Details

Time bar (total: 6.3s)

sample149.0ms

Algorithm
intervals
Results
98.0ms179×body1280valid
13.0ms286×body80valid
12.0ms39×body640valid
4.0ms20×body320valid
2.0ms13×body160valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
057188

prune14.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.9b

Counts
2 → 2

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp (neg x)) 2.0)
4.8b
(+ (exp x) (- (exp (neg x)) 2.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity add-log-exp
4×add-sqr-sqrt
2×pow1 add-exp-log add-cube-cbrt sub-neg associate-+r+ diff-log sum-log add-cbrt-cube distribute-lft-out distribute-lft-out--
1×+-commutative associate-+r- flip3-- flip3-+ flip-- flip-+ difference-of-squares
Counts
2 → 31
Calls
2 calls:
9.0ms
(- (exp (neg x)) 2.0)
12.0ms
(+ (exp x) (- (exp (neg x)) 2.0))

series14.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- (exp (neg x)) 2.0)
11.0ms
(+ (exp x) (- (exp (neg x)) 2.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05187343

prune107.0ms

Filtered
25 candidates to 37 candidates (-48.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New34337
Fresh101
Picked101
Done000
Total36339

Merged error: 0.0b

Counts
39 → 3

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.1b
(* 1/360 (pow x 6))
0.1b
(* 1/12 (pow x 4))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×associate-*r*
13×add-exp-log
9×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down
7×add-cbrt-cube
6×associate-*l* prod-exp unswap-sqr
5×add-log-exp
4×sqr-pow
3×pow1
2×pow-to-exp pow-exp *-commutative cbrt-unprod
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 61
Calls
3 calls:
8.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
8.0ms
(* 1/360 (pow x 6))
9.0ms
(* 1/12 (pow x 4))

series33.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
7.0ms
(* 1/360 (pow x 6))
6.0ms
(* 1/12 (pow x 4))

simplify95.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
05226547

prune162.0ms

Filtered
44 candidates to 70 candidates (-59.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh022
Picked011
Done000
Total70373

Merged error: 0.0b

Counts
73 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (+ (exp x) (- (exp (neg x)) 2.0))) (cbrt (+ (exp x) (- (exp (neg x)) 2.0))))
4.8b
(+ (exp x) (- (exp (neg x)) 2.0))
4.8b
(+ (exp x) (- (exp (neg x)) 2.0))
4.8b
(+ (exp x) (- (exp (neg x)) 2.0))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity
36×cbrt-prod
22×distribute-lft-out
20×add-sqr-sqrt
19×add-log-exp
14×swap-sqr
12×add-cube-cbrt cbrt-div
11×pow1 distribute-lft-out--
9×flip3-+ flip-+
8×associate-*r* associate-*l*
6×add-exp-log associate-+r+ pow1/3 sum-log
4×frac-times add-cbrt-cube unswap-sqr
3×+-commutative associate-+r- sub-neg diff-log
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 111
Calls
4 calls:
34.0ms
(* (cbrt (+ (exp x) (- (exp (neg x)) 2.0))) (cbrt (+ (exp x) (- (exp (neg x)) 2.0))))
14.0ms
(+ (exp x) (- (exp (neg x)) 2.0))
16.0ms
(+ (exp x) (- (exp (neg x)) 2.0))
13.0ms
(+ (exp x) (- (exp (neg x)) 2.0))

series97.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (cbrt (+ (exp x) (- (exp (neg x)) 2.0))) (cbrt (+ (exp x) (- (exp (neg x)) 2.0))))
12.0ms
(+ (exp x) (- (exp (neg x)) 2.0))
12.0ms
(+ (exp x) (- (exp (neg x)) 2.0))
13.0ms
(+ (exp x) (- (exp (neg x)) 2.0))

simplify103.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
049881723
149881723

prune276.0ms

Filtered
70 candidates to 123 candidates (-75.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1212123
Fresh101
Picked101
Done011
Total1233126

Merged error: 0.0b

Counts
126 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (sqrt (cbrt (+ (exp x) (- (exp (neg x)) 2.0)))) 3)
4.8b
(+ (exp x) (- (exp (neg x)) 2.0))
4.8b
(+ (exp x) (- (exp (neg x)) 2.0))
4.8b
(+ (exp x) (- (exp (neg x)) 2.0))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
19×add-log-exp
16×sqrt-prod
11×add-sqr-sqrt add-cube-cbrt unpow-prod-down cube-prod
10×cbrt-prod distribute-lft-out
6×pow1 associate-+r+ sum-log
5×add-exp-log add-cbrt-cube distribute-lft-out--
4×pow-pow flip3-+ flip-+
3×+-commutative associate-+r- sub-neg pow-unpow diff-log
2×cube-div cbrt-div sqrt-pow1 sqrt-div
1×cube-mult pow-to-exp pow1/2 pow1/3 unpow3 pow-exp sqrt-pow2 rem-cube-cbrt sqr-pow
Counts
4 → 96
Calls
4 calls:
18.0ms
(pow (sqrt (cbrt (+ (exp x) (- (exp (neg x)) 2.0)))) 3)
13.0ms
(+ (exp x) (- (exp (neg x)) 2.0))
13.0ms
(+ (exp x) (- (exp (neg x)) 2.0))
13.0ms
(+ (exp x) (- (exp (neg x)) 2.0))

series109.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(pow (sqrt (cbrt (+ (exp x) (- (exp (neg x)) 2.0)))) 3)
16.0ms
(+ (exp x) (- (exp (neg x)) 2.0))
12.0ms
(+ (exp x) (- (exp (neg x)) 2.0))
12.0ms
(+ (exp x) (- (exp (neg x)) 2.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
051541370

prune303.0ms

Filtered
60 candidates to 108 candidates (-80.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh011
Picked011
Done011
Total1083111

Merged error: 0.0b

Counts
111 → 3

regimes56.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01615
11615

end0.0ms

sample4.3s

Algorithm
intervals
Results
3.0s5736×body1280valid
362.0ms8097×body80valid
347.0ms1189×body640valid
111.0ms603×body320valid
34.0ms288×body160valid

Profiling

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