Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

270×

body

valid

simplify45.0ms

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: 8.7b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.2b	(/ (- (* y z) x) (- (* t z) x))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 73

Calls

2 calls:

125.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
27.0ms	(/ (- (* y z) x) (- (* t z) x))

series186.0ms

Counts

2 → 6

Calls

2 calls:

126.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
60.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify41.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	363	832
1	1306	776
2	5001	776

prune185.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)) 3)
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.2b	(/ (- (* y z) x) (- (* t z) x))
11.4b	(cbrt (pow (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)) 3))

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

144×	`*-un-lft-identity`
89×	`times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
50×	`cbrt-prod`
44×	`unpow-prod-down` `cube-prod`
42×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r` `associate-/l`
6×	`flip3-+` `flip-+` `div-inv`
5×	`pow1`
4×	`associate-/l/` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `div-sub` `div-exp`
2×	`cube-div` `cube-mult` `flip3--` `frac-2neg` `unpow3` `pow-exp` `clear-num` `flip--` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `associate-+r-` `cbrt-div` `pow-pow` `pow1/3` `rem-cbrt-cube`

Counts

4 → 197

Calls

4 calls:

80.0ms	(pow (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)) 3)
120.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
27.0ms	(/ (- (* y z) x) (- (* t z) x))
97.0ms	(cbrt (pow (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)) 3))

series920.0ms

Counts

4 → 12

Calls

4 calls:

595.0ms	(pow (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)) 3)
126.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
61.0ms	(/ (- (* y z) x) (- (* t z) x))
137.0ms	(cbrt (pow (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)) 3))

simplify80.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	646	2708
1	2896	2555
2	5001	2541

prune367.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.9b

localize17.0ms

Local error

Found 4 expressions with local error:

1.9b	(sqrt (/ (- (* y z) x) (- (* t z) x)))
1.9b	(sqrt (/ (- (* y z) x) (- (* t z) x)))
11.2b	(/ (- (* y z) x) (- (* t z) x))
11.2b	(/ (- (* y z) x) (- (* t z) x))

rewrite159.0ms

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:

36.0ms	(sqrt (/ (- (* y z) x) (- (* t z) x)))
37.0ms	(sqrt (/ (- (* y z) x) (- (* t z) x)))
52.0ms	(/ (- (* y z) x) (- (* t z) x))
27.0ms	(/ (- (* y z) x) (- (* t z) x))

series315.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (/ (- (* y z) x) (- (* t z) x)))
79.0ms	(sqrt (/ (- (* y z) x) (- (* t z) x)))
61.0ms	(/ (- (* y z) x) (- (* t z) x))
97.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify76.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 3 (66.0ms)

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

prune431.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ y t))
5.7b	(/ (+ x (/ y t)) (+ x 1.0))

rewrite54.0ms

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:

10.0ms	(+ x (/ y t))
42.0ms	(/ (+ x (/ y t)) (+ x 1.0))

series58.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ x (/ y t))
38.0ms	(/ (+ x (/ y t)) (+ x 1.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (8.0ms)

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

prune99.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.6b

regimes268.0ms

Accuracy

79.1% (3.8b remaining)

Error of 4.7b against oracle of 0.8b and baseline of 19.2b

bsearch2.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	77
1	51	77

end0.0ms

sample603.0ms

Algorithm

intervals

Results

308.0ms

8344×

body

valid