Details

sample19.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5095	19

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
0.0b	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
14.6b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
10×	`add-exp-log` `times-frac` `add-cbrt-cube`
9×	`associate-r`
8×	`pow1`
6×	`associate-l` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
3×	`associate-/r` `associate-/l`
2×	`sub-neg` `associate-+r+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 93

Calls

4 calls:

3.0ms	(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
12.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series21.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
8.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
6.0ms	(* x (+ 0.99229 (* x 0.04481)))
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify41.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5006	1740

prune158.0ms

Filtered

76 candidates to 105 candidates (-38.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	4	106

Merged error: 0b

Counts

106 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) (sqrt 0.70711))
0.2b	(* (sqrt 0.70711) (* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) (sqrt 0.70711)))
14.6b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

5.0ms	(* x (+ 0.99229 (* x 0.04481)))
14.0ms	(* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) (sqrt 0.70711))
15.0ms	(* (sqrt 0.70711) (* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) (sqrt 0.70711)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series33.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* x (+ 0.99229 (* x 0.04481)))
11.0ms	(* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) (sqrt 0.70711))
11.0ms	(* (sqrt 0.70711) (* (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) (sqrt 0.70711)))
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4978	2175
1	4978	2175

prune205.0ms

Filtered

84 candidates to 115 candidates (-36.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	115	4	119

Merged error: 0b

Counts

119 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (cbrt (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (cbrt (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
14.6b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.6b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.6b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
32×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
14×	`associate-*r/`
12×	`add-exp-log` `cbrt-div`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`associate-/r` `associate-/l`
6×	`flip3--` `flip3-+` `pow1/3` `associate-/r/` `flip--` `flip-+` `associate-/l/`
4×	`cbrt-prod` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 132

Calls

4 calls:

11.0ms	(* (cbrt (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (cbrt (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
10.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (cbrt (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (cbrt (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
8.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
8.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
8.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify88.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4892	3642
1	4892	3642

prune620.0ms

Filtered

111 candidates to 144 candidates (-29.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	144	4	148

Merged error: 0b

Counts

148 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 2.30753 (* x 0.27061)))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
2.6b	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (sqrt (+ 2.30753 (* x 0.27061))))
5.2b	(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (sqrt (+ 2.30753 (* x 0.27061)))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
166×	`add-sqr-sqrt`
163×	`add-cube-cbrt` `*-un-lft-identity`
153×	`sqrt-prod`
30×	`associate-/r*`
20×	`sqrt-div`
17×	`associate-/r/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`div-inv` `associate-/l*`
7×	`pow1`
4×	`cbrt-undiv` `div-exp` `associate-/l/` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`frac-2neg` `associate-*r/` `clear-num`
1×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 271

Calls

4 calls:

2.0ms	(sqrt (+ 2.30753 (* x 0.27061)))
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
7.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (sqrt (+ 2.30753 (* x 0.27061))))
14.0ms	(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (sqrt (+ 2.30753 (* x 0.27061)))))

series23.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (+ 2.30753 (* x 0.27061)))
6.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (sqrt (+ 2.30753 (* x 0.27061))))
5.0ms	(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (sqrt (+ 2.30753 (* x 0.27061)))))

simplify81.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5345	8928

prune605.0ms

Filtered

157 candidates to 283 candidates (-80.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	283	0	283
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	283	4	287

Merged error: 0b

Counts

287 → 4

regimes106.0ms

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	23	19
1	23	19

end0.0ms

sample507.0ms

Algorithm

intervals

Results

372.0ms

8000×

body

valid

Details

sample19.0ms

simplify53.0ms

prune2.0ms

localize15.0ms

rewrite28.0ms

series21.0ms

simplify41.0ms

prune158.0ms

localize13.0ms

rewrite42.0ms

series33.0ms

simplify54.0ms

prune205.0ms

localize17.0ms

rewrite43.0ms

series56.0ms

simplify88.0ms

prune620.0ms

localize13.0ms

rewrite43.0ms

series23.0ms

simplify81.0ms

prune605.0ms

regimes106.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample507.0ms

Profiling