Details

Time bar (total: 5.6s)

sample118.0ms

Algorithm
intervals
Results
33.0ms558×body80nan
16.0ms183×body80valid
9.0ms23×body640valid
9.0ms13×body1280valid
5.0ms23×body320valid
2.0ms15×body160valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1307
2397
3457
4607
5887
61257
71767
82087
92257
102937
112937

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.9b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b
(* z (log (- 1.0 y)))
0.3b
(* x (log y))
5.2b
(log (- 1.0 y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×log-prod *-un-lft-identity
13×add-cube-cbrt
11×pow1
9×add-exp-log add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×associate-*l*
4×distribute-lft-out-- difference-of-squares
3×log-pow
2×log-div flip3-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 86
Calls
4 calls:
6.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms
(* z (log (- 1.0 y)))
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series37.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms
(* z (log (- 1.0 y)))
7.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

simplify44.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0458643
11650563
25002529

prune155.0ms

Filtered
66 candidates to 98 candidates (-48.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New92698
Fresh000
Picked101
Done000
Total93699

Merged error: 0.1b

Counts
99 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
0.0b
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.3b
(* x (log y))
7.8b
(* z (pow y 2))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
18×log-prod
15×add-cube-cbrt *-un-lft-identity add-log-exp
12×associate-*r*
11×add-exp-log
9×distribute-rgt-in distribute-lft-in
8×associate-+r+ add-cbrt-cube
7×pow1
6×associate-+l+ associate-*l* associate--l+
5×sum-log unswap-sqr
4×unpow-prod-down prod-exp
2×+-commutative flip3-+ diff-log *-commutative cbrt-unprod flip-+ unpow2 sqr-pow
1×pow-to-exp associate-+r- sub-neg pow-prod-down pow-exp log-pow
Counts
4 → 91
Calls
4 calls:
10.0ms
(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
5.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
6.0ms
(* x (log y))
6.0ms
(* z (pow y 2))

series91.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
29.0ms
(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
9.0ms
(* x (log y))
7.0ms
(* z (pow y 2))

simplify60.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0455843
11850758
25001734

prune200.0ms

Filtered
70 candidates to 103 candidates (-47.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New994103
Fresh415
Picked011
Done000
Total1036109

Merged error: 0.1b

Counts
109 → 6

localize29.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt y)
7.8b
(* z (pow y 2))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×add-exp-log cbrt-prod
8×associate-*r*
6×add-cbrt-cube
4×pow1 unpow-prod-down add-log-exp unswap-sqr
3×pow1/3 associate-*l* prod-exp
2×unpow2 sqr-pow
1×pow-to-exp pow-exp *-commutative cbrt-unprod
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
5.0ms
(* z (pow y 2))

series213.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(cbrt y)
22.0ms
(cbrt y)
22.0ms
(cbrt y)
7.0ms
(* z (pow y 2))

simplify89.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0158255
1512228
22387193
35002193

prune156.0ms

Filtered
51 candidates to 72 candidates (-41.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New71172
Fresh044
Picked101
Done011
Total72678

Merged error: 0.1b

Counts
78 → 6

localize33.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt y)
0.7b
(cbrt y)
5.1b
(pow y 1/3)
7.8b
(* z (pow y 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log
8×associate-*r*
7×unpow-prod-down
6×cbrt-prod add-cbrt-cube
5×pow1
4×add-log-exp unswap-sqr
3×pow-unpow associate-*l* prod-exp sqr-pow
2×pow-to-exp pow1/3 pow-exp unpow2
1×pow-pow unpow1/3 *-commutative cbrt-unprod
Counts
4 → 67
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)
6.0ms
(* z (pow y 2))

series74.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
24.0ms
(cbrt y)
21.0ms
(pow y 1/3)
7.0ms
(* z (pow y 2))

simplify126.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0210256
1756217
23643182
35001182

prune156.0ms

Filtered
52 candidates to 79 candidates (-51.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New78179
Fresh044
Picked011
Done011
Total78785

Merged error: 0.1b

Counts
85 → 7

regimes499.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03015
13015

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.1s19722×body80nan
351.0ms5498×body80valid
305.0ms884×body640valid
288.0ms435×body1280valid
164.0ms765×body320valid
59.0ms442×body160valid

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