Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	17	4
2	19	4
3	21	4
4	22	4
5	22	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.2b	(* (/ 841.0 108.0) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

16.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
15.0ms	(* (/ 841.0 108.0) x)

series52.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
15.0ms	(* (/ 841.0 108.0) x)

simplify82.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	241	217
1	828	198
2	3241	196
3	5001	196

prune108.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
0.3b	(* 841.0 (/ x 108.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

15.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
15.0ms	(* 841.0 (/ x 108.0))

series52.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
15.0ms	(* 841.0 (/ x 108.0))

simplify112.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	254	222
1	1015	203
2	4300	202
3	5002	202

prune103.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
0.2b	(/ x (sqrt 108.0))
0.3b	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
66×	`times-frac`
44×	`add-cube-cbrt` `*-un-lft-identity`
36×	`sqrt-prod`
22×	`associate-r` `associate-l`
17×	`add-exp-log` `add-cbrt-cube`
9×	`unswap-sqr`
6×	`associate-/r*`
5×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`frac-add` `div-inv` `associate-/l*`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `*-commutative` `flip-+`

Counts

3 → 126

Calls

3 calls:

22.0ms	(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
9.0ms	(/ x (sqrt 108.0))
36.0ms	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

series314.0ms

Counts

3 → 9

Calls

3 calls:

153.0ms	(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
58.0ms	(/ x (sqrt 108.0))
103.0ms	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	502	969
1	2184	891
2	5002	841

prune276.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* 841.0 (/ x (sqrt 108.0))) (/ 1 (sqrt 108.0))) (/ 4.0 29.0))
0.2b	(/ x (sqrt 108.0))
0.2b	(* 841.0 (/ x (sqrt 108.0)))
0.3b	(* (* 841.0 (/ x (sqrt 108.0))) (/ 1 (sqrt 108.0)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

56×	`times-frac`
54×	`add-sqr-sqrt`
50×	`add-exp-log`
46×	`add-cube-cbrt` `*-un-lft-identity`
44×	`associate-r`
32×	`add-cbrt-cube`
31×	`sqrt-prod`
22×	`prod-exp`
12×	`div-exp` `cbrt-unprod`
11×	`pow1`
7×	`cbrt-undiv` `associate-*r/`
6×	`associate-/r*` `add-log-exp`
4×	`associate-l` `pow-prod-down` `frac-add`
3×	`rec-exp` `1-exp` `div-inv` `associate-/l*` `unswap-sqr`
2×	`frac-times` `associate-l/` `un-div-inv` `-commutative`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+`

Counts

4 → 151

Calls

4 calls:

45.0ms	(+ (* (* 841.0 (/ x (sqrt 108.0))) (/ 1 (sqrt 108.0))) (/ 4.0 29.0))
6.0ms	(/ x (sqrt 108.0))
22.0ms	(* 841.0 (/ x (sqrt 108.0)))
47.0ms	(* (* 841.0 (/ x (sqrt 108.0))) (/ 1 (sqrt 108.0)))

series379.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(+ (* (* 841.0 (/ x (sqrt 108.0))) (/ 1 (sqrt 108.0))) (/ 4.0 29.0))
54.0ms	(/ x (sqrt 108.0))
65.0ms	(* 841.0 (/ x (sqrt 108.0)))
109.0ms	(* (* 841.0 (/ x (sqrt 108.0))) (/ 1 (sqrt 108.0)))

simplify91.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	608	1074
1	3653	909
2	5002	821

prune289.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample279.0ms

Algorithm

intervals

Results

164.0ms	8002×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	3×	body	640	valid