Details

sample28.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	8
1	42	8
2	50	8
3	50	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
16.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
3×	`flip3-+` `associate-r` `associate-l` `associate-/r` `flip-+` `associate-/l`
2×	`associate-*r/` `associate-/r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 68

Calls

3 calls:

35.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series203.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
61.0ms	(* x (+ 0.99229 (* x 0.04481)))
58.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	415	725
1	1735	685
2	5002	676

prune174.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.2b	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
16.9b	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac`
74×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
58×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`div-exp`
7×	`pow1` `flip3-+` `flip-+` `div-inv`
6×	`associate-/l*` `add-log-exp`
5×	`difference-of-squares`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*r/` `clear-num` `associate-/l/` `distribute-lft-out--`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `pow-flip` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 156

Calls

4 calls:

56.0ms	(- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)
9.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
11.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- (/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))) x)
64.0ms	(* x (+ 0.99229 (* x 0.04481)))
59.0ms	(/ 1 (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061))))
57.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (+ 2.30753 (* x 0.27061)))

simplify89.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	718	2127
1	3434	1881
2	5001	1875

prune312.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (- (+ (* 0.37920088514346545 x) 0.4333638132548656) (* 0.02505083423776644 (pow x 2)))) x)
0.0b	(- (+ (* 0.37920088514346545 x) 0.4333638132548656) (* 0.02505083423776644 (pow x 2)))
0.1b	(* 0.02505083423776644 (pow x 2))
0.2b	(/ 1 (- (+ (* 0.37920088514346545 x) 0.4333638132548656) (* 0.02505083423776644 (pow x 2))))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-exp-log`
11×	`times-frac` `add-log-exp`
8×	`associate-r` `add-cbrt-cube`
5×	`pow1`
4×	`unpow-prod-down` `unswap-sqr`
3×	`flip3--` `diff-log` `associate-l` `prod-exp` `associate-/r` `flip--` `associate-/l` `difference-of-squares`
2×	`sub-neg` `div-exp` `associate-/r/` `div-inv` `distribute-lft-out--` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `pow-exp` `associate--l+` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `inv-pow`

Counts

4 → 91

Calls

4 calls:

102.0ms	(- (/ 1 (- (+ (* 0.37920088514346545 x) 0.4333638132548656) (* 0.02505083423776644 (pow x 2)))) x)
19.0ms	(- (+ (* 0.37920088514346545 x) 0.4333638132548656) (* 0.02505083423776644 (pow x 2)))
5.0ms	(* 0.02505083423776644 (pow x 2))
22.0ms	(/ 1 (- (+ (* 0.37920088514346545 x) 0.4333638132548656) (* 0.02505083423776644 (pow x 2))))

series148.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (/ 1 (- (+ (* 0.37920088514346545 x) 0.4333638132548656) (* 0.02505083423776644 (pow x 2)))) x)
25.0ms	(- (+ (* 0.37920088514346545 x) 0.4333638132548656) (* 0.02505083423776644 (pow x 2)))
24.0ms	(* 0.02505083423776644 (pow x 2))
51.0ms	(/ 1 (- (+ (* 0.37920088514346545 x) 0.4333638132548656) (* 0.02505083423776644 (pow x 2))))

simplify52.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	381	811
1	1535	735
2	5001	726

prune196.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	9
1	24	9

end0.0ms

sample690.0ms

Algorithm

intervals

Results

592.0ms

8000×

body

valid