Details

Time bar (total: 3.3s)

sample43.0ms

Algorithm
intervals
Results
11.0ms257×body80valid
10.0ms273×body80nan

simplify213.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (211.0ms)

IterNodesCost
0418512
1418512

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
19×*-un-lft-identity
14×add-sqr-sqrt
12×log-prod
10×add-cube-cbrt
7×pow1
6×add-exp-log distribute-rgt-in distribute-lft-in diff-log add-cbrt-cube associate--r+
4×associate-*r* associate-*l* sum-log
3×sub-neg distribute-lft-out
2×associate-+l- associate-+l+ flip3-- flip3-+ associate-*l/ flip-- flip-+ distribute-lft-out--
1×+-commutative associate--l- pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 81
Calls
4 calls:
7.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms
(- x (* (+ y 0.5) (log y)))
5.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms
(* (+ y 0.5) (log y))

series56.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
9.0ms
(- x (* (+ y 0.5) (log y)))
11.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
20.0ms
(* (+ y 0.5) (log y))

simplify29.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
054801106

prune130.0ms

Filtered
69 candidates to 93 candidates (-34.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New87693
Fresh000
Picked011
Done000
Total87794

Merged error: 0.0b

Counts
94 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (log (cbrt y)))
0.3b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt *-un-lft-identity
24×add-cube-cbrt associate-+l+
12×associate-+r+
10×associate-*l/
7×pow1
6×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
5×associate-*r*
4×associate-*l* frac-add
3×pow1/3
2×log-pow distribute-lft-out
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 109
Calls
4 calls:
7.0ms
(* (+ y 0.5) (log (cbrt y)))
12.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series208.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (+ y 0.5) (log (cbrt y)))
105.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (+ y 0.5) (log (cbrt y))))
21.0ms
(cbrt y)
22.0ms
(cbrt y)

simplify57.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049611243
149611243

prune158.0ms

Filtered
92 candidates to 121 candidates (-31.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1192121
Fresh235
Picked101
Done011
Total1226128

Merged error: 0b

Counts
128 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (- x (* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3)))) y)
0.2b
(/ 1 (/ -1 y))
0.3b
(* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3)))
0.5b
(cbrt (/ 1 (/ -1 y)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
85×add-sqr-sqrt *-un-lft-identity
83×add-cube-cbrt
44×cbrt-prod
17×add-exp-log
13×associate-/r*
11×add-cbrt-cube
10×pow1
9×div-inv add-log-exp
7×div-exp
6×associate-*l*
3×cbrt-undiv pow1/3 associate-*r* pow-prod-down log-pow associate-/l*
2×rec-exp associate-+l+ flip3-+ 1-exp associate-*r/ sum-log associate-/r/ flip-+
1×+-commutative distribute-rgt-in associate-+l- sub-neg cbrt-div pow-flip frac-2neg distribute-lft-in diff-log prod-exp clear-num *-commutative cbrt-unprod distribute-lft-out inv-pow unswap-sqr
Counts
4 → 170
Calls
4 calls:
5.0ms
(+ (- x (* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3)))) y)
6.0ms
(/ 1 (/ -1 y))
13.0ms
(* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3)))
7.0ms
(cbrt (/ 1 (/ -1 y)))

series156.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ (- x (* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3)))) y)
2.0ms
(/ 1 (/ -1 y))
86.0ms
(* (log (* (cbrt -1) (cbrt (/ 1 (/ -1 y))))) (+ 1.5 (* y 3)))
24.0ms
(cbrt (/ 1 (/ -1 y)))

simplify39.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
051702094

prune313.0ms

Filtered
116 candidates to 182 candidates (-56.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1811182
Fresh134
Picked011
Done011
Total1826188

Merged error: 0b

Counts
188 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* 1/3 (* (+ 1.5 (* y 3)) (log y))))
0.1b
(+ (- x (* 1/3 (* (+ 1.5 (* y 3)) (log y)))) y)
0.3b
(* (+ 1.5 (* y 3)) (log y))
0.4b
(* 1/3 (* (+ 1.5 (* y 3)) (log y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
30×log-prod
27×distribute-rgt-in distribute-lft-in
19×add-sqr-sqrt *-un-lft-identity
17×add-cube-cbrt
12×pow1 associate--r+
11×add-exp-log add-cbrt-cube add-log-exp
6×associate-*l*
5×associate-*r*
4×pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×flip3-+ flip-+
2×sub-neg associate-+l+ diff-log associate-*r/ sum-log *-commutative
1×+-commutative associate-+l- flip3-- log-pow flip-- distribute-lft-out unswap-sqr
Counts
4 → 99
Calls
4 calls:
4.0ms
(- x (* 1/3 (* (+ 1.5 (* y 3)) (log y))))
5.0ms
(+ (- x (* 1/3 (* (+ 1.5 (* y 3)) (log y)))) y)
5.0ms
(* (+ 1.5 (* y 3)) (log y))
7.0ms
(* 1/3 (* (+ 1.5 (* y 3)) (log y)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- x (* 1/3 (* (+ 1.5 (* y 3)) (log y))))
13.0ms
(+ (- x (* 1/3 (* (+ 1.5 (* y 3)) (log y)))) y)
21.0ms
(* (+ 1.5 (* y 3)) (log y))
24.0ms
(* 1/3 (* (+ 1.5 (* y 3)) (log y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049211394
149211394

prune114.0ms

Filtered
77 candidates to 111 candidates (-44.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1110111
Fresh033
Picked011
Done022
Total1116117

Merged error: 0b

Counts
117 → 6

regimes312.0ms

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
01312
11312

end0.0ms

sample1.2s

Algorithm
intervals
Results
360.0ms8036×body80valid
298.0ms7995×body80nan
0.0ms1×body640valid

Profiling

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