Details

Time bar (total: 6.6s)

sample36.0ms

Algorithm
intervals
Results
22.0ms268×body80valid
1.0ms3×body640valid
0.0ms2×body320valid

simplify79.0ms

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: 2.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ x y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.7b
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite35.0ms

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:
1.0ms
(tanh (/ x y))
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
3.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
23.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series791.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(tanh (/ x y))
223.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
326.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
160.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify75.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
05921136
127181079
250011079

prune303.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

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))))))
0.3b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.1b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
27×frac-sub
18×distribute-rgt-in distribute-lft-in tanh-def
13×add-sqr-sqrt
11×pow1 add-exp-log sub-neg *-un-lft-identity add-cbrt-cube
8×associate-+r+ add-log-exp
7×add-cube-cbrt
6×associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
3×flip3-- flip--
2×*-commutative distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 114
Calls
4 calls:
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
4.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
20.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
39.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series919.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
326.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
218.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
155.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify74.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06281534
127121452
250011452

prune364.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.1b
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
24×distribute-rgt-in distribute-lft-in
22×pow1 add-exp-log
16×add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod frac-sub
8×add-sqr-sqrt add-cube-cbrt sub-neg *-un-lft-identity
6×tanh-def
4×add-log-exp
3×pow1/3 associate-*l*
1×flip3-- associate-*r* *-commutative flip--
Counts
4 → 87
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)
112.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

series716.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt z)
172.0ms
(cbrt z)
181.0ms
(cbrt z)
182.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

simplify74.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06241168
12853879
25002847

prune291.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.9b
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
2.5b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
55×associate-*r/
32×distribute-rgt-in distribute-lft-in
30×pow1 add-exp-log
18×pow-prod-down prod-exp frac-sub add-cbrt-cube cbrt-unprod
12×sub-neg tanh-def
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
4×add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 117
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt y)
39.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
94.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series866.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt y)
186.0ms
(cbrt y)
313.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
188.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify74.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06361699
127611353
250021287

prune339.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.2b

regimes213.0ms

Accuracy

0% (1.0b remaining)

Error of 2.0b against oracle of 1.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample960.0ms

Algorithm
intervals
Results
669.0ms8322×body80valid
27.0ms98×body640valid
16.0ms42×body1280valid
15.0ms61×body320valid
6.0ms43×body160valid