Details

Time bar (total: 5.3s)

sample54.0ms

Algorithm
intervals
Results
14.0ms298×body80valid
13.0ms323×body80nan

simplify51.0ms

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

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod
11×add-log-exp
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×distribute-rgt-in distribute-lft-in associate--r+
5×pow1
4×add-exp-log associate-*r* add-cbrt-cube
3×diff-log associate-*l* sum-log
1×sub-neg flip3-- pow-prod-down prod-exp associate--l+ log-pow *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
9.0ms
(- (+ (+ x y) z) (* z (log t)))
5.0ms
(* z (log t))

series78.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (+ (+ x y) z) (* z (log t)))
38.0ms
(* z (log t))

simplify37.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0243292
11113257
25002252

prune145.0ms

Filtered
52 candidates to 34 candidates (65.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New44852
Fresh000
Picked101
Done000
Total45853

Merged error: 0b

Counts
53 → 8

localize23.0ms

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

series692.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(* (cbrt t) (cbrt t))
167.0ms
(cbrt t)
168.0ms
(cbrt t)
168.0ms
(cbrt t)

simplify92.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune294.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh077
Picked011
Done000
Total85893

Merged error: 0b

Counts
93 → 8

localize20.0ms

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)))

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:
12.0ms
(- (- (+ (+ 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)
5.0ms
(* z (log (sqrt t)))

series304.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
49.0ms
(- (+ (+ x y) z) (* (log (sqrt t)) z))
113.0ms
(* (log (sqrt t)) z)
86.0ms
(* z (log (sqrt t)))

simplify53.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0425907
11943795
25003766

prune308.0ms

Filtered
112 candidates to 73 candidates (65.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1111112
Fresh156
Picked011
Done011
Total1128120

Merged error: 0b

Counts
120 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt t))
0.3b
(* z (+ (log (sqrt t)) (log (sqrt (sqrt t)))))
0.3b
(* z (log (sqrt (sqrt t))))
0.3b
(+ (log (sqrt t)) (log (sqrt (sqrt t))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
53×log-pow
43×pow1
40×sqrt-prod
34×sqrt-pow1
33×log-prod *-un-lft-identity
27×add-sqr-sqrt associate-*r*
22×pow1/2
21×add-cube-cbrt
16×distribute-rgt-out
12×distribute-lft-out
10×distribute-rgt-in distribute-lft-in
9×associate-+r+
8×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*l*
4×distribute-rgt1-in add-log-exp
2×rem-sqrt-square flip3-+ associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
1×+-commutative sum-log
Counts
4 → 140
Calls
4 calls:
2.0ms
(sqrt (sqrt t))
12.0ms
(* z (+ (log (sqrt t)) (log (sqrt (sqrt t)))))
7.0ms
(* z (log (sqrt (sqrt t))))
9.0ms
(+ (log (sqrt t)) (log (sqrt (sqrt t))))

series671.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(sqrt (sqrt t))
224.0ms
(* z (+ (log (sqrt t)) (log (sqrt (sqrt t)))))
129.0ms
(* z (log (sqrt (sqrt t))))
183.0ms
(+ (log (sqrt t)) (log (sqrt (sqrt t))))

simplify65.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06191026
12332922
25001890

prune423.0ms

Filtered
152 candidates to 88 candidates (57.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1511152
Fresh145
Picked101
Done112
Total1546160

Merged error: 0b

Counts
160 → 6

regimes415.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02816
12816

end0.0ms

sample1.5s

Algorithm
intervals
Results
443.0ms9225×body80valid
373.0ms9335×body80nan
1.0ms3×body1280valid
1.0ms4×body640valid
0.0ms1×body320valid