Details

Time bar (total: 5.3s)

analyze894.0ms

Algorithm
search

sample35.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
2.0ms39×body80invalid
2.0ms31×body80nan

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0308
1858
22738
38008
421238
550018

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a 0.5) b)
0.0b
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b
(- (+ (+ x y) z) (* z (log t)))
0.3b
(* z (log t))

rewrite35.0ms

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:
6.0ms
(* (- a 0.5) b)
11.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
8.0ms
(- (+ (+ x y) z) (* z (log t)))
7.0ms
(* z (log t))

series63.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (- a 0.5) b)
39.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
12.0ms
(- (+ (+ x y) z) (* z (log t)))
7.0ms
(* z (log t))

simplify73.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0557780
12647719
25002707

prune161.0ms

Filtered
72 candidates to 102 candidates (-41.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New939102
Fresh000
Picked101
Done000
Total949103

Merged error: 0b

Counts
103 → 9

localize20.0ms

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)

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:
5.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series92.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt t) (cbrt t))
22.0ms
(cbrt t)
23.0ms
(cbrt t)
22.0ms
(cbrt t)

simplify74.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune126.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh088
Picked011
Done000
Total85994

Merged error: 0b

Counts
94 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
0.1b
(- (+ (+ x y) z) (* (log (sqrt t)) z))
0.3b
(* (log (sqrt t)) z)
0.3b
(* z (log (sqrt t)))

rewrite32.0ms

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:
11.0ms
(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
8.0ms
(- (+ (+ x y) z) (* (log (sqrt t)) z))
4.0ms
(* (log (sqrt t)) z)
6.0ms
(* z (log (sqrt t)))

series52.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
13.0ms
(- (+ (+ x y) z) (* (log (sqrt t)) z))
12.0ms
(* (log (sqrt t)) z)
9.0ms
(* z (log (sqrt t)))

simplify70.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0435919
12081812
25002783

prune131.0ms

Filtered
75 candidates to 112 candidates (-49.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh077
Picked011
Done011
Total1129121

Merged error: 0b

Counts
121 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (* 2 (log (cbrt t))))
0.3b
(* z (log (cbrt t)))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
24×cbrt-prod
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
12×pow1
11×add-exp-log add-cbrt-cube
6×associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×log-pow *-commutative
1×unswap-sqr
Counts
4 → 96
Calls
4 calls:
6.0ms
(* z (* 2 (log (cbrt t))))
5.0ms
(* z (log (cbrt t)))
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series86.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* z (* 2 (log (cbrt t))))
19.0ms
(* z (log (cbrt t)))
22.0ms
(cbrt t)
23.0ms
(cbrt t)

simplify103.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0313680
11135607
24231567
35001543

prune91.0ms

Filtered
62 candidates to 108 candidates (-74.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh156
Picked101
Done022
Total1098117

Merged error: 0b

Counts
117 → 8

regimes1.2s

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

analyze885.0ms

Algorithm
search

sample928.0ms

Algorithm
intervals
Results
468.0ms7995×body80valid
68.0ms1139×body80invalid
56.0ms1066×body80nan
1.0ms3×body640valid
0.0ms1×body1280valid
0.0ms1×body320valid

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