Details

sample291.0ms

Algorithm

intervals

Results

28.0ms

508×

body

valid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	51	14
1	155	14
2	667	14
3	3125	14
4	5002	14

prune5.0ms

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: 9.8b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

4.0b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.6b	(* (* (* w w) r) r)
5.2b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
8.6b	(* (* w w) r)

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

1034×	`add-sqr-sqrt`
526×	`associate-l`
488×	`unswap-sqr`
421×	`associate-r`
385×	`times-frac`
370×	`*-un-lft-identity`
186×	`add-cube-cbrt`
92×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
77×	`associate-/l*`
71×	`*-commutative`
58×	`swap-sqr`
57×	`prod-exp` `cbrt-unprod`
50×	`pow1`
33×	`pow-prod-down`
9×	`cbrt-undiv` `div-exp`
5×	`associate-/r*`
4×	`associate-r/` `associate-l/` `add-log-exp`
3×	`flip3--` `flip--`
2×	`associate-/r/` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

4 → 696

Calls

4 calls:

38.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
18.0ms	(* (* (* w w) r) r)
59.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
25.0ms	(* (* w w) r)

series214.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
33.0ms	(* (* (* w w) r) r)
77.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
25.0ms	(* (* w w) r)

simplify135.0ms

Algorithm

egg-herbie

Counts

708 → 708

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	2498	9154
1	5002	8721

prune1.8s

Filtered

708 candidates to 398 candidates (56.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	698	10	708
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	699	10	709

Merged error: 0.1b

Counts

709 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ 2.0 (* r r))
4.3b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
4.6b	(* (* (* w w) r) r)
8.6b	(* (* w w) r)

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

629×	`add-sqr-sqrt`
470×	`associate-l`
322×	`associate-r`
273×	`*-un-lft-identity`
269×	`times-frac`
232×	`unswap-sqr`
175×	`add-cube-cbrt`
152×	`associate-*r/`
133×	`associate-/l*`
100×	`frac-times`
68×	`add-exp-log` `add-cbrt-cube`
63×	`swap-sqr`
56×	`*-commutative`
52×	`flip3--` `flip--`
47×	`distribute-lft-out--` `difference-of-squares`
37×	`prod-exp` `cbrt-unprod`
30×	`associate-/r*`
23×	`pow1`
12×	`pow-prod-down`
10×	`cbrt-undiv` `div-exp`
5×	`clear-num` `un-div-inv`
4×	`frac-2neg` `add-log-exp`
2×	`associate-*l/` `associate-/r/` `div-inv`

Counts

4 → 603

Calls

4 calls:

8.0ms	(/ 2.0 (* r r))
109.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
14.0ms	(* (* (* w w) r) r)
8.0ms	(* (* w w) r)

series147.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 2.0 (* r r))
72.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
30.0ms	(* (* (* w w) r) r)
17.0ms	(* (* w w) r)

simplify109.0ms

Algorithm

egg-herbie

Counts

615 → 615

Iterations

Useful iterations: 1 (52.0ms)

Iter	Nodes	Cost
0	2933	5829
1	5002	5703

prune1.7s

Filtered

615 candidates to 355 candidates (57.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	605	10	615
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	612	13	625

Merged error: 0.0b

Counts

625 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (* (fabs w) r) (* (fabs w) r)) (- 1.0 v))
0.3b	(* (* (fabs w) r) (* (fabs w) r))
0.8b	(/ 2.0 (* r r))
4.3b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (fabs w) r) (* (fabs w) r)) (- 1.0 v)))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

935×	`add-sqr-sqrt`
620×	`associate-r`
599×	`*-un-lft-identity`
533×	`times-frac`
425×	`associate-l`
336×	`add-cube-cbrt`
236×	`unswap-sqr`
226×	`swap-sqr`
194×	`associate-/l*`
167×	`associate-*r/`
110×	`frac-times`
100×	`distribute-lft-out--` `difference-of-squares`
95×	`add-exp-log` `add-cbrt-cube`
83×	`*-commutative`
58×	`flip3--` `flip--`
51×	`prod-exp` `cbrt-unprod`
48×	`pow1`
35×	`associate-/r*`
20×	`pow-prod-down`
17×	`cbrt-undiv` `div-exp`
6×	`clear-num`
5×	`frac-2neg`
4×	`associate-/r/` `pow-sqr` `un-div-inv` `pow-prod-up` `add-log-exp`
3×	`div-inv`
2×	`pow-plus` `associate-*l/`
1×	`pow2`

