Details

sample27.0ms

Algorithm

intervals

Results

12.0ms	263×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	2×	body	320	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	54	8
1	141	8
2	325	8
3	964	8
4	3472	8
5	5002	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
0.1b	(- (tanh (/ t y)) (tanh (/ x y)))
3.9b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-sub`
14×	`tanh-def`
11×	`associate-*r/`
9×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`add-log-exp`
5×	`add-cube-cbrt` `associate-r`
3×	`sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

4 → 78

Calls

4 calls:

2.0ms	(tanh (/ t y))
2.0ms	(tanh (/ x y))
12.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
53.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series506.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(tanh (/ t y))
75.0ms	(tanh (/ x y))
208.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
150.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify66.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	512	1026
1	2370	971
2	5002	971

prune295.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.1b	(- (tanh (/ t y)) (tanh (/ x y)))
0.7b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.9b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/`
27×	`frac-sub`
19×	`tanh-def`
13×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
10×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-cube-cbrt` `sub-neg`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`flip3--` `flip--`
2×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

2.0ms	(tanh (/ x y))
12.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
44.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
77.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series643.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(tanh (/ x y))
210.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
204.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
152.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify68.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	553	1404
1	2407	1324
2	5001	1324

prune363.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.2b

localize17.0ms

Local error

Found 4 expressions with local error:

3.9b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
9.7b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
9.7b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
9.7b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

88×	`associate-*r/`
36×	`frac-sub`
33×	`cbrt-div`
24×	`tanh-def`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`distribute-rgt-in` `distribute-lft-in`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`sub-neg` `flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 97

Calls

4 calls:

75.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
52.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
52.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
54.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

146.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
350.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
363.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
360.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify61.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	565	1972
1	2015	1876
2	5003	1858

prune530.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.2b

localize24.0ms

Local error

Found 4 expressions with local error:

3.9b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
9.7b	(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
9.7b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
9.7b	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

99×	`associate-*r/`
36×	`frac-sub`
33×	`cbrt-div`
24×	`tanh-def`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`distribute-rgt-in` `distribute-lft-in`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`sub-neg` `flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 97

Calls

4 calls:

75.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
138.0ms	(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
51.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
53.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series1.3s

Counts

4 → 12

Calls

4 calls:

150.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
458.0ms	(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
352.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
350.0ms	(cbrt (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify73.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	690	2085
1	2523	1979
2	5001	1963

prune621.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.2b

regimes184.0ms

Accuracy

41.5% (0.6b remaining)

Error of 1.7b against oracle of 1.1b and baseline of 2.1b

bsearch100.0ms

Steps

Iters	Range		Point
10	4.78426270025405e-122	6.834045614424485e-112	1.1597346081003698e-120
10	-2.6688969501308382e+62	-9.366104350108347e+51	-9.467628902262625e+51

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	17
1	37	17
2	37	17

end0.0ms

sample647.0ms

Algorithm

intervals

Results

305.0ms	8327×	body	80	valid
19.0ms	95×	body	640	valid
8.0ms	42×	body	1280	valid
8.0ms	75×	body	320	valid
3.0ms	38×	body	160	valid