Details

sample76.0ms

Algorithm

intervals

Results

25.0ms	373×	body	80	valid
21.0ms	351×	body	80	nan

simplify50.0ms

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

Filtered

1 candidates to 0 candidates (100.0%)

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: 5.5b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* (- x 0.5) (log x)) x)
0.1b	(* (- x 0.5) (log x))
0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
5.1b	(/ (+ (* (- (* (+ 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:

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

series119.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* (- x 0.5) (log x)) x)
21.0ms	(* (- x 0.5) (log x))
40.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	543	875
1	1813	820
2	5001	763

prune247.0ms

Filtered

110 candidates to 83 candidates (24.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	95	15	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	15	111

Merged error: 4.2b

Counts

111 → 15

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (sqrt x)) (- x 0.5))
0.1b	(* (- x 0.5) (log (sqrt x)))
0.3b	(+ (* (- x 0.5) (log (sqrt x))) (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467))
5.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

7.0ms	(* (log (sqrt x)) (- x 0.5))
8.0ms	(* (- x 0.5) (log (sqrt x)))
16.0ms	(+ (* (- x 0.5) (log (sqrt x))) (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467))
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series55.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (log (sqrt x)) (- x 0.5))
7.0ms	(* (- x 0.5) (log (sqrt x)))
15.0ms	(+ (* (- x 0.5) (log (sqrt x))) (+ (- (* (log (sqrt x)) (- x 0.5)) x) 0.91893853320467))
25.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify86.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	815	1522
1	3464	1412
2	5003	1386

prune292.0ms

Filtered

138 candidates to 103 candidates (25.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	139	14	153

Merged error: 4.2b

Counts

153 → 14

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
0.5b	(cbrt x)
0.5b	(cbrt x)
5.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite31.0ms

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:

13.0ms	(+ (* (- 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)

series177.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
22.0ms	(cbrt x)
26.0ms	(cbrt x)
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify65.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (54.0ms)

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

prune262.0ms

Filtered

115 candidates to 101 candidates (12.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	12	13
Picked	0	1	1
Done	0	0	0
Total	115	14	129

Merged error: 4.2b

Counts

129 → 14

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (- (* (- x 0.5) (* 3 (log (cbrt x)))) x) 0.91893853320467)
0.3b	(* 3 (log (cbrt x)))
0.5b	(cbrt x)
5.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
29×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`add-cube-cbrt`
26×	`associate-+l+`
24×	`associate--l+`
21×	`cbrt-prod`
9×	`times-frac` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
5×	`associate-r`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`flip3-+` `pow1/3` `sum-log` `log-pow` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

14.0ms	(+ (- (* (- x 0.5) (* 3 (log (cbrt x)))) x) 0.91893853320467)
7.0ms	(* 3 (log (cbrt x)))
1.0ms	(cbrt x)
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series193.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ (- (* (- x 0.5) (* 3 (log (cbrt x)))) x) 0.91893853320467)
41.0ms	(* 3 (log (cbrt x)))
21.0ms	(cbrt x)
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	584	993
1	1887	922
2	5001	897

prune192.0ms

Filtered

124 candidates to 97 candidates (21.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	12	12
Picked	1	0	1
Done	0	1	1
Total	124	14	138

Merged error: 4.2b

Counts

138 → 14

regimes577.0ms

Accuracy

58.3% (0.5b remaining)

Error of 4.9b against oracle of 4.4b and baseline of 5.6b

bsearch7.0ms

Steps

Iters	Range		Point
2	6.855389235561962e+224	7.851232360926466e+224	6.951854050669375e+224

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	36
1	64	36

end0.0ms

sample2.4s

Algorithm

intervals

Results

787.0ms	11669×	body	80	valid
720.0ms	12095×	body	80	nan

Details

sample76.0ms

simplify50.0ms

prune4.0ms

localize18.0ms

rewrite37.0ms

series119.0ms

simplify53.0ms

prune247.0ms

localize19.0ms

rewrite46.0ms

series55.0ms

simplify86.0ms

prune292.0ms

localize24.0ms

rewrite31.0ms

series177.0ms

simplify65.0ms

prune262.0ms

localize18.0ms

rewrite37.0ms

series193.0ms

simplify56.0ms

prune192.0ms

regimes577.0ms

bsearch7.0ms

simplify2.0ms

end0.0ms

sample2.4s

Profiling