Counts

4 → 941

Calls

4 calls:

26.0ms	(/ (* (* (fabs w) r) (* (fabs w) r)) (- 1.0 v))
13.0ms	(* (* (fabs w) r) (* (fabs w) r))
11.0ms	(/ 2.0 (* r r))
120.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (fabs w) r) (* (fabs w) r)) (- 1.0 v)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (* (* (fabs w) r) (* (fabs w) r)) (- 1.0 v))
37.0ms	(* (* (fabs w) r) (* (fabs w) r))
24.0ms	(/ 2.0 (* r r))
83.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (fabs w) r) (* (fabs w) r)) (- 1.0 v)))

simplify180.0ms

Algorithm

egg-herbie

Counts

953 → 953

Iterations

Useful iterations: 1 (66.0ms)

Iter	Nodes	Cost
0	3578	11091
1	5002	10829

prune2.7s

Filtered

953 candidates to 536 candidates (56.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	947	6	953
Fresh	8	4	12
Picked	1	0	1
Done	0	0	0
Total	956	10	966

Merged error: 0.0b

Counts

966 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (* (fabs w) r) (* (fabs w) r)) (- 1.0 v))
0.2b	(/ (/ 2.0 r) r)
0.3b	(* (* (fabs w) r) (* (fabs w) r))
4.3b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (fabs w) r) (* (fabs w) r)) (- 1.0 v)))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

935×	`add-sqr-sqrt`
608×	`associate-r`
607×	`*-un-lft-identity`
563×	`times-frac`
413×	`associate-l`
344×	`add-cube-cbrt`
232×	`unswap-sqr`
214×	`swap-sqr`
207×	`associate-/l*`
167×	`associate-*r/`
110×	`frac-times`
100×	`distribute-lft-out--` `difference-of-squares`
95×	`add-exp-log` `add-cbrt-cube`
79×	`*-commutative`
58×	`flip3--` `flip--`
50×	`prod-exp` `cbrt-unprod`
48×	`pow1`
26×	`associate-/r*`
20×	`pow-prod-down`
18×	`cbrt-undiv` `div-exp`
9×	`associate-/l/`
7×	`clear-num` `div-inv`
6×	`frac-2neg`
4×	`associate-/r/` `pow-sqr` `un-div-inv` `pow-prod-up` `add-log-exp`
2×	`pow-plus` `associate-*l/`
1×	`pow2`

Counts

4 → 942

Calls

4 calls:

29.0ms	(/ (* (* (fabs w) r) (* (fabs w) r)) (- 1.0 v))
7.0ms	(/ (/ 2.0 r) r)
13.0ms	(* (* (fabs w) r) (* (fabs w) r))
118.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (fabs w) r) (* (fabs w) r)) (- 1.0 v)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (* (* (fabs w) r) (* (fabs w) r)) (- 1.0 v))
23.0ms	(/ (/ 2.0 r) r)
30.0ms	(* (* (fabs w) r) (* (fabs w) r))
78.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (fabs w) r) (* (fabs w) r)) (- 1.0 v)))

simplify166.0ms

Algorithm

egg-herbie

Counts

954 → 954

Iterations

Useful iterations: 1 (62.0ms)

Iter	Nodes	Cost
0	3638	11139
1	5002	10892

prune2.8s

Filtered

954 candidates to 549 candidates (57.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	948	6	954
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	955	9	964

Merged error: 0.0b

Counts

964 → 9

regimes177.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	16
1	26	16

end0.0ms

sample1.3s

Algorithm

intervals

Results

926.0ms

17028×

body

valid