Details

Time bar (total: 2.8s)

sample34.0ms

Algorithm
intervals
Results
14.0ms79×body1280valid
7.0ms60×body640valid
2.0ms86×body80valid
1.0ms71×body80overflowed
1.0ms14×body320valid
1.0ms17×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: 42.1b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:
10.0ms
(/ (exp x) (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)

series41.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (exp x) (- (exp x) 1.0))
15.0ms
(- (exp x) 1.0)

simplify71.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0180378
1542357
22174354
35003354

prune114.0ms

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: 0.1b

Counts
58 → 4

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:
5.0ms
(+ (* 1/12 x) (/ 1 x))
4.0ms
(* 1/12 x)

series56.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ (* 1/12 x) (/ 1 x))
13.0ms
(* 1/12 x)

simplify69.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0130119
1448109
22305108
35001108

prune50.0ms

Filtered
35 candidates to 23 candidates (65.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New34135
Fresh033
Picked011
Done000
Total34539

Merged error: 0.0b

Counts
39 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
6.0ms
(cbrt (+ (* 1/12 x) (/ 1 x)))
5.0ms
(cbrt (+ (* 1/12 x) (/ 1 x)))
5.0ms
(cbrt (+ (* 1/12 x) (/ 1 x)))
15.0ms
(* (cbrt (+ (* 1/12 x) (/ 1 x))) (cbrt (+ (* 1/12 x) (/ 1 x))))

series460.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(cbrt (+ (* 1/12 x) (/ 1 x)))
107.0ms
(cbrt (+ (* 1/12 x) (/ 1 x)))
107.0ms
(cbrt (+ (* 1/12 x) (/ 1 x)))
132.0ms
(* (cbrt (+ (* 1/12 x) (/ 1 x))) (cbrt (+ (* 1/12 x) (/ 1 x))))

simplify53.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03611208
112431135
250011081

prune237.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh033
Picked011
Done011
Total995104

Merged error: 0.0b

Counts
104 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (exp x) (- (* (exp x) (exp x)) (* 1.0 1.0))) (+ (exp x) 1.0))
0.0b
(* (exp x) (exp x))
0.0b
(/ (exp x) (- (* (exp x) (exp x)) (* 1.0 1.0)))
3.8b
(- (* (exp x) (exp x)) (* 1.0 1.0))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
34×*-un-lft-identity
32×add-cube-cbrt
25×times-frac
21×associate-*l*
18×exp-prod
13×pow1 add-cbrt-cube
9×add-exp-log
8×difference-of-squares
7×associate-*r*
6×add-log-exp
5×pow-prod-down
4×associate-/r* associate-/r/ pow-sqr pow-prod-up
3×flip3-- swap-sqr prod-exp flip-- cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv frac-times flip3-+ associate-*r/ div-exp *-commutative flip-+ div-inv
1×pow2 distribute-rgt-in sub-neg frac-2neg distribute-lft-in pow-plus diff-log associate-*l/ clear-num distribute-lft-out
Counts
4 → 124
Calls
4 calls:
16.0ms
(* (/ (exp x) (- (* (exp x) (exp x)) (* 1.0 1.0))) (+ (exp x) 1.0))
7.0ms
(* (exp x) (exp x))
9.0ms
(/ (exp x) (- (* (exp x) (exp x)) (* 1.0 1.0)))
10.0ms
(- (* (exp x) (exp x)) (* 1.0 1.0))

series165.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (/ (exp x) (- (* (exp x) (exp x)) (* 1.0 1.0))) (+ (exp x) 1.0))
13.0ms
(* (exp x) (exp x))
59.0ms
(/ (exp x) (- (* (exp x) (exp x)) (* 1.0 1.0)))
25.0ms
(- (* (exp x) (exp x)) (* 1.0 1.0))

simplify85.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
05821234
128491102
250011088

prune233.0ms

Filtered
136 candidates to 101 candidates (74.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1351136
Fresh112
Picked101
Done022
Total1374141

Merged error: 0.0b

Counts
141 → 4

regimes41.0ms

Accuracy

96.3% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 21.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03014
13014

end0.0ms

sample920.0ms

Algorithm
intervals
Results
403.0ms2244×body1280valid
186.0ms1626×body640valid
63.0ms818×body320valid
63.0ms2915×body80valid
48.0ms2485×body80overflowed
21.0ms399×body160valid

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