Details

Time bar (total: 3.8s)

sample21.0ms

Algorithm
intervals
Results
9.0ms276×body80valid

simplify46.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.0b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.0b
(* y (/ (- z t) (- a t)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
8.0ms
(/ (- z t) (- a t))
16.0ms
(* y (/ (- z t) (- a t)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ (- z t) (- a t))
62.0ms
(* y (/ (- z t) (- a t)))

simplify40.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0349647
11396606
25001606

prune224.0ms

Filtered
108 candidates to 71 candidates (65.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New999108
Fresh000
Picked011
Done000
Total9910109

Merged error: 0.0b

Counts
109 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

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 (- z t))
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))

series540.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(cbrt (- z t))
136.0ms
(cbrt (- a t))
136.0ms
(cbrt (- a t))
134.0ms
(cbrt (- a t))

simplify159.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 4 (153.0ms)

IterNodesCost
0229428
1487408
21319396
34622372
45001364

prune251.0ms

Filtered
72 candidates to 60 candidates (83.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh088
Picked011
Done011
Total721082

Merged error: 0.0b

Counts
82 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.7b
(* (cbrt y) (/ (- z t) (- a t)))
1.6b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
39×*-un-lft-identity
32×associate-*r*
30×add-exp-log
27×times-frac
19×add-cube-cbrt
18×pow1 add-cbrt-cube
15×prod-exp cbrt-unprod
11×cbrt-prod
10×distribute-lft-out-- difference-of-squares
9×pow-prod-down
7×associate-*l*
4×add-log-exp unswap-sqr
3×cbrt-undiv associate-*r/ div-exp
2×pow1/3 associate-/r/ *-commutative
1×flip3-- flip-- div-inv
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
16.0ms
(* (cbrt y) (/ (- z t) (- a t)))
16.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

series598.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt y)
169.0ms
(cbrt y)
167.0ms
(* (cbrt y) (/ (- z t) (- a t)))
90.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))

simplify55.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0382805
11795651
25002619

prune277.0ms

Filtered
116 candidates to 75 candidates (64.7%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1160116
Fresh077
Picked011
Done022
Total11610126

Merged error: 0.0b

Counts
126 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.0b
(* y (- z t))
12.7b
(* (* y (- z t)) (/ 1 (- a t)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×*-un-lft-identity
31×add-exp-log
30×times-frac
26×associate-*r*
24×add-cube-cbrt
19×add-cbrt-cube
13×prod-exp
11×pow1
8×distribute-lft-out-- difference-of-squares
7×associate-*r/ cbrt-unprod
6×div-exp
5×flip3-- associate-/r* flip--
4×associate-*l* pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp
2×distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*l/ *-commutative div-inv
1×pow-flip frac-2neg clear-num un-div-inv inv-pow unswap-sqr
Counts
3 → 117
Calls
3 calls:
5.0ms
(/ 1 (- a t))
8.0ms
(* y (- z t))
22.0ms
(* (* y (- z t)) (/ 1 (- a t)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (- a t))
33.0ms
(* y (- z t))
62.0ms
(* (* y (- z t)) (/ 1 (- a t)))

simplify55.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0423635
12347538
25001495

prune174.0ms

Filtered
126 candidates to 67 candidates (53.2%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1242126
Fresh336
Picked011
Done033
Total1279136

Merged error: 0b

Counts
136 → 9

regimes355.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01919
11919

end0.0ms

sample616.0ms

Algorithm
intervals
Results
335.0ms8719×body80valid
0.0ms1×body2560valid
0.0ms1×body640valid

Profiling

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