Details

Time bar (total: 4.6s)

analyze942.0ms

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

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms25×body80invalid

simplify194.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (192.0ms)

IterNodesCost
0559011

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
3.5b
(* 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
add-exp-log add-cbrt-cube
associate-/r* associate-/l*
pow1 associate-/r/
flip3-- associate-*l* flip--
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
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)))

series31.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- z t) (- a t))
21.0ms
(* y (/ (- z t) (- a t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050241163

prune131.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1008108
Fresh000
Picked011
Done000
Total1009109

Merged error: 0.0b

Counts
109 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
add-cube-cbrt cbrt-div
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))
4.0ms
(cbrt (- z t))

series107.0ms

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

simplify45.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05111580

prune106.0ms

Filtered
56 candidates to 72 candidates (-28.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh077
Picked011
Done011
Total72981

Merged error: 0.0b

Counts
81 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
5.0b
(cbrt (/ (- z t) (- a t)))
5.0b
(cbrt (/ (- z t) (- a t)))
5.0b
(cbrt (/ (- z t) (- a t)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
333×*-un-lft-identity
277×cbrt-prod
273×add-sqr-sqrt
229×times-frac
106×distribute-lft-out--
93×add-cube-cbrt
78×difference-of-squares
58×swap-sqr
34×associate-*r* associate-*l*
14×associate-/r/
11×pow1
pow1/3 unswap-sqr
cbrt-div flip3-- flip-- div-inv
add-exp-log
add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
37.0ms
(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
7.0ms
(cbrt (/ (- z t) (- a t)))
7.0ms
(cbrt (/ (- z t) (- a t)))
7.0ms
(cbrt (/ (- z t) (- a t)))

series261.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
59.0ms
(cbrt (/ (- z t) (- a t)))
58.0ms
(cbrt (/ (- z t) (- a t)))
64.0ms
(cbrt (/ (- z t) (- a t)))

simplify115.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
054285460

prune249.0ms

Filtered
176 candidates to 288 candidates (-63.6%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New2871288
Fresh066
Picked011
Done022
Total28710297

Merged error: 0.0b

Counts
297 → 10

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))))
1.6b
(cbrt (/ (- z t) (cbrt (- a t))))
1.6b
(cbrt (/ (- z t) (cbrt (- a t))))
5.0b
(cbrt (/ (- z t) (- a t)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
188×cbrt-prod
127×add-sqr-sqrt *-un-lft-identity
108×times-frac
55×add-cube-cbrt
36×distribute-lft-out-- difference-of-squares
20×cbrt-div
14×associate-/r/
flip3-- flip--
pow1 add-exp-log frac-times pow1/3 add-cbrt-cube div-inv add-log-exp
associate-*r/ associate-*l/
Counts
4 → 174
Calls
4 calls:
11.0ms
(cbrt (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))))
10.0ms
(cbrt (/ (- z t) (cbrt (- a t))))
9.0ms
(cbrt (/ (- z t) (cbrt (- a t))))
7.0ms
(cbrt (/ (- z t) (- a t)))

series263.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(cbrt (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))))
85.0ms
(cbrt (/ (- z t) (cbrt (- a t))))
85.0ms
(cbrt (/ (- z t) (cbrt (- a t))))
59.0ms
(cbrt (/ (- z t) (- a t)))

simplify97.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049773356
149773356

prune257.0ms

Filtered
124 candidates to 186 candidates (-50.0%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1851186
Fresh066
Picked011
Done033
Total18511196

Merged error: 0b

Counts
196 → 11

regimes899.0ms

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 (1.0ms)

IterNodesCost
03233
13233

end0.0ms

sample617.0ms

Algorithm
intervals
Results
313.0ms7994×body80valid
28.0ms755×body80invalid
1.0msbody1280valid
0.0msbody640valid
0.0msbody160valid

Profiling

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