Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

269×

body

valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	8
1	35	8
2	60	8
3	103	8
4	183	8
5	416	8
6	1194	8
7	5001	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.1b	(/ (- (* y z) x) (- (* t z) x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`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` `div-sub` `associate-/r/` `associate-/l/`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 98

Calls

4 calls:

11.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
4.0ms	(- (* t z) x)
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series280.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
23.0ms	(- (* t z) x)
118.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
58.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify44.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	397	1011
1	1388	948
2	5001	947

prune272.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) (- (* t z) x)))
0.0b	(/ (- (+ x (/ (* y z) (- (* t z) x))) (/ x (- (* t z) x))) (+ x 1.0))
3.3b	(/ x (- (* t z) x))
12.1b	(/ (* y z) (- (* t z) x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
45×	`times-frac`
27×	`add-cube-cbrt`
14×	`distribute-lft-out`
13×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/l*`
10×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `cbrt-undiv` `div-exp` `associate-/l/`
3×	`flip3--` `frac-2neg` `flip3-+` `clear-num` `flip--` `flip-+` `div-inv`
2×	`frac-sub`
1×	`+-commutative` `div-sub` `prod-exp` `sum-log` `cbrt-unprod`

Counts

4 → 122

Calls

4 calls:

7.0ms	(+ x (/ (* y z) (- (* t z) x)))
21.0ms	(/ (- (+ x (/ (* y z) (- (* t z) x))) (/ x (- (* t z) x))) (+ x 1.0))
5.0ms	(/ x (- (* t z) x))
7.0ms	(/ (* y z) (- (* t z) x))

series258.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ x (/ (* y z) (- (* t z) x)))
122.0ms	(/ (- (+ x (/ (* y z) (- (* t z) x))) (/ x (- (* t z) x))) (+ x 1.0))
58.0ms	(/ x (- (* t z) x))
37.0ms	(/ (* y z) (- (* t z) x))

simplify59.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	522	1492
1	2156	1404
2	5001	1404

prune327.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (+ x (* y (/ z (- (* t z) x)))) (/ x (- (* t z) x))) (+ x 1.0))
2.4b	(* y (/ z (- (* t z) x)))
3.3b	(/ x (- (* t z) x))
7.2b	(/ z (- (* t z) x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
57×	`times-frac`
40×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r` `add-cbrt-cube`
12×	`associate-/l*`
10×	`associate-/r*` `difference-of-squares`
8×	`associate-/r/`
7×	`distribute-lft-out`
6×	`pow1`
5×	`distribute-lft-out--`
4×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`flip3-+` `prod-exp` `frac-sub` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`div-sub` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 145

Calls

4 calls:

15.0ms	(/ (- (+ x (* y (/ z (- (* t z) x)))) (/ x (- (* t z) x))) (+ x 1.0))
9.0ms	(* y (/ z (- (* t z) x)))
5.0ms	(/ x (- (* t z) x))
6.0ms	(/ z (- (* t z) x))

series249.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(/ (- (+ x (* y (/ z (- (* t z) x)))) (/ x (- (* t z) x))) (+ x 1.0))
32.0ms	(* y (/ z (- (* t z) x)))
63.0ms	(/ x (- (* t z) x))
31.0ms	(/ z (- (* t z) x))

simplify67.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	563	1577
1	2363	1477
2	5001	1477

prune397.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.3b	(/ x (- (* t z) x))
7.2b	(/ z (- (* t z) x))
7.2b	(/ z (- (* t z) x))
7.2b	(/ z (- (* t z) x))

rewrite26.0ms

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` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

4 → 116

Calls

4 calls:

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

series153.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ x (- (* t z) x))
29.0ms	(/ z (- (* t z) x))
30.0ms	(/ z (- (* t z) x))
34.0ms	(/ z (- (* t z) x))

simplify62.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	198	743
1	679	688
2	2036	688
3	5002	688

prune498.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes292.0ms

Accuracy

-4.2% (2.0b remaining)

Error of 2.3b against oracle of 0.3b and baseline of 2.2b

bsearch6.0ms

Steps

Iters	Range		Point
1	-1.2751090892037477e+44	-1.1882542730907606e+44	-1.253395385175501e+44

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	15
1	25	15

end0.0ms

sample551.0ms

Algorithm

intervals

Results

339.0ms

8329×

body

valid