Details

sample85.0ms

Algorithm

intervals

Results

20.0ms	113×	body	320	valid
15.0ms	524×	pre	80	true
13.0ms	268×	body	80	nan
10.0ms	100×	body	160	valid
3.0ms	14×	body	640	valid
1.0ms	29×	body	80	valid

simplify180.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (178.0ms)

Iter	Nodes	Cost
0	1784	16
1	1784	16

prune7.0ms

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: 52.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* 3.0 (* a c)))
0.2b	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
0.3b	(* 3.0 (* a c))
25.9b	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

rewrite30.0ms

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:

4.0ms	(- (* b b) (* 3.0 (* a c)))
10.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
7.0ms	(* 3.0 (* a c))
7.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

series50.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* 3.0 (* a c)))
24.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
3.0ms	(* 3.0 (* a c))
14.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

simplify47.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5461	1207

prune117.0ms

Filtered

59 candidates to 87 candidates (-47.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	4	88

Merged error: 0.1b

Counts

88 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log` `add-cbrt-cube`
22×	`times-frac`
20×	`*-un-lft-identity`
19×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
14×	`pow1`
12×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`associate-/l*`
6×	`associate-l` `pow-prod-down` `associate-/r/` `distribute-rgt-neg-out`
5×	`associate-/r*`
4×	`div-inv` `distribute-lft-out` `add-log-exp`
3×	`flip3-+` `distribute-frac-neg` `flip-+`
2×	`frac-2neg` `associate-r` `clear-num` `*-commutative`
1×	`associate-/l/`

Counts

4 → 114

Calls

4 calls:

11.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
5.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a (neg c)))
14.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series101.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
3.0ms	(* 3.0 (* a c))
3.0ms	(* 3.0 (* a (neg c)))
44.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify54.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4983	1982
1	4983	1982

prune169.0ms

Filtered

76 candidates to 126 candidates (-65.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	120	6	126
Fresh	3	0	3
Picked	0	1	1
Done	0	0	0
Total	123	7	130

Merged error: 0b

Counts

130 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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:

7.0ms	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
4.0ms	(- (* b b) (* 3.0 (* a c)))
6.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
5.0ms	(* 3.0 (* a c))

series71.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
8.0ms	(- (* b b) (* 3.0 (* a c)))
16.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
3.0ms	(* 3.0 (* a c))

simplify62.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4925	1193
1	4925	1193

prune118.0ms

Filtered

61 candidates to 87 candidates (-42.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	88	6	94

Merged error: 0b

Counts

94 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
0.2b	(/ 1 (* a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))))
0.3b	(* 3.0 (* a c))
0.4b	(* (* a (neg c)) (/ 1 (* a (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-exp-log`
35×	`add-cbrt-cube`
33×	`prod-exp`
17×	`pow1`
15×	`cbrt-unprod`
12×	`div-exp`
11×	`*-un-lft-identity`
10×	`associate-r`
9×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`pow-prod-down`
6×	`cbrt-undiv` `rec-exp` `times-frac` `1-exp` `add-log-exp`
5×	`associate-*r/`
4×	`associate-l` `associate-/r/`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`pow-flip` `*-commutative` `div-inv`
1×	`+-commutative` `distribute-lft-neg-out` `frac-2neg` `clear-num` `associate-/r*` `sum-log` `un-div-inv` `distribute-rgt-neg-out` `distribute-lft-out` `inv-pow`

Counts

4 → 103

Calls

4 calls:

6.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
9.0ms	(/ 1 (* a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))))
5.0ms	(* 3.0 (* a c))
14.0ms	(* (* a (neg c)) (/ 1 (* a (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))))

series97.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
37.0ms	(/ 1 (* a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))))
3.0ms	(* 3.0 (* a c))
42.0ms	(* (* a (neg c)) (/ 1 (* a (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))))

simplify34.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5216	1480

prune111.0ms

Filtered

69 candidates to 115 candidates (-66.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	115	6	121

Merged error: 0b

Counts

121 → 6

regimes163.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	94	15
1	94	15

end0.0ms

sample2.4s

Algorithm

intervals

Results

539.0ms	3678×	body	320	valid
453.0ms	16094×	pre	80	true
394.0ms	8094×	body	80	nan
288.0ms	2902×	body	160	valid
94.0ms	480×	body	640	valid
51.0ms	940×	body	80	valid

Details

sample85.0ms

simplify180.0ms

prune7.0ms

localize10.0ms

rewrite30.0ms

series50.0ms

simplify47.0ms

prune117.0ms

localize14.0ms

rewrite39.0ms

series101.0ms

simplify54.0ms

prune169.0ms

localize11.0ms

rewrite24.0ms

series71.0ms

simplify62.0ms

prune118.0ms

localize13.0ms

rewrite37.0ms

series97.0ms

simplify34.0ms

prune111.0ms

regimes163.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.4s

Profiling