Details

sample854.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 39.698152%

Results

12.0ms

266×

body

valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 6.1b

Counts

2 → 1

localize11.0ms

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))
10.3b	(/ (- (* y z) x) (- (* t z) x))

rewrite42.0ms

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:

13.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
3.0ms	(- (* t z) x)
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series81.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
5.0ms	(- (* t z) x)
32.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
16.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify47.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (35.0ms)

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

prune153.0ms

Filtered

80 candidates to 110 candidates (-37.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	102	8	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	8	111

Merged error: 0.5b

Counts

111 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
0.0b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
0.7b	(/ 1 (- (* t z) x))
9.5b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
29×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`div-exp`
4×	`flip3--` `prod-exp` `flip--` `distribute-lft-out`
3×	`cbrt-undiv` `flip3-+` `associate-l` `flip-+` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `frac-2neg` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `pow-flip` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 121

Calls

4 calls:

3.0ms	(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
7.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
5.0ms	(/ 1 (- (* t z) x))
12.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
35.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
6.0ms	(/ 1 (- (* t z) x))
17.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	469	1201
1	2114	1075
2	5002	1044

prune157.0ms

Filtered

86 candidates to 133 candidates (-54.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	133	8	141

Merged error: 0.5b

Counts

141 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

4.8b	(/ (cbrt (- (* y z) x)) (- (* t z) x))
6.0b	(cbrt (- (* y z) x))
6.0b	(cbrt (- (* y z) x))
6.0b	(cbrt (- (* y z) x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`cbrt-prod`
18×	`times-frac`
8×	`cbrt-div`
6×	`add-exp-log` `associate-/l*`
5×	`flip3--` `add-cbrt-cube` `flip--`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 82

Calls

4 calls:

10.0ms	(/ (cbrt (- (* y z) x)) (- (* t z) x))
5.0ms	(cbrt (- (* y z) x))
7.0ms	(cbrt (- (* y z) x))
7.0ms	(cbrt (- (* y z) x))

series158.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (cbrt (- (* y z) x)) (- (* t z) x))
30.0ms	(cbrt (- (* y z) x))
31.0ms	(cbrt (- (* y z) x))
33.0ms	(cbrt (- (* y z) x))

simplify66.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	308	867
1	884	833
2	2456	810
3	5001	794

prune124.0ms

Filtered

79 candidates to 94 candidates (-19.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	94	8	102

Merged error: 0.5b

Counts

102 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
0.2b	(pow (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)) 3)
10.3b	(/ (- (* y z) x) (- (* t z) x))
13.0b	(cbrt (pow (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)) 3))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

144×	`*-un-lft-identity`
89×	`times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
50×	`cbrt-prod`
44×	`unpow-prod-down` `cube-prod`
42×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r` `associate-/l`
6×	`flip3-+` `flip-+` `div-inv`
5×	`pow1`
4×	`associate-/l/` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `div-sub` `div-exp`
2×	`cube-div` `cube-mult` `flip3--` `frac-2neg` `unpow3` `pow-exp` `clear-num` `flip--` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `associate-+r-` `cbrt-div` `pow-pow` `pow1/3` `rem-cbrt-cube`

Counts

4 → 197

Calls

4 calls:

14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
16.0ms	(pow (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)) 3)
8.0ms	(/ (- (* y z) x) (- (* t z) x))
18.0ms	(cbrt (pow (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)) 3))

series291.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
205.0ms	(pow (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)) 3)
16.0ms	(/ (- (* y z) x) (- (* t z) x))
37.0ms	(cbrt (pow (/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0)) 3))

simplify86.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	646	2708
1	2896	2555
2	5001	2541

prune169.0ms

Filtered

105 candidates to 209 candidates (-99.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	209	8	217

Merged error: 0.5b

Counts

217 → 8

regimes382.0ms

Accuracy

59% (2.7b remaining)

Error of 3.6b against oracle of 0.9b and baseline of 7.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	21
1	33	21

end0.0ms

sample1.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 39.698152%

Results

398.0ms

8331×

body

valid

Details

sample854.0ms

simplify41.0ms

prune4.0ms

localize11.0ms

rewrite42.0ms

series81.0ms

simplify47.0ms

prune153.0ms

localize12.0ms

rewrite31.0ms

series82.0ms

simplify63.0ms

prune157.0ms

localize28.0ms

rewrite31.0ms

series158.0ms

simplify66.0ms

prune124.0ms

localize14.0ms

rewrite65.0ms

series291.0ms

simplify86.0ms

prune169.0ms

regimes382.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample1.6s

Profiling