Details

Time bar (total: 2.4s)

sample33.0ms

Algorithm
intervals
Results
12.0ms68×body1280valid
6.0ms48×body640valid
2.0ms100×body80valid
2.0ms23×body320valid
2.0ms85×body80overflowed
1.0ms17×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
184
284

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 39.2b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (exp x) (- (exp x) 1.0))
5.6b
(- (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)

series8.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (exp x) (- (exp x) 1.0))
2.0ms
(- (exp x) 1.0)

simplify68.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0180378
1542357
22174354
35003354

prune78.0ms

Filtered
41 candidates to 57 candidates (-39.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New53457
Fresh000
Picked101
Done000
Total54458

Merged error: 0.0b

Counts
58 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1/12 x) (/ 1 x))
0.4b
(* 1/12 x)

rewrite9.0ms

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))
3.0ms
(* 1/12 x)

series6.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (* 1/12 x) (/ 1 x))
2.0ms
(* 1/12 x)

simplify67.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0130119
1448109
22305108
35001108

prune41.0ms

Filtered
23 candidates to 35 candidates (-52.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New35035
Fresh033
Picked011
Done000
Total35439

Merged error: 0.0b

Counts
39 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b
(/ 1.0 (exp x))
5.6b
(- 1 (/ 1.0 (exp x)))

rewrite22.0ms

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:
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
4.0ms
(/ 1.0 (exp x))
7.0ms
(- 1 (/ 1.0 (exp x)))

series21.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
4.0ms
(/ 1.0 (exp x))
6.0ms
(- 1 (/ 1.0 (exp x)))

simplify36.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0310722
11324620
25001618

prune86.0ms

Filtered
60 candidates to 106 candidates (-76.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh022
Picked011
Done011
Total1064110

Merged error: 0.0b

Counts
110 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) 3)
0.3b
(/ (exp x) (- (pow (exp x) 3) (pow 1.0 3)))
0.3b
(* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
5.6b
(- (pow (exp x) 3) (pow 1.0 3))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
265×add-sqr-sqrt
151×times-frac
148×*-un-lft-identity
128×difference-of-squares
99×unpow-prod-down cube-prod
81×associate-*l*
68×add-cube-cbrt
65×sqr-pow
40×distribute-lft-out--
25×associate-/r*
12×add-cbrt-cube
9×add-exp-log
8×difference-cubes
7×pow1
6×add-log-exp
4×pow-pow associate-/r/
3×pow-unpow exp-prod flip3-- associate-*r* flip-- associate-/l*
2×cbrt-undiv frac-times flip3-+ associate-*r/ div-exp prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
1×distribute-rgt-in cube-mult pow-to-exp sub-neg frac-2neg distribute-lft-in diff-log unpow3 pow-prod-down associate-*l/ pow-exp clear-num *-commutative rem-cube-cbrt
Counts
4 → 283
Calls
4 calls:
3.0ms
(pow (exp x) 3)
16.0ms
(/ (exp x) (- (pow (exp x) 3) (pow 1.0 3)))
34.0ms
(* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
11.0ms
(- (pow (exp x) 3) (pow 1.0 3))

series47.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(pow (exp x) 3)
13.0ms
(/ (exp x) (- (pow (exp x) 3) (pow 1.0 3)))
23.0ms
(* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
6.0ms
(- (pow (exp x) 3) (pow 1.0 3))

simplify58.0ms

Algorithm
egg-herbie
Counts
295 → 295
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010103589
150013450

prune510.0ms

Filtered
174 candidates to 295 candidates (-69.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2950295
Fresh011
Picked011
Done022
Total2954299

Merged error: 0.0b

Counts
299 → 4

regimes93.0ms

Accuracy

96% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 21.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03320
13320

end0.0ms

sample1.0s

Algorithm
intervals
Results
430.0ms2263×body1280valid
202.0ms1636×body640valid
68.0ms818×body320valid
64.0ms2869×body80valid
54.0ms2574×body80overflowed
22.0ms418×body160valid

Profiling

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