Details

Time bar (total: 8.7s)

sample123.0ms

Algorithm
intervals
Results
49.0ms814×body80nan
12.0ms178×body80valid
9.0ms25×body640valid
9.0ms26×body320valid
7.0ms8×body1280valid
3.0ms20×body160valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0279
1578
21368
33128
47098
516298
635648
750018

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 6.8b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b
(* (- x 1.0) (log y))
6.6b
(log (- 1.0 y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
32×*-un-lft-identity
21×log-prod
20×add-cube-cbrt
11×pow1
10×associate-*l*
9×add-exp-log prod-diff add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×distribute-lft-out-- difference-of-squares
4×expm1-log1p-u flip3-- associate-*l/ flip-- log1p-expm1-u
3×fma-neg log-pow
2×log-div diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 114
Calls
4 calls:
9.0ms
(* (- z 1.0) (log (- 1.0 y)))
11.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
7.0ms
(* (- x 1.0) (log y))
4.0ms
(log (- 1.0 y))

series439.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (- z 1.0) (log (- 1.0 y)))
292.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
60.0ms
(* (- x 1.0) (log y))
44.0ms
(log (- 1.0 y))

simplify64.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05871089
12183902
25001886

prune324.0ms

Filtered
126 candidates to 89 candidates (70.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1215126
Fresh000
Picked101
Done000
Total1225127

Merged error: 0.0b

Counts
127 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0b
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.1b
(* (- x 1.0) (log y))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
122×add-sqr-sqrt
85×*-un-lft-identity
80×times-frac
78×add-cube-cbrt associate-*r*
56×unpow-prod-down
48×prod-diff
40×distribute-rgt-in distribute-lft-in
34×associate-+r+
31×add-exp-log
27×flip3-- flip--
24×pow1 log-prod associate-*l/ unpow2 sqr-pow
19×unswap-sqr
16×frac-add
14×log-pow
13×associate-*l* add-cbrt-cube
12×frac-times prod-exp associate--l+
9×div-exp
7×associate-*r/
6×pow-to-exp associate-+l+ pow-exp add-log-exp
4×expm1-log1p-u sub-neg cbrt-unprod log1p-expm1-u distribute-lft-out--
3×pow-prod-down *-commutative difference-of-squares
1×cbrt-undiv +-commutative fma-def flip3-+ sum-log flip-+ div-inv
Counts
4 → 280
Calls
4 calls:
17.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
20.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
15.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
7.0ms
(* (- x 1.0) (log y))

series335.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
55.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
150.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
61.0ms
(* (- x 1.0) (log y))

simplify78.0ms

Algorithm
egg-herbie
Counts
292 → 292
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
015234441
150023593

prune946.0ms

Filtered
292 candidates to 186 candidates (63.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2911292
Fresh044
Picked011
Done000
Total2916297

Merged error: 0b

Counts
297 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
0.7b
(cbrt y)
0.7b
(cbrt y)
6.6b
(log (- 1.0 y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
41×log-prod
30×distribute-rgt-in distribute-lft-in
24×cbrt-prod associate-+l+
21×add-sqr-sqrt *-un-lft-identity
19×add-cube-cbrt
12×associate-+r+
8×associate-*l/
6×add-log-exp
5×pow1 add-exp-log flip3-- flip--
4×expm1-log1p-u frac-add add-cbrt-cube log1p-expm1-u
2×log-div pow1/3
1×+-commutative fma-def flip3-+ rem-log-exp sum-log log-pow flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 99
Calls
4 calls:
14.0ms
(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
4.0ms
(log (- 1.0 y))

series566.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
177.0ms
(cbrt y)
174.0ms
(cbrt y)
48.0ms
(log (- 1.0 y))

simplify69.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0624855
12426720
25003688

prune472.0ms

Filtered
111 candidates to 102 candidates (91.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1101111
Fresh134
Picked011
Done011
Total1116117

Merged error: 0b

Counts
117 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (pow y 1/3))))
0.7b
(cbrt y)
5.0b
(pow y 1/3)
6.6b
(log (- 1.0 y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
43×log-prod
31×distribute-rgt-in distribute-lft-in
24×associate-+l+
22×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
15×cbrt-prod
14×associate-+r+
9×unpow-prod-down
8×associate-*l/
6×pow1 add-exp-log add-log-exp
5×flip3-- flip--
4×expm1-log1p-u frac-add add-cbrt-cube log1p-expm1-u
3×pow-unpow sqr-pow
2×log-div
1×+-commutative pow-to-exp pow-pow fma-def flip3-+ unpow1/3 pow1/3 rem-log-exp pow-exp sum-log log-pow flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 108
Calls
4 calls:
14.0ms
(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (pow y 1/3))))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)
4.0ms
(log (- 1.0 y))

series623.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (pow y 1/3))))
177.0ms
(cbrt y)
173.0ms
(pow y 1/3)
48.0ms
(log (- 1.0 y))

simplify81.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0738892
12850766
25001733

prune502.0ms

Filtered
120 candidates to 103 candidates (85.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1200120
Fresh033
Picked011
Done022
Total1206126

Merged error: 0b

Counts
126 → 6

regimes193.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02815
12815

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.5s24202×body80nan
409.0ms5840×body80valid
305.0ms833×body640valid
181.0ms265×body1280valid
149.0ms665×body320valid
64.0ms425×body160valid

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