Details

Time bar (total: 4.1s)

sample74.0ms

Algorithm
intervals
Results
33.0ms104×body1280valid
18.0ms91×body640valid
7.0ms234×body80overflowed
3.0ms27×body320valid
2.0ms24×body160valid
0.0ms10×body80valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0159
1249
2329
3449
4599
51749
611539
750019

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: 57.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
6.1b
(- (exp x) (exp (neg x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
25×add-sqr-sqrt
20×times-frac
13×add-cube-cbrt
6×distribute-lft-out distribute-lft-out-- difference-of-squares
5×associate-/l*
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub tanh-undef div-exp clear-num flip-+ div-inv
Counts
2 → 61
Calls
2 calls:
11.0ms
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
8.0ms
(- (exp x) (exp (neg x)))

series108.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
35.0ms
(- (exp x) (exp (neg x)))

simplify105.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0256836
1810780
23280772
35001772

prune128.0ms

Filtered
67 candidates to 47 candidates (70.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New64367
Fresh000
Picked101
Done000
Total65368

Merged error: 0b

Counts
68 → 3

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b
(tanh x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube tanh-def add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(tanh x)

series77.0ms

Counts
1 → 3
Calls
1 calls:
77.0ms
(tanh x)

simplify82.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09248
120645
261945
3320345
4500245

prune21.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13013
Fresh022
Picked011
Done000
Total13316

Merged error: 0b

Counts
16 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
0.0b
(+ x (* 2/15 (pow x 5)))
0.1b
(* 2/15 (pow x 5))
0.1b
(* 1/3 (pow x 3))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×associate-*r*
14×add-exp-log
11×add-cube-cbrt *-un-lft-identity add-log-exp
8×unpow-prod-down add-cbrt-cube
7×unswap-sqr
6×associate-*l* prod-exp
4×pow1 cube-prod sqr-pow
2×pow-to-exp diff-log pow-exp sum-log *-commutative cbrt-unprod
1×+-commutative cube-mult sub-neg flip3-- flip3-+ unpow3 associate--l+ flip-- flip-+
Counts
4 → 81
Calls
4 calls:
5.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
3.0ms
(+ x (* 2/15 (pow x 5)))
5.0ms
(* 2/15 (pow x 5))
10.0ms
(* 1/3 (pow x 3))

series247.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
107.0ms
(+ x (* 2/15 (pow x 5)))
49.0ms
(* 2/15 (pow x 5))
35.0ms
(* 1/3 (pow x 3))

simplify49.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0314435
11370404
25001399

prune147.0ms

Filtered
93 candidates to 59 candidates (63.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done011
Total93396

Merged error: 0b

Counts
96 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.0b
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (neg x))))
0.1b
(* 1/60 (pow x 5))
0.1b
(* 1/3 (pow x 3))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
28×*-un-lft-identity
20×add-cube-cbrt
19×associate-*r*
16×add-exp-log
12×times-frac
10×add-cbrt-cube
9×add-log-exp
8×unpow-prod-down
7×unswap-sqr
6×associate-*l* prod-exp
4×pow1 cube-prod associate-/r* distribute-lft-out sqr-pow
3×flip3-+ sum-log flip-+ associate-/l*
2×pow-to-exp pow-exp associate-/r/ *-commutative cbrt-unprod associate-/l/
1×cbrt-undiv +-commutative cube-mult associate-+r+ frac-2neg unpow3 div-exp clear-num div-inv
Counts
4 → 104
Calls
4 calls:
8.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
16.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (neg x))))
5.0ms
(* 1/60 (pow x 5))
6.0ms
(* 1/3 (pow x 3))

series377.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
233.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (neg x))))
51.0ms
(* 1/60 (pow x 5))
35.0ms
(* 1/3 (pow x 3))

simplify64.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04801097
120771017
250011016

prune272.0ms

Filtered
116 candidates to 76 candidates (65.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1160116
Fresh000
Picked011
Done022
Total1163119

Merged error: 0b

Counts
119 → 3

regimes13.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.0s3348×body1280valid
475.0ms2431×body640valid
228.0ms7554×body80overflowed
146.0ms1214×body320valid
44.0ms590×body160valid
16.0ms417×body80valid

Profiling

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