Details

Time bar (total: 5.8s)

sample47.0ms

Algorithm
intervals
Results
22.0ms754×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32284
44114
57864
624694
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.8b
(/ (* (cosh x) (/ y x)) z)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/
2×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 64
Calls
2 calls:
14.0ms
(* (cosh x) (/ y x))
15.0ms
(/ (* (cosh x) (/ y x)) z)

series196.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (cosh x) (/ y x))
116.0ms
(/ (* (cosh x) (/ y x)) z)

simplify42.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0352391
11472333
25001333

prune161.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.2b
(* (* (cosh x) y) (/ 1 x))
6.8b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
35×add-cbrt-cube
25×prod-exp
17×div-exp
16×add-sqr-sqrt associate-*r*
14×add-cube-cbrt *-un-lft-identity
13×cbrt-unprod
12×times-frac
10×pow1
9×cbrt-undiv
7×associate-*l/
5×cosh-def
4×rec-exp 1-exp associate-*l* pow-prod-down associate-/l/
3×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
2×frac-times associate-*r/ un-div-inv *-commutative div-inv
1×frac-2neg clear-num associate-/l* unswap-sqr
Counts
3 → 100
Calls
3 calls:
8.0ms
(* (cosh x) y)
26.0ms
(* (* (cosh x) y) (/ 1 x))
29.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series407.0ms

Counts
3 → 9
Calls
3 calls:
211.0ms
(* (cosh x) y)
76.0ms
(* (* (cosh x) y) (/ 1 x))
120.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify68.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0532637
12730501
25002485

prune215.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.9b
(* (/ (* (cosh x) y) (* (cbrt z) (cbrt z))) (/ (/ 1 x) (cbrt z)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
143×times-frac
119×add-exp-log
99×add-sqr-sqrt
82×associate-*r*
79×*-un-lft-identity
77×add-cube-cbrt
51×cbrt-prod add-cbrt-cube
50×div-exp
45×prod-exp
27×cbrt-undiv cbrt-unprod
8×div-inv
7×unswap-sqr
6×pow1
5×rec-exp 1-exp associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 187
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
78.0ms
(* (/ (* (cosh x) y) (* (cbrt z) (cbrt z))) (/ (/ 1 x) (cbrt z)))

series699.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt z)
191.0ms
(cbrt z)
183.0ms
(cbrt z)
140.0ms
(* (/ (* (cosh x) y) (* (cbrt z) (cbrt z))) (/ (/ 1 x) (cbrt z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
011592216
150011811

prune554.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.9b
(* (/ (cosh x) (cbrt z)) (* (/ y (cbrt z)) (/ (/ 1 x) (cbrt z))))
4.2b
(* (/ y (cbrt z)) (/ (/ 1 x) (cbrt z)))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
212×times-frac
181×add-sqr-sqrt
144×add-exp-log
107×*-un-lft-identity
101×add-cube-cbrt
83×associate-*r*
79×cbrt-prod
62×div-exp add-cbrt-cube
52×prod-exp
44×associate-*l*
34×cbrt-undiv
32×cbrt-unprod
21×unswap-sqr
11×pow1
9×div-inv
6×frac-times rec-exp 1-exp associate-*r/
4×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
2×pow1/3 *-commutative
Counts
4 → 259
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
73.0ms
(* (/ (cosh x) (cbrt z)) (* (/ y (cbrt z)) (/ (/ 1 x) (cbrt z))))
70.0ms
(* (/ y (cbrt z)) (/ (/ 1 x) (cbrt z)))

series674.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt z)
189.0ms
(cbrt z)
164.0ms
(* (/ (cosh x) (cbrt z)) (* (/ y (cbrt z)) (/ (/ 1 x) (cbrt z))))
135.0ms
(* (/ y (cbrt z)) (/ (/ 1 x) (cbrt z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
014272676
150012328

prune738.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes157.0ms

Accuracy

95% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.5b

bsearch73.0ms

Steps
ItersRangePoint
8
0.3420744994426792
6031.575547282502
60.43938048611113
6
-440562903.10977197
-29667794.37435912
-261095818.64175868

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02514
12514

end0.0ms

sample1.2s

Algorithm
intervals
Results
571.0ms22179×body80valid