Details

Time bar (total: 2.5s)

sample34.0ms

Algorithm
intervals
Results
15.0ms82×body1280valid
5.0ms43×body640valid
2.0ms91×body80valid
2.0ms28×body320valid
2.0ms89×body80overflowed
1.0ms12×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: 41.7b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (exp x) (- (exp x) 1.0))
3.9b
(- (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:
6.0ms
(/ (exp x) (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)

series44.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (exp x) (- (exp x) 1.0))
14.0ms
(- (exp x) 1.0)

simplify70.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0180378
1542357
22174354
35003354

prune107.0ms

Filtered
57 candidates to 41 candidates (71.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New52557
Fresh000
Picked101
Done000
Total53558

Merged error: 0.0b

Counts
58 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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:
7.0ms
(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
5.0ms
(+ (* 1/12 x) (/ 1 x))
7.0ms
(* 1/12 x)

series71.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
39.0ms
(+ (* 1/12 x) (/ 1 x))
13.0ms
(* 1/12 x)

simplify105.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0200216
1705204
23820203
35002203

prune67.0ms

Filtered
52 candidates to 34 candidates (65.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New52052
Fresh044
Picked011
Done000
Total52557

Merged error: 0.0b

Counts
57 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (exp x))
0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
3.9b
(- 1 (/ 1.0 (exp x)))

rewrite23.0ms

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))))
7.0ms
(- 1 (/ 1.0 (exp x)))

series98.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(/ 1.0 (exp x))
52.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
34.0ms
(- 1 (/ 1.0 (exp x)))

simplify40.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0310722
11324620
25002618

prune126.0ms

Filtered
106 candidates to 60 candidates (56.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1051106
Fresh213
Picked101
Done011
Total1083111

Merged error: 0.0b

Counts
111 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (- (exp x) 1.0) (sqrt (exp x)))
0.5b
(/ (sqrt (exp x)) (/ (- (exp x) 1.0) (sqrt (exp x))))
3.9b
(- (exp x) 1.0)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
444×times-frac
311×add-sqr-sqrt *-un-lft-identity
228×sqrt-prod
211×add-cube-cbrt
50×distribute-lft-out-- difference-of-squares
40×associate-/r*
11×associate-/l*
10×add-exp-log add-cbrt-cube
9×div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×flip3-- frac-2neg clear-num flip-- associate-/l/
1×sub-neg diff-log div-sub associate-/r/
Counts
3 → 329
Calls
3 calls:
8.0ms
(/ (- (exp x) 1.0) (sqrt (exp x)))
16.0ms
(/ (sqrt (exp x)) (/ (- (exp x) 1.0) (sqrt (exp x))))
4.0ms
(- (exp x) 1.0)

series107.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ (- (exp x) 1.0) (sqrt (exp x)))
26.0ms
(/ (sqrt (exp x)) (/ (- (exp x) 1.0) (sqrt (exp x))))
14.0ms
(- (exp x) 1.0)

simplify128.0ms

Algorithm
egg-herbie
Counts
338 → 338
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08055212
142174670
250024644

prune370.0ms

Filtered
338 candidates to 145 candidates (42.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3371338
Fresh011
Picked011
Done011
Total3374341

Merged error: 0b

Counts
341 → 4

regimes45.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms

sample936.0ms

Algorithm
intervals
Results
401.0ms2229×body1280valid
198.0ms1656×body640valid
65.0ms845×body320valid
62.0ms2837×body80valid
51.0ms2554×body80overflowed
24.0ms433×body160valid

Profiling

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