Details

Time bar (total: 4.2s)

analyze915.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
4.7%95.1%0.2%10
12.7%87.1%0.2%11
15.9%83.9%0.2%12
24.9%74.9%0.2%13
26.2%73.5%0.2%14

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms21×body80invalid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
08511
18511

prune4.0ms

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 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.4b
(* y (/ (- z t) (- a t)))

rewrite26.0ms

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)))

series30.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (- z t) (- a t))
20.0ms
(* y (/ (- z t) (- a t)))

simplify59.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
052851165

prune137.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New999108
Fresh000
Picked101
Done000
Total1009109

Merged error: 0b

Counts
109 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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:
19.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
4.0ms
(cbrt (- z t))
4.0ms
(cbrt (- z t))
4.0ms
(cbrt (- z t))

series111.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
28.0ms
(cbrt (- z t))
26.0ms
(cbrt (- z t))
27.0ms
(cbrt (- z t))

simplify71.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
048831027
148831027

prune134.0ms

Filtered
75 candidates to 113 candidates (-50.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh088
Picked011
Done000
Total1139122

Merged error: 0b

Counts
122 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.2b
(/ 1 (/ (- a t) (- z t)))
2.4b
(* y (/ 1 (/ (- a t) (- z t))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 327
Calls
3 calls:
8.0ms
(/ (- a t) (- z t))
12.0ms
(/ 1 (/ (- a t) (- z t)))
32.0ms
(* y (/ 1 (/ (- a t) (- z t))))

series53.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- a t) (- z t))
17.0ms
(/ 1 (/ (- a t) (- z t)))
27.0ms
(* y (/ 1 (/ (- a t) (- z t))))

simplify81.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
051144378

prune273.0ms

Filtered
194 candidates to 336 candidates (-73.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3342336
Fresh527
Picked011
Done101
Total3405345

Merged error: 0b

Counts
345 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a t) (- z t))
2.5b
(/ y (/ (- a t) (- z t)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
10.0ms
(/ (- a t) (- z t))
11.0ms
(/ y (/ (- a t) (- z t)))

series35.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- a t) (- z t))
26.0ms
(/ y (/ (- a t) (- z t)))

simplify70.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
054523160

prune137.0ms

Filtered
134 candidates to 200 candidates (-49.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2000200
Fresh033
Picked011
Done011
Total2005205

Merged error: 0b

Counts
205 → 5

regimes345.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
11111

end0.0ms

analyze902.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
4.7%95.1%0.2%10
12.7%87.1%0.2%11
15.9%83.9%0.2%12
24.9%74.9%0.2%13
26.2%73.5%0.2%14

sample595.0ms

Algorithm
intervals
Results
292.0ms8000×body80valid
37.0ms741×body80invalid

Profiling

Loading profile data...