Details

analyze310.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

sample50.0ms

Algorithm

intervals

Results

12.0ms	18×	body	1280	valid
11.0ms	178×	body	80	valid
10.0ms	30×	body	640	valid
4.0ms	19×	body	320	valid
1.0ms	11×	body	160	valid
0.0ms	7×	body	80	nan
0.0ms	1×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	13
1	25	13

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 11.2b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.2b	(* x (log y))
5.8b	(log (- 1.0 y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 85

Calls

4 calls:

6.0ms	(* z (log (- 1.0 y)))
9.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series41.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* z (log (- 1.0 y)))
21.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify44.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4992	977
1	4992	977

prune166.0ms

Filtered

69 candidates to 97 candidates (-40.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	91	6	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	6	98

Merged error: 0.1b

Counts

98 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (+ (* 1.0 z) (/ (* z 1/2) (* 1.0 (/ 1.0 y)))))
0.0b	(- (+ (* x (log y)) (- (* z (log 1.0)) (* y (+ (* 1.0 z) (/ (* z 1/2) (* 1.0 (/ 1.0 y))))))) t)
0.2b	(/ (* z 1/2) (* 1.0 (/ 1.0 y)))
0.2b	(* x (log y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

7.0ms	(* y (+ (* 1.0 z) (/ (* z 1/2) (* 1.0 (/ 1.0 y)))))
8.0ms	(- (+ (* x (log y)) (- (* z (log 1.0)) (* y (+ (* 1.0 z) (/ (* z 1/2) (* 1.0 (/ 1.0 y))))))) t)
8.0ms	(/ (* z 1/2) (* 1.0 (/ 1.0 y)))
5.0ms	(* x (log y))

series59.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* y (+ (* 1.0 z) (/ (* z 1/2) (* 1.0 (/ 1.0 y)))))
37.0ms	(- (+ (* x (log y)) (- (* z (log 1.0)) (* y (+ (* 1.0 z) (/ (* z 1/2) (* 1.0 (/ 1.0 y))))))) t)
6.0ms	(/ (* z 1/2) (* 1.0 (/ 1.0 y)))
8.0ms	(* x (log y))

simplify30.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5015	1501

prune182.0ms

Filtered

67 candidates to 102 candidates (-52.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	101	7	108

Merged error: 0.1b

Counts

108 → 7

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0))) (cbrt (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0))))
0.6b	(cbrt (+ (* 1.0 z) (/ (* z 1/2) (* 1.0 (/ 1.0 y)))))
0.6b	(cbrt (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0)))
0.6b	(cbrt (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

23.0ms	(* (cbrt (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0))) (cbrt (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0))))
5.0ms	(cbrt (+ (* 1.0 z) (/ (* z 1/2) (* 1.0 (/ 1.0 y)))))
8.0ms	(cbrt (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0)))
9.0ms	(cbrt (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0))) (cbrt (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0))))
20.0ms	(cbrt (+ (* 1.0 z) (/ (* z 1/2) (* 1.0 (/ 1.0 y)))))
20.0ms	(cbrt (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0)))
24.0ms	(cbrt (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5209	2805

prune409.0ms

Filtered

81 candidates to 99 candidates (-22.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	98	8	106

Merged error: 0.1b

Counts

106 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* y (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0)))) (cbrt (* y (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0)))))
16.0b	(cbrt (* y (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0))))
16.0b	(cbrt (* y (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0))))
16.0b	(cbrt (* y (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

10.0ms	(* (cbrt (* y (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0)))) (cbrt (* y (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0)))))
11.0ms	(cbrt (* y (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0))))
10.0ms	(cbrt (* y (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0))))
19.0ms	(cbrt (* y (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0))))

series133.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (cbrt (* y (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0)))) (cbrt (* y (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0)))))
31.0ms	(cbrt (* y (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0))))
30.0ms	(cbrt (* y (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0))))
31.0ms	(cbrt (* y (+ (* (/ z 1.0) (* y (/ 1/2 1.0))) (* z 1.0))))

simplify53.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4956	2203
1	4956	2203

prune316.0ms

Filtered

71 candidates to 84 candidates (-18.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	83	9	92

Merged error: 0.1b

Counts

92 → 9

regimes421.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	27
1	28	27

end0.0ms

analyze318.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

sample1.5s

Algorithm

intervals

Results

379.0ms	5513×	body	80	valid
333.0ms	920×	body	640	valid
252.0ms	366×	body	1280	valid
172.0ms	762×	body	320	valid
64.0ms	439×	body	160	valid
22.0ms	270×	body	80	nan
2.0ms	37×	body	80	invalid

Details

analyze310.0ms

sample50.0ms

simplify3.0ms

prune8.0ms

localize11.0ms

rewrite26.0ms

series41.0ms

simplify44.0ms

prune166.0ms

localize18.0ms

rewrite31.0ms

series59.0ms

simplify30.0ms

prune182.0ms

localize33.0ms

rewrite48.0ms

series90.0ms

simplify55.0ms

prune409.0ms

localize28.0ms

rewrite52.0ms

series133.0ms

simplify53.0ms

prune316.0ms

regimes421.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze318.0ms

sample1.5s

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