Details

sample186.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 50%

Guaranteed chance to sample good point: 97.668457%

Results

16.0ms

256×

body

valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	14
1	165	14
2	826	14
3	3867	14
4	5002	14

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: 0.4b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5.0 (* v v))
0.2b	(* PI t)
0.2b	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.4b	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
16×	`pow1`
13×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`flip3--` `sqrt-div` `associate-r` `associate-/r/` `flip--`
7×	`associate-l` `pow-prod-down`
4×	`cbrt-undiv` `frac-times` `div-exp` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`associate-*l/` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `clear-num` `associate-/r*` `sqrt-prod` `div-inv`

Counts

4 → 94

Calls

4 calls:

5.0ms	(* 5.0 (* v v))
3.0ms	(* PI t)
17.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
8.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series65.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 5.0 (* v v))
2.0ms	(* PI t)
41.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
19.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify105.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	772	1158
1	4350	1002
2	5003	1002

prune190.0ms

Filtered

72 candidates to 106 candidates (-47.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	98	8	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	8	107

Merged error: 0.1b

Counts

107 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5.0 (* v v))
0.2b	(* PI t)
0.2b	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
0.4b	(* (* PI t) (sqrt 2.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log` `add-cbrt-cube`
17×	`prod-exp` `cbrt-unprod`
16×	`pow1`
14×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
8×	`associate-*r/` `associate-/r/`
7×	`flip3--` `associate-l` `pow-prod-down` `flip--`
6×	`sqrt-div`
5×	`cbrt-undiv` `div-exp`
4×	`frac-times` `add-log-exp`
3×	`times-frac` `sqrt-prod` `-commutative` `associate-/l`
2×	`associate-*l/` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 96

Calls

4 calls:

5.0ms	(* 5.0 (* v v))
3.0ms	(* PI t)
16.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
6.0ms	(* (* PI t) (sqrt 2.0))

series51.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 5.0 (* v v))
2.0ms	(* PI t)
40.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
6.0ms	(* (* PI t) (sqrt 2.0))

simplify110.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	796	1127
1	4479	959
2	5002	957

prune179.0ms

Filtered

67 candidates to 108 candidates (-61.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	108	8	116

Merged error: 0.1b

Counts

116 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5.0 (* v v))
0.2b	(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
0.4b	(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b	(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log` `associate-*r/` `add-cbrt-cube`
16×	`pow1`
13×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
9×	`flip3--` `associate-l` `flip--`
8×	`associate-/r/`
7×	`pow-prod-down`
6×	`associate-r`
4×	`cbrt-undiv` `frac-times` `div-exp` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`associate-*l/` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `clear-num` `associate-/r*` `sqrt-prod` `div-inv`

Counts

4 → 96

Calls

4 calls:

5.0ms	(* 5.0 (* v v))
14.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
10.0ms	(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
7.0ms	(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series78.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 5.0 (* v v))
39.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
19.0ms	(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
17.0ms	(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify99.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	797	1300
1	4270	1138
2	5001	1138

prune191.0ms

Filtered

76 candidates to 108 candidates (-42.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	4	2	6
Picked	0	1	1
Done	0	1	1
Total	109	7	116

Merged error: 0.1b

Counts

116 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b	(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
1.0b	(sqrt PI)
1.0b	(sqrt PI)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r/` `sqrt-prod`
9×	`associate-l`
5×	`associate-r`
4×	`sqrt-div` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `*-commutative` `flip--`
1×	`unswap-sqr`

Counts

4 → 70

Calls

4 calls:

9.0ms	(* (sqrt PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
7.0ms	(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)

series40.0ms

Counts

4 → 8

Calls

4 calls:

23.0ms	(* (sqrt PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
18.0ms	(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)

simplify37.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	270	528
1	1131	495
2	5001	493

prune111.0ms

Filtered

57 candidates to 78 candidates (-36.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	78	7	85

Merged error: 0.1b

Counts

85 → 7

regimes279.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	15
1	26	15

end0.0ms

sample886.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 50%

Guaranteed chance to sample good point: 97.668457%

Results

522.0ms	8000×	body	80	valid
1.0ms	9×	body	80	nan

Details

sample186.0ms

simplify72.0ms

prune4.0ms

localize15.0ms

rewrite37.0ms

series65.0ms

simplify105.0ms

prune190.0ms

localize18.0ms

rewrite33.0ms

series51.0ms

simplify110.0ms

prune179.0ms

localize14.0ms

rewrite39.0ms

series78.0ms

simplify99.0ms

prune191.0ms

localize17.0ms

rewrite21.0ms

series40.0ms

simplify37.0ms

prune111.0ms

regimes279.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample886.0ms

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