Details

sample87.0ms

Algorithm

intervals

Results

19.0ms	295×	body	80	nan
16.0ms	157×	body	160	valid
16.0ms	551×	pre	80	true
8.0ms	51×	body	320	valid
3.0ms	48×	body	80	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	88	16
1	88	16

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 44.7b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* 3.0 (* a c)))
0.3b	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
0.3b	(* 3.0 (* a c))
39.5b	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
9×	`pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod`
3×	`flip3--` `associate-l` `pow-prod-down` `sqrt-prod` `flip--` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-r` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 75

Calls

4 calls:

5.0ms	(- (* b b) (* 3.0 (* a c)))
12.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
6.0ms	(* 3.0 (* a c))
8.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

series58.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* 3.0 (* a c)))
28.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
4.0ms	(* 3.0 (* a c))
16.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

simplify30.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5007	1209

prune136.0ms

Filtered

59 candidates to 87 candidates (-47.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	5	88

Merged error: 0.2b

Counts

88 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- 0 (* 3.0 (* a c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
0.3b	(* 3.0 (* a c))
0.3b	(* 3.0 (* a c))
0.4b	(/ (/ (- 0 (* 3.0 (* a c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

54×	`times-frac`
51×	`*-un-lft-identity`
31×	`add-sqr-sqrt` `add-cube-cbrt`
28×	`add-exp-log` `add-cbrt-cube`
21×	`associate-/l*`
14×	`pow1`
10×	`distribute-lft-out`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l` `pow-prod-down` `associate-/r/`
5×	`associate-/r*`
4×	`div-inv` `add-log-exp`
3×	`flip3-+` `div-sub` `distribute-frac-neg` `flip-+` `associate-/l/`
2×	`frac-2neg` `sub0-neg` `associate-r` `clear-num` `*-commutative`
1×	`flip3--` `flip--`

Counts

4 → 131

Calls

4 calls:

10.0ms	(/ (- 0 (* 3.0 (* a c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
5.0ms	(* 3.0 (* a c))
6.0ms	(* 3.0 (* a c))
14.0ms	(/ (/ (- 0 (* 3.0 (* a c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series123.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ (- 0 (* 3.0 (* a c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
4.0ms	(* 3.0 (* a c))
4.0ms	(* 3.0 (* a c))
51.0ms	(/ (/ (- 0 (* 3.0 (* a c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify34.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5247	2768

prune272.0ms

Filtered

97 candidates to 143 candidates (-47.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	136	7	143
Fresh	3	0	3
Picked	1	0	1
Done	1	0	1
Total	141	7	148

Merged error: 0b

Counts

148 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
0.1b	(- (* b b) (* 3.0 (* a c)))
0.1b	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
0.3b	(* 3.0 (* a c))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`add-log-exp`
5×	`distribute-lft-out`
4×	`associate-/r*`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `associate-r` `clear-num` `sum-log` `*-commutative` `flip--` `div-inv`

Counts

4 → 75

Calls

4 calls:

8.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
4.0ms	(- (* b b) (* 3.0 (* a c)))
8.0ms	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
6.0ms	(* 3.0 (* a c))

series80.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
9.0ms	(- (* b b) (* 3.0 (* a c)))
50.0ms	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
4.0ms	(* 3.0 (* a c))

simplify65.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4949	1193
1	4949	1193

prune146.0ms

Filtered

61 candidates to 87 candidates (-42.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Merged error: 0b

Counts

94 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* 3.0 (* a c)))
0.2b	(/ (/ (/ (* a (neg c)) 1) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) a)
0.3b	(/ (/ (* a (neg c)) 1) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
0.3b	(* 3.0 (* a c))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

305×	`times-frac`
194×	`*-un-lft-identity`
122×	`add-sqr-sqrt` `add-cube-cbrt`
44×	`add-exp-log`
41×	`associate-/l*`
36×	`distribute-lft-out`
32×	`add-cbrt-cube`
27×	`div-inv`
24×	`div-exp`
14×	`cbrt-undiv`
10×	`associate-/r/`
9×	`pow1`
7×	`prod-exp` `associate-/r*`
6×	`add-log-exp`
5×	`flip3-+` `distribute-frac-neg` `cbrt-unprod` `flip-+`
4×	`1-exp`
3×	`associate-l` `pow-prod-down`
2×	`frac-2neg` `clear-num` `distribute-rgt-neg-out` `associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `*-commutative` `flip--`

Counts

4 → 252

Calls

4 calls:

4.0ms	(- (* b b) (* 3.0 (* a c)))
23.0ms	(/ (/ (/ (* a (neg c)) 1) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) a)
13.0ms	(/ (/ (* a (neg c)) 1) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
6.0ms	(* 3.0 (* a c))

series123.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* b b) (* 3.0 (* a c)))
45.0ms	(/ (/ (/ (* a (neg c)) 1) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) a)
64.0ms	(/ (/ (* a (neg c)) 1) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
4.0ms	(* 3.0 (* a c))

simplify92.0ms

Algorithm

egg-herbie

Counts

264 → 264

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4978	6685
1	4978	6685

prune397.0ms

Filtered

167 candidates to 264 candidates (-58.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	264	0	264
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	264	5	269

Merged error: 0b

Counts

269 → 5

regimes165.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	15
1	26	15

end0.0ms

sample2.3s

Algorithm

intervals

Results

495.0ms	4824×	body	160	valid
483.0ms	16172×	pre	80	true
440.0ms	8172×	body	80	nan
214.0ms	1358×	body	320	valid
99.0ms	1818×	body	80	valid

Details

sample87.0ms

simplify3.0ms

prune8.0ms

localize14.0ms

rewrite32.0ms

series58.0ms

simplify30.0ms

prune136.0ms

localize14.0ms

rewrite40.0ms

series123.0ms

simplify34.0ms

prune272.0ms

localize12.0ms

rewrite29.0ms

series80.0ms

simplify65.0ms

prune146.0ms

localize15.0ms

rewrite60.0ms

series123.0ms

simplify92.0ms

prune397.0ms

regimes165.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

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