Details

Time bar (total: 3.2s)

sample73.0ms

Algorithm
intervals
Results
31.0ms100×body1280valid
14.0ms76×body640valid
7.0ms241×body80overflowed
5.0ms40×body320valid
2.0ms25×body160valid
1.0ms15×body80valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0159
1249
2329
3449
4599
51749
611539
750019

prune7.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.0b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (neg x)))
1.7b
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
8.4b
(- (exp x) (exp (neg x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
26×add-sqr-sqrt
20×times-frac
14×add-cube-cbrt
distribute-lft-out add-log-exp
distribute-lft-out-- difference-of-squares
add-exp-log add-cbrt-cube associate-/l*
associate-/r*
pow1
flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub tanh-undef div-exp clear-num sum-log div-inv
Counts
3 → 73
Calls
3 calls:
4.0ms
(+ (exp x) (exp (neg x)))
10.0ms
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
5.0ms
(- (exp x) (exp (neg x)))

series164.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (exp x) (exp (neg x)))
92.0ms
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
45.0ms
(- (exp x) (exp (neg x)))

simplify246.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0285936
1951868
24961857
35001857

prune228.0ms

Filtered
82 candidates to 59 candidates (28.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New81182
Fresh000
Picked101
Done000
Total82183

Merged error: 0.0b

Counts
83 → 1

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b
(tanh x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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)

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(tanh x)

simplify79.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
09248
120645
261945
3320345
4500245

prune23.0ms

Filtered
13 candidates to 11 candidates (15.4%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New13013
Fresh000
Picked011
Done000
Total13114

Merged error: 0.0b

Counts
14 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.1s3299×body1280valid
463.0ms2404×body640valid
220.0ms7488×body80overflowed
152.0ms1263×body320valid
45.0ms604×body160valid
16.0ms430×body80valid

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