Details

Time bar (total: 8.3s)

sample105.0ms

Algorithm
intervals
Results
36.0ms829×body80nan
11.0ms31×body640valid
9.0ms15×body1280valid
8.0ms169×body80valid
4.0ms24×body320valid
2.0ms18×body160valid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0227
1386
2536
3616
4786
51106
61756
72846
83636
93926
104766
114766

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 9.4b

Counts
2 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.2b
(fma (log y) x (- (* z (log (- 1.0 y))) t))
5.0b
(log (- 1.0 y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×log-prod
14×*-un-lft-identity
8×add-cube-cbrt
7×pow1
6×add-exp-log
5×distribute-rgt-in distribute-lft-in add-cbrt-cube
4×associate-*r*
3×expm1-log1p-u associate-*l* log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
2×log-div log-pow
1×flip3-- rem-log-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
Counts
3 → 59
Calls
3 calls:
6.0ms
(* z (log (- 1.0 y)))
1.0ms
(fma (log y) x (- (* z (log (- 1.0 y))) t))
4.0ms
(log (- 1.0 y))

series235.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* z (log (- 1.0 y)))
127.0ms
(fma (log y) x (- (* z (log (- 1.0 y))) t))
42.0ms
(log (- 1.0 y))

simplify107.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0332427
11128376
24553369
35001366

prune202.0ms

Filtered
68 candidates to 52 candidates (76.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New64468
Fresh101
Picked101
Done000
Total66470

Merged error: 0.1b

Counts
70 → 4

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.2b
(fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt prod-diff
23×*-un-lft-identity
20×add-cube-cbrt
17×distribute-rgt-in distribute-lft-in
11×pow1
7×log-pow
6×log-prod associate-*r* associate--l+
4×add-exp-log add-cbrt-cube
3×associate-*l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u distribute-lft-out-- add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef difference-of-squares unswap-sqr
Counts
2 → 69
Calls
2 calls:
10.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
1.0ms
(fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

series269.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
167.0ms
(fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

simplify48.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03011692
111931016
25001936

prune189.0ms

Filtered
75 candidates to 39 candidates (52.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New74175
Fresh123
Picked011
Done000
Total75479

Merged error: 0.1b

Counts
79 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))) (cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))))
0.5b
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))
0.5b
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))
0.5b
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) 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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
5.0ms
(* (cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))) (cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))))
1.0ms
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))
1.0ms
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))
1.0ms
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))

series1.3s

Counts
4 → 12
Calls
4 calls:
358.0ms
(* (cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))) (cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))))
328.0ms
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))
316.0ms
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))
324.0ms
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))

simplify65.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04212516
115382319
250022069

prune500.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New84993
Fresh112
Picked011
Done011
Total851297

Merged error: 0.1b

Counts
97 → 12

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))
0.5b
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))
0.5b
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))
0.5b
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))
1.0ms
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))
1.0ms
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))
1.0ms
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))

series1.4s

Counts
4 → 12
Calls
4 calls:
333.0ms
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))
346.0ms
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))
333.0ms
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))
341.0ms
(cbrt (fma (log y) x (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t)))

simplify73.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
02311536
16481424
223461320
350011312

prune466.0ms

Filtered
64 candidates to 60 candidates (93.8%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New62264
Fresh189
Picked011
Done022
Total631376

Merged error: 0.1b

Counts
76 → 13

regimes359.0ms

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
02312
12312

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.1s24134×body80nan
276.0ms5580×body80valid
248.0ms862×body640valid
241.0ms415×body1280valid
123.0ms726×body320valid
45.0ms433×body160valid

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