Details

sample15.0ms

Algorithm

intervals

Results

8.0ms

348×

body

valid

simplify31.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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))
6.0ms	(* x (+ 0.253 (* x 0.12)))

series109.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ 0.253 (* x 0.12))
77.0ms	(* x (+ 0.253 (* x 0.12)))

simplify121.0ms

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

prune67.0ms

Filtered

39 candidates to 27 candidates (69.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	6	40

Merged error: 0b

Counts

40 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
0.6b	(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b	(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b	(cbrt (* x (+ 0.253 (* x 0.12))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
4.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
4.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
4.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))

series573.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
137.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
136.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
128.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))

simplify52.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	474	1148
1	1827	1083
2	5001	902

prune222.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0b

Counts

90 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
0.3b	(* (* x 0.12) (* x 0.12))
0.4b	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
5.8b	(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

3.0ms	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
6.0ms	(* (* x 0.12) (* x 0.12))
6.0ms	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
8.0ms	(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

series361.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
24.0ms	(* (* x 0.12) (* x 0.12))
106.0ms	(* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
171.0ms	(/ (* x (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))) (- 0.253 (* x 0.12)))

simplify68.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	374	763
1	2062	631
2	5001	631

prune146.0ms

Filtered

109 candidates to 61 candidates (56.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	109	6	115

Merged error: 0b

Counts

115 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.064009 x) (* 0.0144 (pow x 3)))
0.0b	(- 0.253 (* x 0.12))
0.1b	(* 0.0144 (pow x 3))
5.7b	(/ (- (* 0.064009 x) (* 0.0144 (pow x 3))) (- 0.253 (* x 0.12)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r`
11×	`add-exp-log`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `unpow-prod-down` `flip3--` `cube-prod` `flip--` `unswap-sqr`
3×	`associate-l` `prod-exp` `associate-/r` `associate-/l`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `frac-2neg` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 87

Calls

4 calls:

7.0ms	(- (* 0.064009 x) (* 0.0144 (pow x 3)))
3.0ms	(- 0.253 (* x 0.12))
6.0ms	(* 0.0144 (pow x 3))
7.0ms	(/ (- (* 0.064009 x) (* 0.0144 (pow x 3))) (- 0.253 (* x 0.12)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(- (* 0.064009 x) (* 0.0144 (pow x 3)))
35.0ms	(- 0.253 (* x 0.12))
36.0ms	(* 0.0144 (pow x 3))
155.0ms	(/ (- (* 0.064009 x) (* 0.0144 (pow x 3))) (- 0.253 (* x 0.12)))

simplify56.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	372	669
1	1699	615
2	5002	611

prune202.0ms

Filtered

99 candidates to 68 candidates (68.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	99	6	105

Merged error: 0b

Counts

105 → 6

regimes63.0ms

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

sample375.0ms

Algorithm

intervals

Results

249.0ms

10744×

body

valid