Details

Time bar (total: 6.4s)

sample24.0ms

Algorithm
intervals
Results
11.0ms270×body80valid
1.0ms4×body640valid
0.0ms1×body1280valid
0.0ms3×body160valid
0.0ms1×body320valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0548
11418
23258
39648
434728
550028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b
(tanh (/ x y))
5.2b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
18×frac-sub
13×tanh-def
11×associate-*r/
9×pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
8×add-log-exp
5×add-cube-cbrt sub-neg associate-*r*
4×distribute-rgt-in associate-+r+ distribute-lft-in
3×pow-prod-down prod-exp cbrt-unprod
2×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ diff-log associate-*l* sum-log *-commutative flip-+
Counts
4 → 83
Calls
4 calls:
9.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
3.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
1.0ms
(tanh (/ x y))
24.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series784.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
329.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
79.0ms
(tanh (/ x y))
157.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify78.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05921136
127181079
250011079

prune320.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(tanh (/ x y))
1.3b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.9b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
18×frac-sub
14×tanh-def
11×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
10×distribute-rgt-in distribute-lft-in
9×*-un-lft-identity
7×add-cube-cbrt
6×sub-neg associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
2×flip3-- *-commutative flip--
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 92
Calls
4 calls:
1.0ms
(tanh (/ t y))
1.0ms
(tanh (/ x y))
24.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
39.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series532.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(tanh (/ t y))
82.0ms
(tanh (/ x y))
214.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
155.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
04701039
12128970
25002970

prune334.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(+ (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) x)
0.0b
(tanh (/ x y))
5.2b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
11×associate-*r/
9×pow1 add-exp-log frac-sub add-cbrt-cube
8×tanh-def
7×add-sqr-sqrt *-un-lft-identity
6×add-log-exp
5×add-cube-cbrt associate-*r*
4×distribute-rgt-in sub-neg associate-+l+ distribute-lft-in
3×pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 70
Calls
4 calls:
1.0ms
(tanh (/ t y))
18.0ms
(+ (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.0ms
(tanh (/ x y))
27.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series548.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(tanh (/ t y))
232.0ms
(+ (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) x)
79.0ms
(tanh (/ x y))
159.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify62.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0487768
12280718
25003718

prune262.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.0b

localize15.0ms

Local error

Found 4 expressions with local error:

5.2b
(* (* y z) (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y))))
8.6b
(cbrt (tanh (/ t y)))
8.6b
(cbrt (tanh (/ t y)))
8.6b
(cbrt (tanh (/ t y)))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
441×cbrt-div
243×frac-times
236×associate-*r/
210×tanh-def
189×frac-sub
81×associate-*l/
9×pow1 add-exp-log cbrt-prod add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in
1×flip3-- associate-*l* *-commutative flip--
Counts
4 → 255
Calls
4 calls:
197.0ms
(* (* y z) (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y))))
1.0ms
(cbrt (tanh (/ t y)))
1.0ms
(cbrt (tanh (/ t y)))
2.0ms
(cbrt (tanh (/ t y)))

series656.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (* y z) (- (* (* (cbrt (tanh (/ t y))) (cbrt (tanh (/ t y)))) (cbrt (tanh (/ t y)))) (tanh (/ x y))))
166.0ms
(cbrt (tanh (/ t y)))
163.0ms
(cbrt (tanh (/ t y)))
173.0ms
(cbrt (tanh (/ t y)))

simplify113.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
037219577
150039364

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.0b

regimes114.0ms

Accuracy

0% (4.5b remaining)

Error of 5.0b against oracle of 0.5b and baseline of 5.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample584.0ms

Algorithm
intervals
Results
333.0ms8310×body80valid
16.0ms106×body640valid
8.0ms34×body1280valid
6.0ms55×body320valid
3.0ms42×body160valid