Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

333×

body

valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	4
1	41	4
2	69	4
3	90	4
4	105	4
5	147	4
6	226	4
7	368	4
8	415	4
9	415	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

2.0ms	(+ 0.253 (* x 0.12))
5.0ms	(* x (+ 0.253 (* x 0.12)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ 0.253 (* x 0.12))
62.0ms	(* x (+ 0.253 (* x 0.12)))

simplify111.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	166	173
1	767	154
2	4026	154
3	5002	154

prune73.0ms

Filtered

39 candidates to 27 candidates (69.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	7	40

Merged error: 0.0b

Counts

40 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
0.1b	(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
0.2b	(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
0.3b	(* (* x 0.12) (* x 0.12))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
27×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity`
19×	`associate-r`
18×	`pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
8×	`difference-of-squares`
6×	`add-log-exp`
4×	`flip3--` `associate-l` `associate-/r/` `pow-sqr` `pow-prod-up` `flip--` `associate-/l*`
3×	`associate-/r*`
2×	`cbrt-undiv` `pow-plus` `div-exp` `*-commutative` `div-inv` `associate-/l/` `unswap-sqr`
1×	`pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-*r/` `swap-sqr` `clear-num`

Counts

4 → 120

Calls

4 calls:

3.0ms	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
9.0ms	(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
11.0ms	(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
6.0ms	(* (* x 0.12) (* x 0.12))

series361.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
161.0ms	(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
118.0ms	(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
23.0ms	(* (* x 0.12) (* x 0.12))

simplify87.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	440	1115
1	2474	934
2	5002	879

prune245.0ms

Filtered

132 candidates to 85 candidates (64.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	133	6	139

Merged error: 0b

Counts

139 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12))))
0.1b	(* x (* 0.12 (* x 0.12)))
0.2b	(/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12)))
0.2b	(* 0.12 (* x 0.12))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`pow1`
19×	`times-frac`
17×	`associate-r`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
9×	`associate-l`
4×	`associate-/r/` `add-log-exp`
3×	`flip3--` `associate-/r` `-commutative` `flip--` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-*r/` `clear-num`

Counts

4 → 105

Calls

4 calls:

9.0ms	(* x (/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12))))
6.0ms	(* x (* 0.12 (* x 0.12)))
7.0ms	(/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12)))
5.0ms	(* 0.12 (* x 0.12))

series319.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* x (/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12))))
23.0ms	(* x (* 0.12 (* x 0.12)))
118.0ms	(/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12)))
14.0ms	(* 0.12 (* x 0.12))

simplify74.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	421	1047
1	2255	888
2	5001	888

prune342.0ms

Filtered

117 candidates to 79 candidates (67.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	117	6	123

Merged error: 0b

Counts

123 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x (/ (+ 0.253 (* x 0.12)) (* (cbrt (- 0.253 (* x 0.12))) (cbrt (- 0.253 (* x 0.12)))))) (/ (- 0.253 (* x 0.12)) (cbrt (- 0.253 (* x 0.12)))))
0.8b	(cbrt (- 0.253 (* x 0.12)))
0.8b	(cbrt (- 0.253 (* x 0.12)))
0.8b	(cbrt (- 0.253 (* x 0.12)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log`
28×	`add-cbrt-cube`
24×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac`
16×	`prod-exp` `cbrt-unprod`
9×	`pow1`
8×	`cbrt-undiv` `cbrt-div` `div-exp`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-*r/` `pow-prod-down`
2×	`associate-/r/`
1×	`frac-times` `associate-l` `associate-l/` `-commutative` `div-inv`

Counts

4 → 93

Calls

4 calls:

24.0ms	(* (* x (/ (+ 0.253 (* x 0.12)) (* (cbrt (- 0.253 (* x 0.12))) (cbrt (- 0.253 (* x 0.12)))))) (/ (- 0.253 (* x 0.12)) (cbrt (- 0.253 (* x 0.12)))))
3.0ms	(cbrt (- 0.253 (* x 0.12)))
2.0ms	(cbrt (- 0.253 (* x 0.12)))
2.0ms	(cbrt (- 0.253 (* x 0.12)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* x (/ (+ 0.253 (* x 0.12)) (* (cbrt (- 0.253 (* x 0.12))) (cbrt (- 0.253 (* x 0.12)))))) (/ (- 0.253 (* x 0.12)) (cbrt (- 0.253 (* x 0.12)))))
120.0ms	(cbrt (- 0.253 (* x 0.12)))
126.0ms	(cbrt (- 0.253 (* x 0.12)))
123.0ms	(cbrt (- 0.253 (* x 0.12)))

simplify90.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	652	1845
1	3417	1552
2	5001	1509

prune281.0ms

Filtered

105 candidates to 80 candidates (76.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	105	6	111

Merged error: 0b

Counts

111 → 6

regimes23.0ms

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	14	10
1	14	10

end0.0ms

sample302.0ms

Algorithm

intervals

Results

192.0ms

10580×

body

valid