Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

270×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	7
1	36	7
2	48	7
3	66	7
4	72	7
5	72	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(- (* b c) (* a d))
26.5b	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

2.0ms	(- (* b c) (* a d))
9.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (* b c) (* a d))
88.0ms	(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify102.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	251	464
1	938	427
2	3504	426
3	5001	426

prune155.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 26.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b c) (* a d))
17.3b	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
31.7b	(sqrt (+ (* c c) (* d d)))
31.7b	(sqrt (+ (* c c) (* d d)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `sqrt-div` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 86

Calls

4 calls:

2.0ms	(- (* b c) (* a d))
10.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
3.0ms	(sqrt (+ (* c c) (* d d)))
4.0ms	(sqrt (+ (* c c) (* d d)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* b c) (* a d))
113.0ms	(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
35.0ms	(sqrt (+ (* c c) (* d d)))
39.0ms	(sqrt (+ (* c c) (* d d)))

simplify100.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	304	910
1	990	857
2	3354	845
3	5001	845

prune292.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 23.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b c) (* a d))
17.3b	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
31.7b	(sqrt (+ (* c c) (* d d)))
31.7b	(sqrt (+ (* c c) (* d d)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `add-exp-log` `sqrt-div` `add-cbrt-cube` `associate-/l*` `add-log-exp`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

4 → 85

Calls

4 calls:

2.0ms	(- (* b c) (* a d))
10.0ms	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
4.0ms	(sqrt (+ (* c c) (* d d)))
3.0ms	(sqrt (+ (* c c) (* d d)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* b c) (* a d))
81.0ms	(/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))
36.0ms	(sqrt (+ (* c c) (* d d)))
39.0ms	(sqrt (+ (* c c) (* d d)))

simplify73.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	264	887
1	808	842
2	2357	837
3	5001	837

prune303.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 23.9b

localize16.0ms

Local error

Found 4 expressions with local error:

9.3b	(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
31.7b	(sqrt (+ (* c c) (* d d)))
31.7b	(sqrt (+ (* c c) (* d d)))
31.7b	(sqrt (+ (* c c) (* d d)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

45×	`sqrt-prod`
32×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
10×	`sqrt-div`
9×	`associate-/r*`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv`

Counts

4 → 101

Calls

4 calls:

11.0ms	(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
4.0ms	(sqrt (+ (* c c) (* d d)))
3.0ms	(sqrt (+ (* c c) (* d d)))
3.0ms	(sqrt (+ (* c c) (* d d)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
38.0ms	(sqrt (+ (* c c) (* d d)))
35.0ms	(sqrt (+ (* c c) (* d d)))
39.0ms	(sqrt (+ (* c c) (* d d)))

simplify88.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	328	1244
1	1033	1183
2	3129	1158
3	5001	1158

prune369.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 23.9b

regimes159.0ms

Accuracy

0% (2.9b remaining)

Error of 26.7b against oracle of 23.8b and baseline of 26.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms

sample487.0ms

Algorithm

intervals

Results

284.0ms

8480×

body

valid