Details

sample890.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 64.678955%

Guaranteed chance to sample good point: 73.224469%

Results

19.0ms	256×	body	80	valid
6.0ms	79×	body	80	invalid
2.0ms	29×	body	80	nan

simplify52.0ms

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

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: 7.5b

Counts

2 → 1

localize20.0ms

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))
6.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite37.0ms

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)

series114.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
37.0ms	(- (* (- x 0.5) (log x)) x)
21.0ms	(* (- x 0.5) (log x))
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (40.0ms)

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

prune225.0ms

Filtered

83 candidates to 110 candidates (-32.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	99	11	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	11	111

Merged error: 6.0b

Counts

111 → 11

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)
6.9b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`cbrt-prod` `associate-+l+`
12×	`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 → 103

Calls

4 calls:

16.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series173.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
21.0ms	(cbrt x)
21.0ms	(cbrt x)
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify68.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	652	1117
1	2321	989
2	5003	952

prune269.0ms

Filtered

101 candidates to 115 candidates (-13.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	115	11	126

Merged error: 6.0b

Counts

126 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
0.3b	(/ 1 (/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333)))
6.9b	(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
66×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
62×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
12×	`log-prod`
11×	`associate-/r/`
8×	`pow1` `div-exp`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+` `div-inv` `associate-/l*` `add-log-exp`
5×	`flip3-+` `associate-l` `flip-+`
4×	`cbrt-undiv` `associate-r`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `associate-*l/` `clear-num` `flip--`
1×	`sub-neg` `pow-flip` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 160

Calls

4 calls:

7.0ms	(- (* (- x 0.5) (log x)) x)
7.0ms	(* (- x 0.5) (log x))
14.0ms	(/ 1 (/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333)))
11.0ms	(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))

series124.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* (- x 0.5) (log x)) x)
21.0ms	(* (- x 0.5) (log x))
26.0ms	(/ 1 (/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333)))
42.0ms	(/ x (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333))

simplify81.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	744	1921
1	3238	1766
2	5003	1666

prune266.0ms

Filtered

103 candidates to 172 candidates (-67.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	172	11	183

Merged error: 4.9b

Counts

183 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
3.6b	(/ (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (sqrt x)) (sqrt x))
3.7b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (sqrt x))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
166×	`add-sqr-sqrt`
164×	`*-un-lft-identity`
162×	`add-cube-cbrt`
144×	`sqrt-prod`
25×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube`
12×	`log-prod` `associate-/r*`
9×	`div-inv`
7×	`pow1`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+` `add-log-exp`
5×	`associate-l`
4×	`cbrt-undiv` `div-exp` `associate-r`
3×	`associate-/l/`
2×	`flip3--` `frac-2neg` `associate-*l/` `clear-num` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 263

Calls

4 calls:

7.0ms	(- (* (- x 0.5) (log x)) x)
7.0ms	(* (- x 0.5) (log x))
16.0ms	(/ (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (sqrt x)) (sqrt x))
12.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (sqrt x))

series105.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* (- x 0.5) (log x)) x)
21.0ms	(* (- x 0.5) (log x))
24.0ms	(/ (/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (sqrt x)) (sqrt x))
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (sqrt x))

simplify105.0ms

Algorithm

egg-herbie

Counts

275 → 275

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	972	4326
1	3720	3983
2	5001	3976

prune334.0ms

Filtered

146 candidates to 275 candidates (-88.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	275	0	275
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	275	11	286

Merged error: 4.9b

Counts

286 → 11

regimes699.0ms

Accuracy

-13.5% (2.1b remaining)

Error of 6.0b against oracle of 3.9b and baseline of 5.7b

bsearch28.0ms

Steps

Iters	Range		Point
7	1.6751242190430393e+124	2.690902942211072e+125	1.1984511611344435e+125

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	31
1	65	31

end0.0ms

sample2.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 64.678955%

Guaranteed chance to sample good point: 73.224469%

Results

615.0ms	8000×	body	80	valid
156.0ms	2017×	body	80	invalid
69.0ms	990×	body	80	nan

Details

sample890.0ms

simplify52.0ms

prune4.0ms

localize20.0ms

rewrite37.0ms

series114.0ms

simplify50.0ms

prune225.0ms

localize23.0ms

rewrite33.0ms

series173.0ms

simplify68.0ms

prune269.0ms

localize18.0ms

rewrite44.0ms

series124.0ms

simplify81.0ms

prune266.0ms

localize19.0ms

rewrite57.0ms

series105.0ms

simplify105.0ms

prune334.0ms

regimes699.0ms

bsearch28.0ms

simplify2.0ms

end0.0ms

sample2.0s

Profiling