Details

sample5.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.390625%

Guaranteed chance to sample good point: 30.784314%

Results

27.0ms	289×	body	80	valid
9.0ms	112×	body	80	nan

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	81	9
2	178	9
3	446	9
4	1530	9
5	5001	9

prune5.0ms

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: 17.9b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

4.5b	(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
4.8b	(/ (* M D) (* 2.0 d))
5.2b	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
11.4b	(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-exp-log`
35×	`add-sqr-sqrt`
27×	`prod-exp`
23×	`add-cbrt-cube`
19×	`div-exp` `associate-r`
17×	`add-cube-cbrt` `*-un-lft-identity`
14×	`times-frac`
12×	`associate-l`
10×	`pow-exp`
8×	`unswap-sqr`
7×	`pow1` `unpow-prod-down` `sqrt-prod` `cbrt-unprod`
5×	`cbrt-undiv`
4×	`sqrt-div` `add-log-exp`
3×	`associate-*r/` `div-inv` `sqr-pow`
2×	`pow-to-exp` `flip3--` `*-commutative` `flip--`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `clear-num` `associate-/r` `associate-/l`

Counts

4 → 113

Calls

4 calls:

6.0ms	(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
5.0ms	(/ (* M D) (* 2.0 d))
2.0ms	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
10.0ms	(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

series535.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
6.0ms	(/ (* M D) (* 2.0 d))
144.0ms	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
210.0ms	(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

simplify71.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	738	1124
1	2959	1046
2	5002	1043

prune247.0ms

Filtered

81 candidates to 125 candidates (-54.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	118	7	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	7	126

Merged error: 10.4b

Counts

126 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

4.8b	(/ (* M D) (* 2.0 d))
4.8b	(/ (* M D) (* 2.0 d))
5.2b	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ h l)))))
10.2b	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ h l))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-exp-log`
33×	`add-cbrt-cube`
30×	`prod-exp`
28×	`add-sqr-sqrt`
23×	`div-exp`
15×	`times-frac`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`pow-exp` `cbrt-unprod`
9×	`cbrt-undiv` `associate-l`
7×	`unpow-prod-down`
6×	`unswap-sqr`
5×	`pow1`
4×	`div-inv` `add-log-exp`
3×	`sqrt-prod` `sqr-pow`
2×	`pow-to-exp` `frac-2neg` `sqrt-div` `clear-num` `associate-/r` `associate-/l`
1×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `flip--`

Counts

4 → 110

Calls

4 calls:

5.0ms	(/ (* M D) (* 2.0 d))
6.0ms	(/ (* M D) (* 2.0 d))
2.0ms	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ h l)))))
10.0ms	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ h l))

series364.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (* M D) (* 2.0 d))
6.0ms	(/ (* M D) (* 2.0 d))
146.0ms	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ h l)))))
207.0ms	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ h l))

simplify73.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	702	1184
1	2817	1065
2	5002	1064

prune261.0ms

Filtered

77 candidates to 122 candidates (-58.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	121	8	129

Merged error: 10.0b

Counts

129 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

4.8b	(/ (* M D) (* 2.0 d))
4.8b	(/ (* M D) (* 2.0 d))
5.2b	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) l))))
6.5b	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
30×	`add-cbrt-cube`
19×	`prod-exp`
14×	`add-sqr-sqrt`
12×	`div-exp`
9×	`associate-l` `cbrt-unprod`
8×	`cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `pow-exp`
4×	`add-log-exp`
3×	`times-frac` `associate-r` `sqrt-prod` `div-inv` `unswap-sqr`
2×	`frac-2neg` `sqrt-div` `clear-num` `associate-/r` `associate-/l` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `*-commutative` `flip--`

Counts

4 → 88

Calls

4 calls:

5.0ms	(/ (* M D) (* 2.0 d))
6.0ms	(/ (* M D) (* 2.0 d))
2.0ms	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) l))))
7.0ms	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

series351.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (* M D) (* 2.0 d))
5.0ms	(/ (* M D) (* 2.0 d))
143.0ms	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) l))))
197.0ms	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)

simplify56.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	564	916
1	2210	810
2	5001	809

prune214.0ms

Filtered

64 candidates to 100 candidates (-56.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	100	8	108

Merged error: 10.0b

Counts

108 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

10.2b	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ h l))
24.6b	(cbrt (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ h l)))
24.6b	(cbrt (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ h l)))
24.6b	(cbrt (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ h l)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-exp-log`
26×	`add-sqr-sqrt`
22×	`prod-exp`
15×	`div-exp`
13×	`add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-r*`
10×	`pow-exp`
9×	`associate-l` `add-cbrt-cube`
7×	`unpow-prod-down`
6×	`unswap-sqr`
4×	`pow1` `associate-*r/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `sqr-pow`
2×	`pow-to-exp` `cbrt-unprod` `div-inv`
1×	`cbrt-undiv` `*-commutative`

Counts

4 → 83

Calls

4 calls:

10.0ms	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ h l))
7.0ms	(cbrt (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ h l)))
5.0ms	(cbrt (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ h l)))
5.0ms	(cbrt (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ h l)))

series697.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ h l))
161.0ms	(cbrt (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ h l)))
163.0ms	(cbrt (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ h l)))
163.0ms	(cbrt (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ h l)))

simplify59.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	735	1230
1	2354	1144
2	5001	1138

prune394.0ms

Filtered

73 candidates to 95 candidates (-30.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	95	8	103

Merged error: 10.0b

Counts

103 → 8

regimes1.9s

Accuracy

-68.7% (2.3b remaining)

Error of 10.0b against oracle of 7.7b and baseline of 9.0b

bsearch59.0ms

Steps

Iters	Range		Point
9	-3.353225653658242e-274	-3.76510072982294e-282	-1.6230172512242186e-281
5	-1.1663686806087078e+262	-4.503985350252335e+261	-1.1499188086214218e+262

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	39
1	41	39

end0.0ms

sample7.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.390625%

Guaranteed chance to sample good point: 30.784314%

Results

752.0ms	9283×	body	80	valid
253.0ms	3179×	body	80	nan

Details

sample5.8s

simplify59.0ms

prune5.0ms

localize14.0ms

rewrite30.0ms

series535.0ms

simplify71.0ms

prune247.0ms

localize16.0ms

rewrite27.0ms

series364.0ms

simplify73.0ms

prune261.0ms

localize16.0ms

rewrite23.0ms

series351.0ms

simplify56.0ms

prune214.0ms

localize21.0ms

rewrite30.0ms

series697.0ms

simplify59.0ms

prune394.0ms

regimes1.9s

bsearch59.0ms

simplify2.0ms

end0.0ms

sample7.3s

Profiling