Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

262×

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: 6.1b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

3.0ms	(- (* y z) x)
20.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
57.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.0ms	(/ (- (* y z) x) (- (* t z) x))

series300.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* y z) x)
87.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
130.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
59.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify66.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	455	1085
1	1987	1003
2	5001	1002

prune353.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
2.5b	(fma (/ y (- (* t z) x)) z x)
3.3b	(/ y (- (* t z) x))
3.8b	(/ x (- (* t z) x))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
47×	`times-frac`
32×	`add-cube-cbrt`
12×	`associate-/l*`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r/`
5×	`distribute-lft-out--`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
2×	`associate-/l/`
1×	`flip3-+` `div-sub` `flip-+` `fma-udef`

Counts

4 → 125

Calls

4 calls:

55.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
0.0ms	(fma (/ y (- (* t z) x)) z x)
5.0ms	(/ y (- (* t z) x))
6.0ms	(/ x (- (* t z) x))

series281.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
60.0ms	(fma (/ y (- (* t z) x)) z x)
31.0ms	(/ y (- (* t z) x))
65.0ms	(/ x (- (* t z) x))

simplify55.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	488	1388
1	1679	1305
2	5002	1301

prune426.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

2.5b	(fma (/ y (- (* t z) x)) z x)
3.3b	(/ y (- (* t z) x))
3.8b	(/ x (- (* t z) x))
13.3b	(cbrt (pow (/ x (- (* t z) x)) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod` `times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`unpow-prod-down` `cube-prod`
8×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
6×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`cube-div` `cube-mult` `cbrt-div` `pow1/3` `unpow3` `rem-cbrt-cube` `fma-udef` `sqr-pow`

Counts

4 → 120

Calls

4 calls:

0.0ms	(fma (/ y (- (* t z) x)) z x)
5.0ms	(/ y (- (* t z) x))
5.0ms	(/ x (- (* t z) x))
9.0ms	(cbrt (pow (/ x (- (* t z) x)) 3))

series232.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(fma (/ y (- (* t z) x)) z x)
34.0ms	(/ y (- (* t z) x))
60.0ms	(/ x (- (* t z) x))
81.0ms	(cbrt (pow (/ x (- (* t z) x)) 3))

simplify61.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	491	811
1	2042	773
2	5002	773

prune418.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
2.5b	(fma (/ y (- (* t z) x)) z x)
3.3b	(/ y (- (* t z) x))
3.8b	(/ x (- (* t z) x))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
47×	`times-frac`
32×	`add-cube-cbrt`
12×	`associate-/l*`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r/`
5×	`distribute-lft-out--`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
2×	`associate-/l/`
1×	`flip3-+` `div-sub` `flip-+` `fma-udef`

Counts

4 → 125

Calls

4 calls:

53.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ 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))

series284.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
60.0ms	(fma (/ y (- (* t z) x)) z x)
32.0ms	(/ y (- (* t z) x))
66.0ms	(/ x (- (* t z) x))

simplify60.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	488	1388
1	1679	1305
2	5002	1301

prune397.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes147.0ms

Accuracy

30.4% (3.0b remaining)

Error of 3.3b against oracle of 0.3b and baseline of 4.7b

bsearch97.0ms

Steps

Iters	Range		Point
8	1.0027175483906062e+76	1.3424345861994201e+79	5.589683021273789e+76
8	-1.0812403351652139e+135	-8.069388505643744e+131	-1.6579298446565844e+132

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	13
1	34	13

end0.0ms

sample549.0ms

Algorithm

intervals

Results

331.0ms

8315×

body

valid