Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

260×

body

valid

simplify54.0ms

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: 10.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(- (* t z) x)
0.2b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
13.8b	(/ (- (* y z) x) (- (* t z) x))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
24×	`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`
6×	`prod-diff`
4×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/`
3×	`div-sub`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`associate-+r-`

Counts

4 → 113

Calls

4 calls:

3.0ms	(- (* y z) x)
3.0ms	(- (* t z) x)
57.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
14.0ms	(/ (- (* y z) x) (- (* t z) x))

series227.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (* y z) x)
26.0ms	(- (* t z) x)
120.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
59.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify67.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	462	1042
1	2015	941
2	5001	941

prune327.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
3.0b	(fma (/ y (- (* t z) x)) z x)
4.9b	(/ y (- (* t z) x))
4.9b	(/ x (- (* t z) x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
15×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`associate-/l*`
7×	`associate-/r*`
6×	`associate-/r/`
5×	`div-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`flip3--` `associate-*l/` `prod-exp` `flip--`
1×	`flip3-+` `1-exp` `cbrt-unprod` `flip-+` `fma-udef`

Counts

4 → 98

Calls

4 calls:

5.0ms	(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
0.0ms	(fma (/ y (- (* t z) x)) z x)
5.0ms	(/ y (- (* t z) x))
6.0ms	(/ x (- (* t z) x))

series239.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
57.0ms	(fma (/ y (- (* t z) x)) z x)
29.0ms	(/ y (- (* t z) x))
62.0ms	(/ x (- (* t z) x))

simplify51.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	423	735
1	1590	652
2	5001	650

prune346.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

4.9b	(/ y (- (* t z) x))
4.9b	(/ y (- (* t z) x))
4.9b	(/ y (- (* t z) x))
4.9b	(/ x (- (* t z) x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
12×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
8×	`associate-/r/`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 124

Calls

4 calls:

6.0ms	(/ y (- (* t z) x))
5.0ms	(/ y (- (* t z) x))
5.0ms	(/ y (- (* t z) x))
8.0ms	(/ x (- (* t z) x))

series152.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ y (- (* t z) x))
29.0ms	(/ y (- (* t z) x))
33.0ms	(/ y (- (* t z) x))
60.0ms	(/ x (- (* t z) x))

simplify69.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	206	775
1	682	716
2	1975	716
3	5001	712

prune509.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.2b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
0.5b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
13.8b	(/ (- (* t z) x) (- (* y z) x))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
95×	`*-un-lft-identity`
68×	`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×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/`
3×	`frac-2neg` `prod-diff` `clear-num`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `div-sub` `inv-pow`

Counts

4 → 185

Calls

4 calls:

3.0ms	(- (* t z) x)
97.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
12.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
12.0ms	(/ (- (* t z) x) (- (* y z) x))

series325.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (* t z) x)
153.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
85.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
63.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify107.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	686	2096
1	3396	1893
2	5001	1810

prune418.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.2b

regimes134.0ms

Accuracy

40.1% (2.6b remaining)

Error of 2.9b against oracle of 0.3b and baseline of 4.7b

bsearch97.0ms

Steps

Iters	Range		Point
8	8.822127791424348e-78	6.881825326217822e-75	2.9755770486355057e-75
7	-2.1091723347038596e+37	-1.6020909591168013e+35	-1.6249857732141826e+35

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	22
1	40	22
2	40	22

end0.0ms

sample547.0ms

Algorithm

intervals

Results

328.0ms

8328×

body

valid