Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

270×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	8
1	39	8
2	64	8
3	115	8
4	207	8
5	465	8
6	1337	8
7	5001	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.2b	(/ (- (* y z) x) (- (* t z) x))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
7×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
5×	`add-log-exp`
4×	`associate-/r/` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `flip3--` `div-sub` `prod-diff` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`associate-+r-` `sub-neg` `fma-neg` `diff-log`

Counts

3 → 95

Calls

3 calls:

3.0ms	(- (* t z) x)
58.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.0ms	(/ (- (* y z) x) (- (* t z) x))

series227.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- (* t z) x)
133.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
67.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify75.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	433	951
1	1923	872
2	5001	872

prune319.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ x (- (* t z) x)) (+ x 1.0))
1.3b	(fma (/ y (- (* t z) x)) z x)
2.7b	(/ y (- (* t z) x))
3.5b	(/ x (- (* t z) x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

123×	`times-frac`
103×	`*-un-lft-identity`
71×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-/l*`
16×	`associate-/r/` `distribute-lft-out`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*`
8×	`div-inv`
7×	`flip3--` `flip--`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`flip3-+` `flip-+` `fma-udef` `associate-/l/`

Counts

4 → 170

Calls

4 calls:

16.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
0.0ms	(fma (/ y (- (* t z) x)) z x)
6.0ms	(/ y (- (* t z) x))
6.0ms	(/ x (- (* t z) x))

series275.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
63.0ms	(fma (/ y (- (* t z) x)) z x)
31.0ms	(/ y (- (* t z) x))
70.0ms	(/ x (- (* t z) x))

simplify79.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	582	1552
1	2287	1475
2	5001	1475

prune640.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)))
8.2b	(/ (- (* y z) x) (- (* t z) x))
8.2b	(/ (- (* y z) x) (- (* t z) x))
8.2b	(/ (- (* y z) x) (- (* t z) x))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
43×	`times-frac`
37×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/` `distribute-lft-out`
6×	`flip3--` `flip--` `associate-/l/`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num`
1×	`cbrt-div` `flip3-+` `pow1/3` `flip-+`

Counts

4 → 135

Calls

4 calls:

20.0ms	(cbrt (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)))
11.0ms	(/ (- (* y z) x) (- (* t z) x))
11.0ms	(/ (- (* y z) x) (- (* t z) x))
12.0ms	(/ (- (* y z) x) (- (* t z) x))

series485.0ms

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)))
65.0ms	(/ (- (* y z) x) (- (* t z) x))
60.0ms	(/ (- (* y z) x) (- (* t z) x))
67.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify168.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 3 (152.0ms)

Iter	Nodes	Cost
0	353	1473
1	1104	1379
2	4791	1367
3	5001	1361

prune631.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ y t))
2.4b	(/ (+ x (/ y t)) (+ x 1.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
16×	`times-frac`
13×	`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×	`fma-def` `flip3-+` `flip-+`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 59

Calls

2 calls:

6.0ms	(+ x (/ y t))
22.0ms	(/ (+ x (/ y t)) (+ x 1.0))

series62.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ x (/ y t))
43.0ms	(/ (+ x (/ y t)) (+ x 1.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	236	389
1	734	363
2	2427	362
3	5002	361

prune145.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes177.0ms

Accuracy

0% (4.4b remaining)

Error of 4.7b against oracle of 0.3b and baseline of 4.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	13
1	23	13
2	23	13

end0.0ms

sample551.0ms

Algorithm

intervals

Results

332.0ms

8336×

body

valid