Details

Time bar (total: 2.8s)

sample37.0ms

Algorithm
intervals
Results
15.0ms78×body1280valid
7.0ms58×body640valid
2.0ms90×body80valid
2.0ms73×body80overflowed
1.0ms18×body320valid
1.0ms12×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
184
284

prune3.0ms

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: 41.6b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ (exp x) (- (exp x) 1.0))
3.1b
(- (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)

series46.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (exp x) (- (exp x) 1.0))
20.0ms
(- (exp x) 1.0)

simplify68.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0180378
1542357
22174354
35003354

prune148.0ms

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: 0.0b

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)

rewrite17.0ms

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))
7.0ms
(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
3.0ms
(* 1/12 x)

series69.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (* 1/12 x) (/ 1 x))
17.0ms
(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
13.0ms
(* 1/12 x)

simplify103.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0200216
1705204
23820203
35002203

prune113.0ms

Filtered
52 candidates to 34 candidates (65.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New51152
Fresh033
Picked011
Done000
Total51556

Merged error: 0.0b

Counts
56 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x))))
0.4b
(cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x))))
0.4b
(cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x))))
0.5b
(* (cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x)))) (cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
7.0ms
(cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x))))
7.0ms
(cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x))))
6.0ms
(cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x))))
17.0ms
(* (cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x)))) (cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x)))))

series266.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x))))
65.0ms
(cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x))))
71.0ms
(cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x))))
57.0ms
(* (cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x)))) (cbrt (+ 1/2 (+ (* 1/12 x) (/ 1 x)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03351416
111741337
250021214

prune317.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh033
Picked011
Done011
Total1075112

Merged error: 0.0b

Counts
112 → 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))))
3.1b
(- 1 (/ 1.0 (exp x)))

rewrite27.0ms

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))))
11.0ms
(- 1 (/ 1.0 (exp x)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ 1.0 (exp x))
52.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
36.0ms
(- 1 (/ 1.0 (exp x)))

simplify40.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0310722
11324620
25002618

prune180.0ms

Filtered
106 candidates to 60 candidates (56.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1042106
Fresh112
Picked101
Done022
Total1065111

Merged error: 0.0b

Counts
111 → 5

regimes110.0ms

Accuracy

97% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 21.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02615
12615

end0.0ms

sample993.0ms

Algorithm
intervals
Results
428.0ms2295×body1280valid
197.0ms1660×body640valid
63.0ms829×body320valid
58.0ms2843×body80valid
49.0ms2566×body80overflowed
18.0ms373×body160valid

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