Details

Time bar (total: 9.0s)

sample174.0ms

Algorithm
intervals
Results
104.0ms110×body1280valid
41.0ms80×body640valid
10.0ms42×body320valid
5.0ms256×pre80true
2.0ms14×body160valid
1.0ms10×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0105
1115
2115

prune2.0ms

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: 61.3b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.2b
(log (+ 1.0 x))
5.2b
(log (- 1.0 x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
16×times-frac
15×pow1 add-cube-cbrt
12×log-pow
9×log-prod
7×add-exp-log
6×log-div
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-- div-sub rem-log-exp flip--
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 75
Calls
3 calls:
6.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
4.0ms
(log (- 1.0 x))

series220.0ms

Counts
3 → 9
Calls
3 calls:
128.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
47.0ms
(log (+ 1.0 x))
44.0ms
(log (- 1.0 x))

simplify54.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0452686
11669638
25001623

prune194.0ms

Filtered
84 candidates to 61 candidates (72.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New76884
Fresh000
Picked011
Done000
Total76985

Merged error: 59.1b

Counts
85 → 9

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
5.2b
(log (- 1.0 x))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
92×times-frac
83×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
49×*-un-lft-identity
47×add-cube-cbrt
29×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×pow1 div-exp prod-exp add-cbrt-cube
6×pow-to-exp pow-exp
5×log-prod log-pow
4×log-div associate-/l*
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u add-log-exp
2×cbrt-undiv flip3-- div-sub flip-- cbrt-unprod div-inv
1×frac-2neg associate-*r/ rem-log-exp pow-prod-down clear-num *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 165
Calls
3 calls:
20.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
6.0ms
(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
4.0ms
(log (- 1.0 x))

series243.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
138.0ms
(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
49.0ms
(log (- 1.0 x))

simplify96.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09281453
138371286
250011286

prune424.0ms

Filtered
174 candidates to 116 candidates (66.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1731174
Fresh527
Picked101
Done011
Total1794183

Merged error: 0.0b

Counts
183 → 4

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
158×add-sqr-sqrt
136×associate-*r*
112×unpow-prod-down
94×*-un-lft-identity
82×add-cube-cbrt
51×add-exp-log
48×unpow2 sqr-pow
34×unswap-sqr
20×prod-exp
19×div-exp
15×add-cbrt-cube
12×pow-to-exp pow-exp
11×pow1
8×distribute-lft-out--
6×associate-*l* associate-/l*
4×log-pow cbrt-unprod difference-of-squares
3×cbrt-undiv expm1-log1p-u associate-/r* log1p-expm1-u div-inv add-log-exp
2×associate-*r/ pow-prod-down *-commutative associate-/l/
1×flip3-- frac-2neg div-sub clear-num flip--
Counts
3 → 268
Calls
3 calls:
20.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
20.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
9.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series233.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
56.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
127.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify102.0ms

Algorithm
egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07532429
131742138
250012135

prune693.0ms

Filtered
277 candidates to 173 candidates (62.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2725277
Fresh022
Picked011
Done011
Total2729281

Merged error: 0.0b

Counts
281 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(expm1 (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
0.0b
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
0.0b
(log1p (expm1 (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
98×times-frac
91×add-sqr-sqrt
68×associate-*r*
61×*-un-lft-identity
56×unpow-prod-down
49×add-cube-cbrt
29×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
11×add-cbrt-cube
10×pow1 div-exp prod-exp
8×distribute-lft-out--
6×pow-to-exp pow-exp associate-/l*
5×log1p-expm1-u
4×expm1-log1p-u log-pow add-log-exp difference-of-squares
3×associate-*l* associate-/r*
2×cbrt-undiv cbrt-unprod div-inv associate-/l/
1×log1p-udef expm1-log1p flip3-- frac-2neg div-sub log1p-expm1 associate-*r/ pow-prod-down clear-num *-commutative flip-- expm1-udef
Counts
4 → 178
Calls
4 calls:
25.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
1.0ms
(expm1 (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
9.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
1.0ms
(log1p (expm1 (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))))

series635.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
185.0ms
(expm1 (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
129.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
265.0ms
(log1p (expm1 (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))))

simplify95.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
08302287
134182038
250022035

prune540.0ms

Filtered
190 candidates to 124 candidates (65.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1900190
Fresh066
Picked011
Done022
Total1909199

Merged error: 0.0b

Counts
199 → 9

regimes81.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01816
11816

end0.0ms

sample5.0s

Algorithm
intervals
Results
3.1s3318×body1280valid
1.2s2556×body640valid
313.0ms1270×body320valid
146.0ms8000×pre80true
87.0ms613×body160valid
15.0ms243×body80valid