Details

Time bar (total: 3.9s)

analyze485.0ms

Algorithm
search

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
1.0ms35×body80invalid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0246
1466
2736
3996
41196
51456
61786
72536
83336
94676
104676

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg associate-+l+ diff-log sum-log add-cbrt-cube
1×+-commutative associate-+l- flip3-- flip3-+ associate-*l/ frac-sub flip-- flip-+ distribute-lft-out
Counts
2 → 29
Calls
2 calls:
5.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
8.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

series21.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
11.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

simplify60.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0188275
1585260
22356255
35002255

prune59.0ms

Filtered
26 candidates to 35 candidates (-34.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New32335
Fresh000
Picked011
Done000
Total32436

Merged error: 0b

Counts
36 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)) (cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)))
0.6b
(cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
0.6b
(cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
0.6b
(cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
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 → 95
Calls
4 calls:
19.0ms
(* (cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)) (cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)))
9.0ms
(cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
8.0ms
(cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
7.0ms
(cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))

series314.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)) (cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)))
71.0ms
(cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
70.0ms
(cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
73.0ms
(cbrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))

simplify126.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
03121761
19011654
241301506
350021488

prune276.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh022
Picked011
Done011
Total1074111

Merged error: 0b

Counts
111 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
0.0b
(sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
0.0b
(sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
0.2b
(* (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)) (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity sqrt-prod
28×add-sqr-sqrt
21×pow1
16×sqrt-div
14×add-cube-cbrt
11×swap-sqr
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+ distribute-lft-out add-log-exp
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-+l+ associate-*r/ associate-*l/ sum-log
1×+-commutative pow2 associate-+l- sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 110
Calls
4 calls:
8.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
8.0ms
(sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
9.0ms
(sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
20.0ms
(* (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)) (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)))

series114.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
38.0ms
(sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
41.0ms
(sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))
23.0ms
(* (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)) (sqrt (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)))

simplify55.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03181368
112561262
250011224

prune162.0ms

Filtered
67 candidates to 122 candidates (-82.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh011
Picked011
Done022
Total1224126

Merged error: 0b

Counts
126 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))) t)
0.0b
(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.0b
(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.3b
(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-div
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
13×associate-*l/
10×flip3-- sqrt-pow1 pow1/2 frac-sub flip--
9×frac-times
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×unswap-sqr
3×associate-*r/ pow-prod-down pow-sqr
2×rem-sqrt-square
1×+-commutative pow2 flip3-+ pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod flip-+
Counts
4 → 107
Calls
4 calls:
16.0ms
(+ (* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))) t)
6.0ms
(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
6.0ms
(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
18.0ms
(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

series78.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+ (* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))) t)
24.0ms
(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
21.0ms
(sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
14.0ms
(* (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (sqrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))

simplify62.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
03801430
115021302
250021252

prune180.0ms

Filtered
76 candidates to 119 candidates (-56.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1190119
Fresh000
Picked011
Done033
Total1194123

Merged error: 0b

Counts
123 → 4

regimes551.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1166

end0.0ms

analyze486.0ms

Algorithm
search

sample592.0ms

Algorithm
intervals
Results
327.0ms7998×body80valid
44.0ms1158×body80invalid
0.0ms1×body2560valid
0.0ms1×body320valid

Profiling

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