Details

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 59.586845%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

17.0ms	256×	body	80	valid
2.0ms	30×	body	80	invalid
1.0ms	21×	body	80	nan

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	12
1	84	12
2	245	12
3	581	12
4	1280	12
5	2462	12
6	5001	12

prune6.0ms

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: 4.3b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
3.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
12×	`associate--l+`
11×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in` `times-frac`
8×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
7×	`pow1`
5×	`associate-l`
4×	`associate-r`
3×	`associate-/r` `associate-/l`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `associate-*l/` `sum-log` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `log-pow` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

10.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
7.0ms	(- (* (- x 0.5) (log x)) x)
7.0ms	(* (- x 0.5) (log x))
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series122.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
36.0ms	(- (* (- x 0.5) (log x)) x)
24.0ms	(* (- x 0.5) (log x))
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	543	875
1	1816	820
2	5001	763

prune229.0ms

Filtered

83 candidates to 110 candidates (-32.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	97	13	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	13	111

Merged error: 3.4b

Counts

111 → 13

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x)) 0.91893853320467)
0.2b	(* (log (sqrt x)) (- x 0.5))
0.2b	(* (- x 0.5) (log (sqrt x)))
3.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
20×	`add-cube-cbrt`
13×	`add-log-exp`
12×	`pow1` `log-prod`
11×	`associate-r` `associate-l`
10×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac`
8×	`distribute-rgt-in` `distribute-lft-in`
6×	`sqrt-prod` `log-pow`
5×	`sum-log`
3×	`associate-/r` `associate-/l`
2×	`sub-neg` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `associate-+r-` `associate-+l+` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv` `distribute-lft-out`

Counts

4 → 111

Calls

4 calls:

15.0ms	(+ (+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x)) 0.91893853320467)
7.0ms	(* (log (sqrt x)) (- x 0.5))
8.0ms	(* (- x 0.5) (log (sqrt x)))
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series55.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x)) 0.91893853320467)
8.0ms	(* (log (sqrt x)) (- x 0.5))
7.0ms	(* (- x 0.5) (log (sqrt x)))
23.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify72.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	662	1199
1	2699	1069
2	5002	1049

prune245.0ms

Filtered

90 candidates to 123 candidates (-36.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	123	13	136

Merged error: 3.4b

Counts

136 → 13

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- x 0.5) (* 2 (log (cbrt (sqrt x))))) (* (- x 0.5) (log (cbrt (sqrt x)))))
0.5b	(cbrt (sqrt x))
0.5b	(cbrt (sqrt x))
3.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
48×	`cbrt-prod`
45×	`distribute-rgt-in` `distribute-lft-in`
36×	`associate-+l+`
34×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`sqrt-prod`
18×	`associate-+r+`
9×	`times-frac`
8×	`associate-*l/`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `flip3--` `frac-add` `flip--`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `pow1/3` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv` `distribute-lft-out`

Counts

4 → 127

Calls

4 calls:

16.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt (sqrt x))))) (* (- x 0.5) (log (cbrt (sqrt x)))))
2.0ms	(cbrt (sqrt x))
2.0ms	(cbrt (sqrt x))
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series133.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt (sqrt x))))) (* (- x 0.5) (log (cbrt (sqrt x)))))
16.0ms	(cbrt (sqrt x))
21.0ms	(cbrt (sqrt x))
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify82.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	790	1509
1	2930	1352
2	5003	1307

prune336.0ms

Filtered

115 candidates to 139 candidates (-20.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	140	12	152

Merged error: 3.4b

Counts

152 → 12

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
3.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series90.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt x)
22.0ms	(cbrt x)
22.0ms	(cbrt x)
24.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify93.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	231	498
1	697	460
2	3102	429
3	5001	426

prune117.0ms

Filtered

59 candidates to 74 candidates (-25.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	74	12	86

Merged error: 3.4b

Counts

86 → 12

regimes566.0ms

Accuracy

0% (1.2b remaining)

Error of 6.0b against oracle of 4.8b and baseline of 6.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	20
1	34	20

end0.0ms

sample1.9s

Algorithm

intervals

sampling

Space saved by range analysis: 59.586845%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results

552.0ms	8000×	body	80	valid
49.0ms	734×	body	80	invalid
47.0ms	729×	body	80	nan

Details

sample1.1s

simplify53.0ms

prune6.0ms

localize17.0ms

rewrite38.0ms

series122.0ms

simplify54.0ms

prune229.0ms

localize24.0ms

rewrite45.0ms

series55.0ms

simplify72.0ms

prune245.0ms

localize31.0ms

rewrite36.0ms

series133.0ms

simplify82.0ms

prune336.0ms

localize24.0ms

rewrite16.0ms

series90.0ms

simplify93.0ms

prune117.0ms

regimes566.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.9s

Profiling