Details

Time bar (total: 2.5s)

sample36.0ms

Algorithm
intervals
Results
14.0ms75×body1280valid
8.0ms60×body640valid
2.0ms89×body80valid
2.0ms94×body80overflowed
2.0ms24×body320valid
0.0ms8×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: 41.9b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (exp x) (- (exp x) 1.0))
2.7b
(- (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)

series44.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (exp x) (- (exp x) 1.0))
15.0ms
(- (exp x) 1.0)

simplify70.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0180378
1542357
22174354
35003354

prune100.0ms

Filtered
57 candidates to 41 candidates (71.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New55257
Fresh000
Picked101
Done000
Total56258

Merged error: 0.0b

Counts
58 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.0b
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
0.1b
(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b
(* x 1/6)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
12×add-exp-log
11×associate-*l*
10×add-cbrt-cube
9×times-frac
6×pow1 associate-*r* add-log-exp
5×unswap-sqr
4×unpow-prod-down prod-exp
3×flip3-+ associate-/r* flip-+ associate-/l*
2×distribute-rgt-in associate-+l+ distribute-lft-in associate-*r/ associate-/r/ *-commutative cbrt-unprod unpow2 sqr-pow
1×cbrt-undiv +-commutative pow-to-exp frac-2neg div-exp pow-prod-down pow-exp clear-num sum-log div-inv
Counts
4 → 91
Calls
4 calls:
10.0ms
(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
8.0ms
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
7.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms
(* x 1/6)

series148.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
26.0ms
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
66.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms
(* x 1/6)

simplify68.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0429745
12022685
25002683

prune183.0ms

Filtered
103 candidates to 73 candidates (70.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1021103
Fresh011
Picked011
Done000
Total1023105

Merged error: 0.0b

Counts
105 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow x 2) (+ (* x 1/6) 1/2))
0.1b
(pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3)
0.3b
(* x 1/6)
34.0b
(cbrt (pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
12×add-exp-log cbrt-prod
11×associate-*l*
10×unpow-prod-down
9×add-cbrt-cube
7×pow1
6×cube-prod associate-*r*
5×unswap-sqr
4×cube-div prod-exp add-log-exp sqr-pow
3×pow-unpow flip3-+ flip-+
2×cube-mult pow-to-exp cbrt-div unpow3 associate-*r/ pow-exp *-commutative cbrt-unprod unpow2
1×distribute-rgt-in pow-pow distribute-lft-in pow1/3 pow-prod-down rem-cbrt-cube rem-cube-cbrt
Counts
4 → 97
Calls
4 calls:
8.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
9.0ms
(pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3)
4.0ms
(* x 1/6)
9.0ms
(cbrt (pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3))

series149.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
41.0ms
(pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3)
13.0ms
(* x 1/6)
28.0ms
(cbrt (pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3))

simplify78.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0453757
12201706
25001700

prune201.0ms

Filtered
109 candidates to 63 candidates (57.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh011
Picked011
Done011
Total1093112

Merged error: 0.0b

Counts
112 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (exp x))
0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
2.7b
(- 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)))

series102.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(/ 1.0 (exp x))
52.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
37.0ms
(- 1 (/ 1.0 (exp x)))

simplify39.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0310722
11324620
25002618

prune117.0ms

Filtered
106 candidates to 60 candidates (56.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1051106
Fresh000
Picked011
Done022
Total1054109

Merged error: 0.0b

Counts
109 → 4

regimes44.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample955.0ms

Algorithm
intervals
Results
415.0ms2291×body1280valid
201.0ms1683×body640valid
61.0ms2873×body80valid
60.0ms786×body320valid
55.0ms2650×body80overflowed
18.0ms370×body160valid

Profiling

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