Details

Time bar (total: 9.7s)

sample230.0ms

Algorithm
intervals
Results
106.0ms1800×body80nan
18.0ms256×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
083316
183316

prune15.0ms

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: 0.2b

Counts
2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (- a 0.5) (log t)) t)
0.1b
(* (- a 0.5) (log t))
0.1b
(+ (log (+ x y)) (+ (log z) (- (* (- a 0.5) (log t)) t)))
0.2b
(+ (log z) (- (* (- a 0.5) (log t)) t))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
25×log-prod
18×add-sqr-sqrt
14×add-cube-cbrt
13×pow1 distribute-lft-out add-log-exp
12×associate--l+
9×distribute-rgt-in associate-+r+ distribute-lft-in
7×associate-+l+ sum-log log-pow
6×add-exp-log add-cbrt-cube
5×associate-*l*
4×associate-*r*
3×associate-+r- flip3-+ diff-log flip-+
2×+-commutative associate-+l- sub-neg log-div flip3-- associate-*l/ flip--
1×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 100
Calls
4 calls:
6.0ms
(- (* (- a 0.5) (log t)) t)
7.0ms
(* (- a 0.5) (log t))
12.0ms
(+ (log (+ x y)) (+ (log z) (- (* (- a 0.5) (log t)) t)))
8.0ms
(+ (log z) (- (* (- a 0.5) (log t)) t))

series91.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* (- a 0.5) (log t)) t)
9.0ms
(* (- a 0.5) (log t))
52.0ms
(+ (log (+ x y)) (+ (log z) (- (* (- a 0.5) (log t)) t)))
20.0ms
(+ (log z) (- (* (- a 0.5) (log t)) t))

simplify28.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
053691516

prune185.0ms

Filtered
84 candidates to 112 candidates (-33.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1039112
Fresh101
Picked101
Done000
Total1059114

Merged error: 0.0b

Counts
114 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(* (cbrt z) (cbrt z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
6.0ms
(* (cbrt z) (cbrt z))

series91.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
23.0ms
(cbrt z)
21.0ms
(cbrt z)
25.0ms
(* (cbrt z) (cbrt z))

simplify74.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
05837334

prune127.0ms

Filtered
52 candidates to 85 candidates (-63.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh088
Picked011
Done000
Total85994

Merged error: 0.0b

Counts
94 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (log z) (* (- a 0.5) (* 2 (log (cbrt t)))))
0.2b
(+ (+ (log z) (* (- a 0.5) (* 2 (log (cbrt t))))) (- (* (- a 0.5) (log (cbrt t))) t))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
39×log-prod
38×associate-+r+
30×distribute-rgt-in distribute-lft-in
24×cbrt-prod
21×*-un-lft-identity
19×add-sqr-sqrt add-cube-cbrt
15×add-log-exp
12×associate--l+
7×sum-log
4×pow1 add-exp-log associate-+l+ flip3-+ frac-add add-cbrt-cube flip-+
2×+-commutative flip3-- pow1/3 diff-log flip--
1×associate-+r- sub-neg distribute-lft-out
Counts
4 → 95
Calls
4 calls:
6.0ms
(+ (log z) (* (- a 0.5) (* 2 (log (cbrt t)))))
14.0ms
(+ (+ (log z) (* (- a 0.5) (* 2 (log (cbrt t))))) (- (* (- a 0.5) (log (cbrt t))) t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series149.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ (log z) (* (- a 0.5) (* 2 (log (cbrt t)))))
48.0ms
(+ (+ (log z) (* (- a 0.5) (* 2 (log (cbrt t))))) (- (* (- a 0.5) (log (cbrt t))) t))
21.0ms
(cbrt t)
21.0ms
(cbrt t)

simplify56.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050451722

prune189.0ms

Filtered
88 candidates to 107 candidates (-21.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh257
Picked101
Done011
Total1088116

Merged error: 0b

Counts
116 → 8

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (log z) (* (- a 0.5) (* 2 (log (cbrt t)))))
0.2b
(+ (+ (log z) (* (- a 0.5) (* 2 (log (cbrt t))))) (- (* (- a 0.5) (log (pow t 1/3))) t))
0.6b
(cbrt t)
5.1b
(pow t 1/3)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
41×log-prod
40×associate-+r+
31×distribute-rgt-in distribute-lft-in
22×*-un-lft-identity
20×add-sqr-sqrt add-cube-cbrt
15×cbrt-prod add-log-exp
14×associate--l+
9×unpow-prod-down
7×sum-log
5×pow1 add-exp-log
4×associate-+l+ flip3-+ frac-add add-cbrt-cube flip-+
3×pow-unpow sqr-pow
2×+-commutative flip3-- diff-log flip--
1×pow-to-exp associate-+r- sub-neg pow-pow unpow1/3 pow1/3 pow-exp distribute-lft-out
Counts
4 → 104
Calls
4 calls:
6.0ms
(+ (log z) (* (- a 0.5) (* 2 (log (cbrt t)))))
13.0ms
(+ (+ (log z) (* (- a 0.5) (* 2 (log (cbrt t))))) (- (* (- a 0.5) (log (pow t 1/3))) t))
1.0ms
(cbrt t)
2.0ms
(pow t 1/3)

series158.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ (log z) (* (- a 0.5) (* 2 (log (cbrt t)))))
60.0ms
(+ (+ (log z) (* (- a 0.5) (* 2 (log (cbrt t))))) (- (* (- a 0.5) (log (pow t 1/3))) t))
21.0ms
(cbrt t)
19.0ms
(pow t 1/3)

simplify35.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
056331728

prune177.0ms

Filtered
87 candidates to 116 candidates (-33.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh066
Picked011
Done011
Total1168124

Merged error: 0b

Counts
124 → 8

regimes938.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02424
12424

end0.0ms

sample7.0s

Algorithm
intervals
Results
3.3s55869×body80nan
560.0ms8034×body80valid

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