Details

Time bar (total: 2.4s)

sample29.0ms

Algorithm
intervals
Results
10.0ms281×body80valid

simplify48.0ms

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

prune9.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.3b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- z t) (- a t))))
0.0b
(/ (- z t) (- a t))
2.1b
(* 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)))

series54.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ x (* y (/ (- z t) (- a t))))
10.0ms
(/ (- z t) (- a t))
16.0ms
(* y (/ (- z t) (- a t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0421747
11657704
25001704

prune138.0ms

Filtered
122 candidates to 83 candidates (32.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1157122
Fresh000
Picked101
Done000
Total1167123

Merged error: 0b

Counts
123 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))

series103.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a t))
27.0ms
(cbrt (- z t))
25.0ms
(cbrt (- z t))
25.0ms
(cbrt (- z t))

simplify45.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0244452
1524432
21495384
35001349

prune105.0ms

Filtered
72 candidates to 56 candidates (22.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New72072
Fresh066
Picked011
Done000
Total72779

Merged error: 0b

Counts
79 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- a t))
0.0b
(/ t (- a t))
0.0b
(- (/ z (- a t)) (/ t (- a t)))
2.1b
(* y (- (/ z (- a t)) (/ t (- a t))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
80×add-sqr-sqrt
66×times-frac
32×distribute-lft-out--
30×add-cube-cbrt
20×difference-of-squares
18×associate-*r*
12×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
8×flip3-- flip--
6×pow1 distribute-rgt-out-- div-inv associate-/l* add-log-exp
4×associate-*r/
3×sub-neg associate-*l*
2×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp clear-num frac-sub sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 144
Calls
4 calls:
5.0ms
(/ z (- a t))
5.0ms
(/ t (- a t))
27.0ms
(- (/ z (- a t)) (/ t (- a t)))
29.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

series51.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ z (- a t))
8.0ms
(/ t (- a t))
13.0ms
(- (/ z (- a t)) (/ t (- a t)))
23.0ms
(* y (- (/ z (- a t)) (/ t (- a t))))

simplify50.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0434894
11618844
25002844

prune149.0ms

Filtered
156 candidates to 113 candidates (27.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1551156
Fresh235
Picked011
Done101
Total1585163

Merged error: 0b

Counts
163 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (/ y (- a t)) (- z t)))
0.0b
(/ y (- a t))
9.7b
(* (/ y (- a t)) (- z t))

rewrite25.0ms

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)))
5.0ms
(/ y (- a t))
14.0ms
(* (/ y (- a t)) (- z t))

series67.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ x (* (/ y (- a t)) (- z t)))
7.0ms
(/ y (- a t))
26.0ms
(* (/ y (- a t)) (- z t))

simplify47.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0408616
11631576
25002576

prune94.0ms

Filtered
111 candidates to 80 candidates (27.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1101111
Fresh123
Picked011
Done011
Total1115116

Merged error: 0b

Counts
116 → 5

regimes425.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137
1137

end0.0ms

sample783.0ms

Algorithm
intervals
Results
314.0ms8734×body80valid

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