Details

Time bar (total: 4.0s)

sample119.0ms

Algorithm
halfpoints

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0307
1477
2847
31317
42237
54667
611237
722447
850027

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
17×add-sqr-sqrt
16×associate-*l*
13×times-frac
12×add-cube-cbrt
add-exp-log add-cbrt-cube
pow1 distribute-lft-out add-log-exp
fma-def associate-*r*
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv
Counts
2 → 54
Calls
2 calls:
5.0ms
(+ (exp x) (exp (- x)))
11.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series84.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (exp x) (exp (- x)))
61.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify166.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0286487
11053428
24913426
35001426

prune160.0ms

Filtered
60 candidates to 47 candidates (78.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (+ (exp x) (exp (- x))))
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×*-un-lft-identity
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-div
flip3-+ flip-+ distribute-lft-out
Counts
4 → 55
Calls
4 calls:
5.0ms
(cbrt (+ (exp x) (exp (- x))))
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)

series131.0ms

Counts
4 → 6
Calls
4 calls:
131.0ms
(cbrt (+ (exp x) (exp (- x))))
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)

simplify62.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0148307
1436286
21752270
35001270

prune217.0ms

Filtered
61 candidates to 50 candidates (82.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
0.3b
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.3b
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.3b
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
add-cube-cbrt *-un-lft-identity associate-*l/
cbrt-prod cbrt-div
add-exp-log
expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
8.0ms
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
8.0ms
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
8.0ms
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

series624.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
142.0ms
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
145.0ms
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
141.0ms
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

simplify156.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (148.0ms)

IterNodesCost
02371074
1927937
24704847
35001844

prune263.0ms

Filtered
84 candidates to 65 candidates (77.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

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
0127
1127

end0.0ms

sample1.8s

Algorithm
halfpoints