Details

Time bar (total: 6.3s)

sample84.0ms

Algorithm
intervals
Results
24.0ms320×body80nan
24.0ms309×body80valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0308
1858
22738
38008
421238
550018

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
27×add-log-exp
18×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt log-prod
10×sum-log
9×pow1
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×distribute-rgt-in flip3-- distribute-lft-in diff-log associate-*l/ flip-- associate--r+
4×frac-add
3×associate-+l+
2×sub-neg pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
1×+-commutative associate-+l- flip3-+ log-pow flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 90
Calls
4 calls:
11.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
6.0ms
(* (- a 0.5) b)
8.0ms
(- (+ (+ x y) z) (* z (log t)))
4.0ms
(* z (log t))

series228.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
31.0ms
(* (- a 0.5) b)
34.0ms
(- (+ (+ x y) z) (* z (log t)))
39.0ms
(* z (log t))

simplify70.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0540767
12622717
25002712

prune268.0ms

Filtered
102 candidates to 72 candidates (70.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New966102
Fresh000
Picked101
Done000
Total976103

Merged error: 0.0b

Counts
103 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt t) (cbrt t))
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite12.0ms

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:
6.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series742.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (cbrt t) (cbrt t))
180.0ms
(cbrt t)
177.0ms
(cbrt t)
177.0ms
(cbrt t)

simplify90.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune296.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done000
Total85691

Merged error: 0.0b

Counts
91 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (+ (+ x y) z) (* (log (sqrt t)) z))
0.1b
(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
0.2b
(* (log (sqrt t)) z)
0.2b
(* z (log (sqrt t)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
27×add-log-exp
24×log-prod
20×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
12×pow1 distribute-rgt-in distribute-lft-in sqrt-prod associate--r+
10×diff-log
9×associate-*r* associate-*l*
8×add-exp-log add-cbrt-cube
6×sum-log log-pow
5×associate--l+
3×sub-neg
2×flip3-- sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×associate--l-
Counts
4 → 100
Calls
4 calls:
8.0ms
(- (+ (+ x y) z) (* (log (sqrt t)) z))
12.0ms
(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
4.0ms
(* (log (sqrt t)) z)
5.0ms
(* z (log (sqrt t)))

series422.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (+ (+ x y) z) (* (log (sqrt t)) z))
62.0ms
(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
186.0ms
(* (log (sqrt t)) z)
128.0ms
(* z (log (sqrt t)))

simplify59.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0435919
12083813
25001784

prune326.0ms

Filtered
112 candidates to 75 candidates (67.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1102112
Fresh044
Picked101
Done011
Total1117118

Merged error: 0b

Counts
118 → 7

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (sqrt t)) z)
0.3b
(+ (* z (* 2 (log (cbrt (sqrt t))))) (* z (log (cbrt (sqrt t)))))
0.5b
(cbrt (sqrt t))
0.5b
(cbrt (sqrt t))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
54×log-prod
48×cbrt-prod
45×distribute-rgt-in distribute-lft-in
36×associate-+l+
30×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity
24×sqrt-prod
18×associate-+r+
8×pow1
6×add-exp-log associate-*l* add-cbrt-cube add-log-exp
3×associate-*r* log-pow
2×pow1/3
1×+-commutative sqrt-pow1 flip3-+ pow1/2 pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 115
Calls
4 calls:
4.0ms
(* (log (sqrt t)) z)
13.0ms
(+ (* z (* 2 (log (cbrt (sqrt t))))) (* z (log (cbrt (sqrt t)))))
2.0ms
(cbrt (sqrt t))
2.0ms
(cbrt (sqrt t))

series697.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* (log (sqrt t)) z)
166.0ms
(+ (* z (* 2 (log (cbrt (sqrt t))))) (* z (log (cbrt (sqrt t)))))
173.0ms
(cbrt (sqrt t))
173.0ms
(cbrt (sqrt t))

simplify58.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05251051
11741922
25002880

prune589.0ms

Filtered
127 candidates to 106 candidates (83.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh055
Picked011
Done011
Total1277134

Merged error: 0b

Counts
134 → 7

regimes560.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02615
12615

end0.0ms

sample1.6s

Algorithm
intervals
Results
512.0ms9156×body80valid
440.0ms9222×body80nan
1.0ms3×body320valid
0.0ms1×body640valid
0.0ms1×body160valid

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