- z t)) (- 1))
147.0ms
(* y (pow (/ (- a t) (- z t)) (- 1)))

simplify65.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
06091480
120791421
250011414

prune453.0ms

Filtered
188 candidates to 126 candidates (67.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes197.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample566.0ms

Algorithm
intervals
Results
280.0ms8696×body80valid
0.0ms1×body640valid