Details

Time bar (total: 4.2s)

analyze1.1s

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
0.4%99.4%0.2%10
5.6%94.2%0.2%11
7.1%92.7%0.2%12
8.8%91%0.2%13
15.6%84.2%0.2%14

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
1.0ms13×body80invalid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
0494313
1494313

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (+ t (- 1.0 z)))
0.8b
(* a (/ (- z y) (+ t (- 1.0 z))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
53×add-sqr-sqrt
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×associate-*l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 102
Calls
2 calls:
9.0ms
(/ (- z y) (+ t (- 1.0 z)))
14.0ms
(* a (/ (- z y) (+ t (- 1.0 z))))

series30.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (- z y) (+ t (- 1.0 z)))
19.0ms
(* a (/ (- z y) (+ t (- 1.0 z))))

simplify51.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
052211323

prune130.0ms

Filtered
64 candidates to 108 candidates (-68.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1035108
Fresh011
Picked011
Done000
Total1037110

Merged error: 0b

Counts
110 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ (- z y) (+ t (- 1.0 z)))) (cbrt (/ (- z y) (+ t (- 1.0 z)))))
2.4b
(cbrt (/ (- z y) (+ t (- 1.0 z))))
2.4b
(cbrt (/ (- z y) (+ t (- 1.0 z))))
2.4b
(cbrt (/ (- z y) (+ t (- 1.0 z))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
624×*-un-lft-identity
333×cbrt-prod
285×times-frac
219×add-sqr-sqrt
136×distribute-lft-out--
134×distribute-lft-out
101×add-cube-cbrt
86×swap-sqr
47×difference-of-squares
34×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 304
Calls
4 calls:
39.0ms
(* (cbrt (/ (- z y) (+ t (- 1.0 z)))) (cbrt (/ (- z y) (+ t (- 1.0 z)))))
8.0ms
(cbrt (/ (- z y) (+ t (- 1.0 z))))
8.0ms
(cbrt (/ (- z y) (+ t (- 1.0 z))))
9.0ms
(cbrt (/ (- z y) (+ t (- 1.0 z))))

series168.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (cbrt (/ (- z y) (+ t (- 1.0 z)))) (cbrt (/ (- z y) (+ t (- 1.0 z)))))
41.0ms
(cbrt (/ (- z y) (+ t (- 1.0 z))))
39.0ms
(cbrt (/ (- z y) (+ t (- 1.0 z))))
39.0ms
(cbrt (/ (- z y) (+ t (- 1.0 z))))

simplify103.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049576752
149576752

prune479.0ms

Filtered
152 candidates to 316 candidates (-107.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3160316
Fresh055
Picked011
Done011
Total3167323

Merged error: 0b

Counts
323 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ t (- 1.0 z)))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
19×*-un-lft-identity
14×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube distribute-lft-out-- add-log-exp
3×flip3-- flip-- difference-of-squares
2×distribute-lft-out
1×flip3-+ flip-+
Counts
4 → 60
Calls
4 calls:
5.0ms
(cbrt (+ t (- 1.0 z)))
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- z y))
3.0ms
(cbrt (- z y))

series94.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(cbrt (+ t (- 1.0 z)))
27.0ms
(cbrt (- z y))
25.0ms
(cbrt (- z y))
26.0ms
(cbrt (- z y))

simplify42.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04903635
14903635

prune150.0ms

Filtered
59 candidates to 72 candidates (-22.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh044
Picked011
Done022
Total72779

Merged error: 0b

Counts
79 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
12.1b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
236×*-un-lft-identity
200×times-frac
126×add-sqr-sqrt
86×add-cube-cbrt
44×distribute-lft-out
42×distribute-lft-out--
22×associate-/r*
20×difference-of-squares
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 frac-2neg div-sub clear-num add-log-exp
1×associate-+l- flip3-- flip3-+ associate-/r/ flip-- flip-+
Counts
2 → 175
Calls
2 calls:
8.0ms
(/ (+ (- t z) 1.0) a)
12.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series37.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ (+ (- t z) 1.0) a)
30.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify57.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
058773171

prune196.0ms

Filtered
103 candidates to 181 candidates (-75.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1801181
Fresh123
Picked011
Done123
Total1826188

Merged error: 0b

Counts
188 → 6

regimes566.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03313
13313

end0.0ms

sample641.0ms

Algorithm
intervals
Results
336.0ms7997×body80valid
23.0ms482×body80invalid
0.0ms2×body320valid
0.0ms1×body640valid

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