Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

264×

body

valid

simplify73.0ms

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: 10.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
0.0b	(- (* y z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
13.0b	(/ (- (* y z) x) (- (* t z) x))

rewrite95.0ms

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:

56.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
3.0ms	(- (* y z) x)
20.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
12.0ms	(/ (- (* y z) x) (- (* t z) x))

series317.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
23.0ms	(- (* y z) x)
92.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
67.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify81.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (65.0ms)

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

prune367.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
3.2b	(fma (/ y (- (* t z) x)) z x)
3.4b	(/ x (- (* t z) x))
4.6b	(/ y (- (* t z) x))

rewrite70.0ms

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:

54.0ms	(/ (- (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	(/ x (- (* t z) x))
6.0ms	(/ y (- (* t z) x))

series308.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
63.0ms	(fma (/ y (- (* t z) x)) z x)
69.0ms	(/ x (- (* t z) x))
32.0ms	(/ y (- (* t z) x))

simplify66.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (50.0ms)

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

prune435.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

4.6b	(/ y (- (* t z) x))
9.6b	(cbrt (- (* t z) x))
9.6b	(cbrt (- (* t z) x))
9.6b	(cbrt (- (* t z) x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

5.0ms	(/ y (- (* t z) x))
3.0ms	(cbrt (- (* t z) x))
2.0ms	(cbrt (- (* t z) x))
3.0ms	(cbrt (- (* t z) x))

series422.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ y (- (* t z) x))
129.0ms	(cbrt (- (* t z) x))
127.0ms	(cbrt (- (* t z) x))
135.0ms	(cbrt (- (* t z) x))

simplify70.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	249	566
1	682	530
2	1892	512
3	5001	499

prune364.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.3b	(/ (- (* t z) x) (cbrt y))
3.2b	(fma (/ (* (cbrt y) (cbrt y)) (/ (- (* t z) x) (cbrt y))) z x)
3.4b	(/ x (- (* t z) x))
3.6b	(/ (* (cbrt y) (cbrt y)) (/ (- (* t z) x) (cbrt y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

85×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
31×	`associate-/r*`
30×	`cbrt-prod`
20×	`add-exp-log`
13×	`add-cbrt-cube`
8×	`cbrt-undiv` `div-exp`
7×	`associate-/l*`
5×	`div-inv`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num` `associate-/r/`
2×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`div-sub` `fma-udef`

Counts

4 → 151

Calls

4 calls:

9.0ms	(/ (- (* t z) x) (cbrt y))
0.0ms	(fma (/ (* (cbrt y) (cbrt y)) (/ (- (* t z) x) (cbrt y))) z x)
5.0ms	(/ x (- (* t z) x))
11.0ms	(/ (* (cbrt y) (cbrt y)) (/ (- (* t z) x) (cbrt y)))

series377.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(/ (- (* t z) x) (cbrt y))
85.0ms	(fma (/ (* (cbrt y) (cbrt y)) (/ (- (* t z) x) (cbrt y))) z x)
66.0ms	(/ x (- (* t z) x))
60.0ms	(/ (* (cbrt y) (cbrt y)) (/ (- (* t z) x) (cbrt y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	594	1509
1	2773	1400
2	5001	1355

prune559.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes130.0ms

Accuracy

34.6% (3.0b remaining)

Error of 3.3b against oracle of 0.3b and baseline of 4.9b

bsearch113.0ms

Steps

Iters	Range		Point
9	2.3368260044911415e+32	6.299056690775413e+40	6.179932288964712e+40
9	-30.29444851407267	-2.6347950030161873e-08	-0.11637323540242528

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	33
1	41	33

end0.0ms

sample554.0ms

Algorithm

intervals

Results

336.0ms

8338×

body

valid