Details

sample76.0ms

Algorithm

intervals

Results

26.0ms	384×	body	80	valid
21.0ms	365×	body	80	nan

simplify51.0ms

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: 5.5b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.1b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
5.0b	(/ (+ (* (- (* (+ 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)
6.0ms	(- (* (- 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)

series117.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
35.0ms	(- (* (- x 0.5) (log x)) x)
25.0ms	(* (- x 0.5) (log x))
21.0ms	(/ (+ (* (- (* (+ 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	1816	820
2	5001	763

prune224.0ms

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: 4.6b

Counts

111 → 13

localize21.0ms

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)
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite32.0ms

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)
12.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series176.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
25.0ms	(cbrt x)
22.0ms	(cbrt x)
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify68.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (56.0ms)

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

prune261.0ms

Filtered

101 candidates to 115 candidates (-13.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	114	14	128

Merged error: 4.6b

Counts

128 → 14

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (pow x 1/3))))
0.6b	(cbrt x)
5.0b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.1b	(pow x 1/3)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

38×	`log-prod`
31×	`distribute-rgt-in` `distribute-lft-in`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`associate-+l+`
15×	`cbrt-prod`
14×	`associate-+r+`
9×	`unpow-prod-down` `times-frac`
8×	`associate-*l/`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`pow1`
4×	`flip3--` `frac-add` `flip--`
3×	`pow-unpow` `associate-/r` `associate-/l` `sqr-pow`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `unpow1/3` `pow1/3` `div-exp` `pow-exp` `clear-num` `sum-log` `div-inv` `distribute-lft-out`

Counts

4 → 112

Calls

4 calls:

14.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (pow x 1/3))))
1.0ms	(cbrt x)
12.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
2.0ms	(pow x 1/3)

series205.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (pow x 1/3))))
22.0ms	(cbrt x)
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
20.0ms	(pow x 1/3)

simplify90.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	758	1154
1	3166	1020
2	5001	959

prune331.0ms

Filtered

101 candidates to 124 candidates (-22.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

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

Merged error: 4.6b

Counts

138 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.1b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
5.2b	(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

12.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
6.0ms	(- (* (- x 0.5) (log x)) x)
7.0ms	(* (- x 0.5) (log x))
15.0ms	(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

series117.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
37.0ms	(- (* (- x 0.5) (log x)) x)
21.0ms	(* (- x 0.5) (log x))
22.0ms	(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

simplify67.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	654	975
1	2585	892
2	5003	833

prune158.0ms

Filtered

87 candidates to 121 candidates (-39.1%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	10	11
Picked	0	1	1
Done	0	2	2
Total	121	14	135

Merged error: 4.6b

Counts

135 → 14

regimes564.0ms

Accuracy

0% (1.0b remaining)

Error of 6.0b against oracle of 4.9b and baseline of 6.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	19
1	38	19

end0.0ms

sample2.3s

Algorithm

intervals

Results

771.0ms	11679×	body	80	valid
699.0ms	11696×	body	80	nan

Details

sample76.0ms

simplify51.0ms

prune4.0ms

localize19.0ms

rewrite37.0ms

series117.0ms

simplify53.0ms

prune224.0ms

localize21.0ms

rewrite32.0ms

series176.0ms

simplify68.0ms

prune261.0ms

localize29.0ms

rewrite36.0ms

series205.0ms

simplify90.0ms

prune331.0ms

localize17.0ms

rewrite43.0ms

series117.0ms

simplify67.0ms

prune158.0ms

regimes564.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling