Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

sample14.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	9
1	24	9

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* x (+ 0.253 (* x 0.12))))
0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

2.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
2.0ms	(+ 0.253 (* x 0.12))
5.0ms	(* x (+ 0.253 (* x 0.12)))

series11.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
3.0ms	(+ 0.253 (* x 0.12))
5.0ms	(* x (+ 0.253 (* x 0.12)))

simplify38.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5072	524

prune69.0ms

Filtered

38 candidates to 55 candidates (-44.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0.0b

Counts

56 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

28×	`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*` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-*r/` `clear-num`

Counts

4 → 106

Calls

4 calls:

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

series25.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* x (/ (- (* 0.253 0.253) (* x (* x (* 0.12 0.12)))) (- 0.253 (* x 0.12))))
8.0ms	(/ (- (* 0.253 0.253) (* x (* x (* 0.12 0.12)))) (- 0.253 (* x 0.12)))
3.0ms	(* x (* x (* 0.12 0.12)))
2.0ms	(* x (* 0.12 0.12))

simplify35.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4993	1407
1	4993	1407

prune155.0ms

Filtered

80 candidates to 118 candidates (-47.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	117	5	122

Merged error: 0.0b

Counts

122 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (* 0.253 0.253) (* x (cbrt (* (pow x 3) (pow 0.12 6))))) (- 0.253 (* x 0.12)))
0.2b	(* x (cbrt (* (pow x 3) (pow 0.12 6))))
0.3b	(* (pow x 3) (pow 0.12 6))
33.1b	(cbrt (* (pow x 3) (pow 0.12 6)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
20×	`add-exp-log`
19×	`add-cube-cbrt` `*-un-lft-identity`
15×	`associate-l`
13×	`unpow-prod-down` `unswap-sqr`
11×	`associate-r`
10×	`prod-exp`
9×	`times-frac` `add-cbrt-cube` `sqr-pow`
6×	`pow1` `pow-to-exp` `cube-prod` `pow-exp`
4×	`add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`cbrt-prod` `flip3--` `associate-/r/` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `frac-2neg` `pow1/3` `unpow3` `div-sub` `div-exp` `pow-prod-down` `clear-num` `div-inv`

Counts

4 → 109

Calls

4 calls:

7.0ms	(/ (- (* 0.253 0.253) (* x (cbrt (* (pow x 3) (pow 0.12 6))))) (- 0.253 (* x 0.12)))
5.0ms	(* x (cbrt (* (pow x 3) (pow 0.12 6))))
7.0ms	(* (pow x 3) (pow 0.12 6))
4.0ms	(cbrt (* (pow x 3) (pow 0.12 6)))

series26.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ (- (* 0.253 0.253) (* x (cbrt (* (pow x 3) (pow 0.12 6))))) (- 0.253 (* x 0.12)))
6.0ms	(* x (cbrt (* (pow x 3) (pow 0.12 6))))
6.0ms	(* (pow x 3) (pow 0.12 6))
5.0ms	(cbrt (* (pow x 3) (pow 0.12 6)))

simplify63.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5299	1719

prune228.0ms

Filtered

79 candidates to 121 candidates (-53.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	121	5	126

Merged error: 0.0b

Counts

126 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x (* (+ 0.253 (* x 0.12)) (+ 0.253 (* x 0.12)))))
0.2b	(* (+ 0.253 (* x 0.12)) (+ 0.253 (* x 0.12)))
0.4b	(* x (* (+ 0.253 (* x 0.12)) (+ 0.253 (* x 0.12))))
8.7b	(/ (- (* 1.0 1.0) (* x (* x (* (+ 0.253 (* x 0.12)) (+ 0.253 (* x 0.12)))))) (+ (* x (+ 0.253 (* x 0.12))) 1.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

30×	`associate-*r/`
25×	`pow1`
22×	`add-exp-log` `add-cbrt-cube`
21×	`add-sqr-sqrt`
19×	`flip3-+` `flip-+`
18×	`add-cube-cbrt` `*-un-lft-identity`
17×	`distribute-rgt-in` `distribute-lft-in`
12×	`frac-times`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`times-frac` `associate-l`
6×	`associate-*l/`
5×	`associate-r`
4×	`add-log-exp`
3×	`swap-sqr` `associate-/r` `-commutative` `associate-/l*`
2×	`associate-/r/` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `pow2` `flip3--` `frac-2neg` `pow-plus` `div-sub` `div-exp` `clear-num` `pow-sqr` `pow-prod-up` `flip--` `div-inv`

Counts

4 → 135

Calls

4 calls:

11.0ms	(* x (* x (* (+ 0.253 (* x 0.12)) (+ 0.253 (* x 0.12)))))
7.0ms	(* (+ 0.253 (* x 0.12)) (+ 0.253 (* x 0.12)))
9.0ms	(* x (* (+ 0.253 (* x 0.12)) (+ 0.253 (* x 0.12))))
10.0ms	(/ (- (* 1.0 1.0) (* x (* x (* (+ 0.253 (* x 0.12)) (+ 0.253 (* x 0.12)))))) (+ (* x (+ 0.253 (* x 0.12))) 1.0))

series16.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* x (* x (* (+ 0.253 (* x 0.12)) (+ 0.253 (* x 0.12)))))
2.0ms	(* (+ 0.253 (* x 0.12)) (+ 0.253 (* x 0.12)))
3.0ms	(* x (* (+ 0.253 (* x 0.12)) (+ 0.253 (* x 0.12))))
7.0ms	(/ (- (* 1.0 1.0) (* x (* x (* (+ 0.253 (* x 0.12)) (+ 0.253 (* x 0.12)))))) (+ (* x (+ 0.253 (* x 0.12))) 1.0))

simplify71.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4976	2747
1	4976	2747

prune247.0ms

Filtered

94 candidates to 147 candidates (-56.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	147	5	152

Merged error: 0.0b

Counts

152 → 5

regimes97.0ms

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	9
1	11	9

end0.0ms

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

sample274.0ms

Algorithm

intervals

Results

191.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms

sample14.0ms

simplify3.0ms

prune2.0ms

localize6.0ms

rewrite11.0ms

series11.0ms

simplify38.0ms

prune69.0ms

localize14.0ms

rewrite32.0ms

series25.0ms

simplify35.0ms

prune155.0ms

localize17.0ms

rewrite26.0ms

series26.0ms

simplify63.0ms

prune228.0ms

localize12.0ms

rewrite42.0ms

series16.0ms

simplify71.0ms

prune247.0ms

regimes97.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample274.0ms

Profiling