Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

263×

body

valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	8
1	35	8
2	60	8
3	103	8
4	183	8
5	416	8
6	1194	8
7	5001	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(- (* y z) x)
0.9b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.6b	(/ (- (* y z) x) (- (* t z) x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

4.0ms	(- (* t z) x)
4.0ms	(- (* y z) x)
15.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series224.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- (* t z) x)
21.0ms	(- (* y z) x)
117.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
58.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify47.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	399	950
1	1413	884
2	5001	882

prune296.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.3b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
0.9b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
11.7b	(/ (- (* t z) x) (- (* y z) x))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
94×	`*-un-lft-identity`
67×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`associate-/r/` `add-cbrt-cube`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

4 → 173

Calls

4 calls:

4.0ms	(- (* y z) x)
11.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
23.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
13.0ms	(/ (- (* t z) x) (- (* y z) x))

series340.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (* y z) x)
89.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
167.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
59.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify74.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	623	2024
1	2865	1860
2	5001	1781

prune355.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ y t))
2.1b	(/ (+ x (/ y t)) (+ x 1.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`pow1` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

6.0ms	(+ x (/ y t))
10.0ms	(/ (+ x (/ y t)) (+ x 1.0))

series49.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ x (/ y t))
34.0ms	(/ (+ x (/ y t)) (+ x 1.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	227	373
1	693	348
2	2231	348
3	5002	348

prune118.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.7b

localize14.0ms

Local error

Found 4 expressions with local error:

3.4b	(sqrt (/ (- (* y z) x) (- (* t z) x)))
3.4b	(sqrt (/ (- (* y z) x) (- (* t z) x)))
11.6b	(/ (- (* y z) x) (- (* t z) x))
11.6b	(/ (- (* y z) x) (- (* t z) x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
38×	`times-frac`
34×	`add-cube-cbrt` `*-un-lft-identity`
30×	`sqrt-prod`
8×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
6×	`pow1` `flip3--` `associate-/r` `flip--` `associate-/l`
4×	`rem-sqrt-square` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num`

Counts

4 → 118

Calls

4 calls:

7.0ms	(sqrt (/ (- (* y z) x) (- (* t z) x)))
7.0ms	(sqrt (/ (- (* y z) x) (- (* t z) x)))
9.0ms	(/ (- (* y z) x) (- (* t z) x))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series264.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(sqrt (/ (- (* y z) x) (- (* t z) x)))
71.0ms	(sqrt (/ (- (* y z) x) (- (* t z) x)))
58.0ms	(/ (- (* y z) x) (- (* t z) x))
60.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify81.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	241	1152
1	759	1072
2	2854	1068
3	5001	1060

prune429.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 1.7b

regimes209.0ms

Accuracy

57.5% (2.9b remaining)

Error of 3.9b against oracle of 0.9b and baseline of 7.8b

bsearch94.0ms

Steps

Iters	Range		Point
9	2.6709615057091654e+53	1.8725758029205373e+58	1.15942617022607e+58
7	-1.9075566700968675e+73	-7.372830968500035e+71	-1.6086847956254996e+72

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	13
1	34	13

end0.0ms

sample547.0ms

Algorithm

intervals

Results

320.0ms

8351×

body

valid