Details

Time bar (total: 2.4s)

sample38.0ms

Algorithm
intervals
Results
15.0ms82×body1280valid
6.0ms52×body640valid
5.0ms31×body320valid
2.0ms77×body80valid
2.0ms72×body80overflowed
1.0ms14×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
184
284

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: 44.5b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (exp x) (- (exp x) 1.0))
3.7b
(- (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:
6.0ms
(/ (exp x) (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)

series40.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (exp x) (- (exp x) 1.0))
15.0ms
(- (exp x) 1.0)

simplify71.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0180378
1542357
22174354
35003354

prune107.0ms

Filtered
57 candidates to 41 candidates (71.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New54357
Fresh000
Picked101
Done000
Total55358

Merged error: 0.0b

Counts
58 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 29
Calls
2 calls:
6.0ms
(+ (* 1/12 x) (/ 1 x))
3.0ms
(* 1/12 x)

series55.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* 1/12 x) (/ 1 x))
16.0ms
(* 1/12 x)

simplify70.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0130119
1448109
22305108
35001108

prune48.0ms

Filtered
35 candidates to 23 candidates (65.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34135
Fresh022
Picked011
Done000
Total34438

Merged error: 0.0b

Counts
38 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (neg (/ 1 x)) x)
0.2b
(* 1/144 (* x x))
0.3b
(* 1/12 x)
29.2b
(/ (+ (/ (neg (/ 1 x)) x) (* 1/144 (* x x))) (- (* 1/12 x) (/ 1 x)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
171×times-frac
109×add-sqr-sqrt
106×add-cube-cbrt *-un-lft-identity
52×distribute-lft-neg-in distribute-rgt-neg-in
33×associate-/l*
15×add-exp-log add-cbrt-cube
11×pow1
10×div-inv
6×associate-*l* associate-/r*
4×neg-mul-1 associate-*r* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×div-sub associate-/l/
2×cbrt-undiv neg-sub0 frac-2neg div-exp clear-num associate-/r/ *-commutative unswap-sqr
1×associate-+l- flip3-- flip3-+ distribute-frac-neg flip-- flip-+ distribute-neg-frac
Counts
4 → 207
Calls
4 calls:
9.0ms
(/ (neg (/ 1 x)) x)
8.0ms
(* 1/144 (* x x))
3.0ms
(* 1/12 x)
31.0ms
(/ (+ (/ (neg (/ 1 x)) x) (* 1/144 (* x x))) (- (* 1/12 x) (/ 1 x)))

series190.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (neg (/ 1 x)) x)
24.0ms
(* 1/144 (* x x))
13.0ms
(* 1/12 x)
130.0ms
(/ (+ (/ (neg (/ 1 x)) x) (* 1/144 (* x x))) (- (* 1/12 x) (/ 1 x)))

simplify81.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
07931668
130491354
250011326

prune321.0ms

Filtered
219 candidates to 126 candidates (57.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2190219
Fresh022
Picked011
Done011
Total2194223

Merged error: 0.0b

Counts
223 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (exp x))
0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
3.8b
(- 1 (/ 1.0 (exp x)))

rewrite25.0ms

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:
4.0ms
(/ 1.0 (exp x))
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
9.0ms
(- 1 (/ 1.0 (exp x)))

series99.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ 1.0 (exp x))
52.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
34.0ms
(- 1 (/ 1.0 (exp x)))

simplify39.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0310722
11324620
25002618

prune118.0ms

Filtered
106 candidates to 60 candidates (56.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1042106
Fresh101
Picked101
Done022
Total1064110

Merged error: 0.0b

Counts
110 → 4

regimes39.0ms

Accuracy

97.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 21.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02310
12310

end0.0ms

sample970.0ms

Algorithm
intervals
Results
423.0ms2272×body1280valid
205.0ms1673×body640valid
66.0ms808×body320valid
63.0ms2838×body80valid
56.0ms2582×body80overflowed
21.0ms412×body160valid

Profiling

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