Details

Time bar (total: 2.8s)

sample36.0ms

Algorithm
intervals
Results
14.0ms80×body1280valid
6.0ms56×body640valid
2.0ms26×body320valid
2.0ms81×body80valid
2.0ms80×body80overflowed
1.0ms13×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
184
284

prune7.0ms

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: 43.8b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (exp x) (- (exp x) 1.0))
2.9b
(- (exp x) 1.0)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r* distribute-lft-out-- difference-of-squares
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
7.0ms
(/ (exp x) (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)

series39.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (exp x) (- (exp x) 1.0))
14.0ms
(- (exp x) 1.0)

simplify68.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0180378
1542357
22174354
35003354

prune149.0ms

Filtered
57 candidates to 41 candidates (71.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New53457
Fresh000
Picked101
Done000
Total54458

Merged error: 0b

Counts
58 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1/12 x) (/ 1 x))
0.0b
(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
0.3b
(* 1/12 x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×sum-log
3×associate-*r* associate-*l*
2×+-commutative flip3-+ flip-+
1×associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 43
Calls
3 calls:
5.0ms
(+ (* 1/12 x) (/ 1 x))
9.0ms
(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
3.0ms
(* 1/12 x)

series67.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ (* 1/12 x) (/ 1 x))
14.0ms
(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
13.0ms
(* 1/12 x)

simplify105.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0200216
1705204
23820203
35002203

prune99.0ms

Filtered
52 candidates to 34 candidates (65.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New52052
Fresh033
Picked011
Done000
Total52456

Merged error: 0b

Counts
56 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b
(/ 1.0 (exp x))
2.9b
(- 1 (/ 1.0 (exp x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
44×*-un-lft-identity
43×times-frac
24×add-cube-cbrt
20×difference-of-squares
11×associate-/r*
8×add-exp-log
7×add-cbrt-cube
6×associate-/l*
5×distribute-lft-out-- add-log-exp
4×pow1
3×div-exp
2×cbrt-undiv flip3-- frac-2neg clear-num associate-/r/ flip-- div-inv
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
3 → 97
Calls
3 calls:
8.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
4.0ms
(/ 1.0 (exp x))
6.0ms
(- 1 (/ 1.0 (exp x)))

series99.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
13.0ms
(/ 1.0 (exp x))
38.0ms
(- 1 (/ 1.0 (exp x)))

simplify37.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0310722
11319620
25001618

prune174.0ms

Filtered
106 candidates to 60 candidates (56.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh022
Picked011
Done011
Total1064110

Merged error: 0b

Counts
110 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp x) (exp x))
0.2b
(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
0.3b
(/ (exp x) (/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0)))
2.8b
(- (* (exp x) (exp x)) (* 1.0 1.0))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
146×times-frac
125×*-un-lft-identity
85×add-sqr-sqrt
83×add-cube-cbrt
26×associate-/r*
22×difference-of-squares
21×distribute-lft-out
18×exp-prod
13×add-cbrt-cube
11×pow1 associate-/r/
9×add-exp-log
7×associate-/l*
6×div-inv add-log-exp
5×flip3-+ flip-+
4×cbrt-undiv div-exp pow-prod-down pow-sqr pow-prod-up
3×swap-sqr associate-*r* associate-*l*
2×flip3-- frac-2neg clear-num flip-- associate-/l/
1×pow2 sub-neg pow-plus diff-log div-sub prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 194
Calls
4 calls:
6.0ms
(* (exp x) (exp x))
11.0ms
(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
14.0ms
(/ (exp x) (/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0)))
6.0ms
(- (* (exp x) (exp x)) (* 1.0 1.0))

series155.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (exp x) (exp x))
49.0ms
(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
63.0ms
(/ (exp x) (/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0)))
29.0ms
(- (* (exp x) (exp x)) (* 1.0 1.0))

simplify160.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (137.0ms)

IterNodesCost
06972666
142282519
250022515

prune465.0ms

Filtered
206 candidates to 148 candidates (71.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2060206
Fresh011
Picked011
Done022
Total2064210

Merged error: 0b

Counts
210 → 4

regimes96.0ms

Accuracy

97.5% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02515
12515

end0.0ms

sample952.0ms

Algorithm
intervals
Results
403.0ms2270×body1280valid
182.0ms1620×body640valid
62.0ms818×body320valid
61.0ms2860×body80valid
48.0ms2574×body80overflowed
20.0ms433×body160valid

Profiling

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