Details

Time bar (total: 6.5s)

sample25.0ms

Algorithm
intervals
Results
11.0ms269×body80valid
1.0ms3×body1280valid
0.0ms3×body640valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0548
11418
23258
39648
434728
550028

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(tanh (/ t y))
0.0b
(- (tanh (/ t y)) (tanh (/ x y)))
0.0b
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.9b
(* (* 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:
1.0ms
(tanh (/ t y))
6.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
3.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
27.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.0s

Counts
4 → 12
Calls
4 calls:
80.0ms
(tanh (/ t y))
429.0ms
(- (tanh (/ t y)) (tanh (/ x y)))
349.0ms
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
158.0ms
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify79.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05841136
126581079
250011079

prune314.0ms

Filtered
95 candidates to 73 candidates (76.8%)
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))
0.0b
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.5b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.4b
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r/
18×distribute-rgt-in distribute-lft-in frac-sub
13×tanh-def
11×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
10×sub-neg
9×*-un-lft-identity
8×associate-+r+
7×add-cube-cbrt
6×associate-*r* associate-*l* add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 101
Calls
4 calls:
1.0ms
(tanh (/ t y))
4.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
22.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
40.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series815.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(tanh (/ t y))
348.0ms
(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
220.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
163.0ms
(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify69.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05441169
124201098
250011098

prune339.0ms

Filtered
113 candidates to 79 candidates (69.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(* z (- (tanh (/ t y)) (tanh (/ x y))))
0.6b
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
2.0b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
66×associate-*r/
34×distribute-rgt-in distribute-lft-in
32×pow1 add-exp-log
27×frac-sub
20×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
18×tanh-def
14×sub-neg
13×add-sqr-sqrt
11×*-un-lft-identity
10×associate-*l*
9×add-cube-cbrt
7×associate-*r*
6×cbrt-prod
4×add-log-exp
3×flip3-- *-commutative flip--
1×pow1/3 distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 141
Calls
4 calls:
0.0ms
(cbrt y)
21.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
40.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
97.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series957.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt y)
225.0ms
(* z (- (tanh (/ t y)) (tanh (/ x y))))
341.0ms
(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
194.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify95.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
06782084
131521715
250031651

prune465.0ms

Filtered
153 candidates to 90 candidates (58.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.4b
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite122.0ms

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)
117.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

series751.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt z)
184.0ms
(cbrt z)
186.0ms
(cbrt z)
192.0ms
(* y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (tanh (/ t y)) (tanh (/ x y))))))

simplify72.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06241168
12853879
25002847

prune273.0ms

Filtered
99 candidates to 62 candidates (62.6%)
Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (1.6b remaining)

Error of 2.0b against oracle of 0.4b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample595.0ms

Algorithm
intervals
Results
339.0ms8381×body80valid
18.0ms101×body640valid
9.0ms42×body1280valid
7.0ms56×body320valid
2.0ms24×body160valid