Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

266×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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: 9.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(- (* t z) x)
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.2b	(/ (- (* y z) x) (- (* t z) x))

rewrite41.0ms

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:

5.0ms	(- (* y z) x)
5.0ms	(- (* t z) x)
17.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.0ms	(/ (- (* y z) x) (- (* t z) x))

series256.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (* y z) x)
25.0ms	(- (* t z) x)
133.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
67.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify76.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (17.0ms)

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

prune377.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
2.5b	(/ y (- (* t z) x))
2.5b	(fma (/ y (- (* t z) x)) z x)
3.0b	(/ x (- (* t z) x))

rewrite24.0ms

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:

7.0ms	(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
6.0ms	(/ y (- (* t z) x))
1.0ms	(fma (/ y (- (* t z) x)) z x)
6.0ms	(/ x (- (* t z) x))

series264.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
31.0ms	(/ y (- (* t z) x))
63.0ms	(fma (/ y (- (* t z) x)) z x)
70.0ms	(/ x (- (* t z) x))

simplify58.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (48.0ms)

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

prune412.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (+ x 1.0) (fma (/ y (- (* t z) x)) z x))
2.5b	(/ y (- (* t z) x))
2.5b	(fma (/ y (- (* t z) x)) z x)
3.0b	(/ x (- (* t z) x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
30×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`associate-/r*`
4×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
2×	`flip3--` `flip--` `associate-/l/`
1×	`flip3-+` `flip-+` `fma-udef`

Counts

4 → 107

Calls

4 calls:

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

series245.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(/ (+ x 1.0) (fma (/ y (- (* t z) x)) z x))
32.0ms	(/ y (- (* t z) x))
66.0ms	(fma (/ y (- (* t z) x)) z x)
65.0ms	(/ x (- (* t z) x))

simplify52.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	358	835
1	1289	769
2	5001	769

prune443.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (/ 1 (+ x 1.0)) (fma (/ y (- (* t z) x)) z x))
2.5b	(/ y (- (* t z) x))
2.5b	(fma (/ y (- (* t z) x)) z x)
3.0b	(/ x (- (* t z) x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `*-un-lft-identity`
32×	`times-frac`
29×	`add-cube-cbrt`
18×	`associate-l`
17×	`add-exp-log`
13×	`add-cbrt-cube`
6×	`pow1` `associate-/r` `associate-/r/` `associate-/l`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-r` `fma-udef` `div-inv` `distribute-lft-out` `unswap-sqr`
2×	`flip3--` `frac-2neg` `clear-num` `flip--` `cbrt-unprod`
1×	`distribute-rgt-in` `rec-exp` `distribute-lft-in` `flip3-+` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `flip-+`

Counts

4 → 116

Calls

4 calls:

15.0ms	(* (/ 1 (+ x 1.0)) (fma (/ y (- (* t z) x)) z x))
6.0ms	(/ y (- (* t z) x))
1.0ms	(fma (/ y (- (* t z) x)) z x)
7.0ms	(/ x (- (* t z) x))

series258.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (/ 1 (+ x 1.0)) (fma (/ y (- (* t z) x)) z x))
31.0ms	(/ y (- (* t z) x))
65.0ms	(fma (/ y (- (* t z) x)) z x)
64.0ms	(/ x (- (* t z) x))

simplify69.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	468	900
1	1905	801
2	5002	791

prune446.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

regimes198.0ms

Accuracy

35.9% (2.9b remaining)

Error of 3.2b against oracle of 0.3b and baseline of 4.9b

bsearch86.0ms

Steps

Iters	Range		Point
3	3.325624108380948e+76	4.649576028066181e+76	4.5668290330858535e+76
9	-2.355035228211621e+66	-1.5442358469082974e+61	-6.308835771186266e+63

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	26
1	39	26

end0.0ms

sample581.0ms

Algorithm

intervals

Results

349.0ms

8339×

body

valid