Details

Time bar (total: 7.3s)

sample2.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 2.233887%

Guaranteed chance to sample good point: 47.415408%

Results
9.0ms256×body80valid
1.0ms22×body80invalid

simplify44.0ms

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.2b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.8b
(* y (/ (- z t) (- a t)))

rewrite25.0ms

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:
7.0ms
(/ (- z t) (- a t))
13.0ms
(* y (/ (- z t) (- a t)))

series25.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- z t) (- a t))
16.0ms
(* y (/ (- z t) (- a t)))

simplify44.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0349647
11396606
25002606

prune119.0ms

Filtered
71 candidates to 108 candidates (-52.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1026108
Fresh000
Picked011
Done000
Total1027109

Merged error: 0.0b

Counts
109 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
10.0ms
(* (cbrt (- z t)) (cbrt (- z t)))
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))

series108.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (- z t)) (cbrt (- z t)))
25.0ms
(cbrt (- a t))
26.0ms
(cbrt (- a t))
28.0ms
(cbrt (- a t))

simplify129.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (117.0ms)

IterNodesCost
0347793
11000756
24350675
35001652

prune130.0ms

Filtered
78 candidates to 113 candidates (-44.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh055
Picked011
Done011
Total1137120

Merged error: 0.0b

Counts
120 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
2.8b
(* y (* (- z t) (/ 1 (- a t))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
5.0ms
(/ 1 (- a t))
13.0ms
(* (- z t) (/ 1 (- a t)))
12.0ms
(* y (* (- z t) (/ 1 (- a t))))

series31.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- a t))
9.0ms
(* (- z t) (/ 1 (- a t)))
18.0ms
(* y (* (- z t) (/ 1 (- a t))))

simplify46.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0381671
11768562
25001520

prune105.0ms

Filtered
72 candidates to 128 candidates (-77.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh044
Picked011
Done022
Total1287135

Merged error: 0.0b

Counts
135 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
10.6b
(/ (* y (- z t)) (- a t))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
6.0ms
(* y (- z t))
9.0ms
(/ (* y (- z t)) (- a t))

series22.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z t))
15.0ms
(/ (* y (- z t)) (- a t))

simplify35.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0264276
11211239
25001239

prune50.0ms

Filtered
39 candidates to 61 candidates (-56.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New59261
Fresh213
Picked011
Done123
Total62668

Merged error: 0b

Counts
68 → 6

regimes571.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01919
11919

end0.0ms

sample3.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 2.233887%

Guaranteed chance to sample good point: 47.415408%

Results
309.0ms7998×body80valid
30.0ms699×body80invalid
0.0ms1×body640valid
0.0ms1×body160valid

Profiling

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