Details

sample133.0ms

Algorithm

intervals

Results

48.0ms	774×	body	80	nan
12.0ms	187×	body	80	valid
10.0ms	28×	body	640	valid
6.0ms	8×	body	1280	valid
4.0ms	18×	body	320	valid
2.0ms	16×	body	160	valid

simplify131.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	9
1	49	9
2	118	9
3	256	9
4	533	9
5	1250	9
6	2637	9
7	4297	9
8	4573	9
9	4588	9
10	4588	9

prune5.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 6.3b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.1b	(* (- x 1.0) (log y))
4.8b	(log (- 1.0 y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
35×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-*l/`
11×	`pow1`
10×	`associate-+r+` `associate-l`
9×	`add-exp-log`
8×	`associate-r` `add-cbrt-cube`
7×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`associate-+l+` `add-log-exp`
4×	`frac-add`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 109

Calls

4 calls:

11.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
9.0ms	(* (- z 1.0) (log (- 1.0 y)))
7.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series265.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
46.0ms	(* (- z 1.0) (log (- 1.0 y)))
53.0ms	(* (- x 1.0) (log y))
46.0ms	(log (- 1.0 y))

simplify71.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	621	970
1	2460	896
2	5003	883

prune578.0ms

Filtered

121 candidates to 91 candidates (75.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	113	8	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	8	122

Merged error: 0.1b

Counts

122 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.1b	(* (- x 1.0) (log y))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-sqr-sqrt`
80×	`times-frac`
78×	`associate-r`
57×	`*-un-lft-identity`
56×	`unpow-prod-down`
50×	`add-cube-cbrt`
31×	`add-exp-log`
27×	`flip3--` `flip--`
24×	`log-prod` `associate-*l/` `unpow2` `sqr-pow`
19×	`unswap-sqr`
16×	`distribute-rgt-in` `distribute-lft-in` `frac-add`
13×	`associate-l` `add-cbrt-cube`
12×	`pow1` `frac-times` `prod-exp` `associate--l+`
10×	`associate-+r+`
9×	`div-exp`
7×	`associate-*r/`
6×	`pow-to-exp` `associate-+l+` `pow-exp` `add-log-exp`
4×	`sub-neg` `cbrt-unprod` `distribute-lft-out--`
3×	`pow-prod-down` `*-commutative` `difference-of-squares`
2×	`log-pow`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `sum-log` `flip-+` `div-inv`

Counts

4 → 223

Calls

4 calls:

21.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
12.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
12.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
7.0ms	(* (- x 1.0) (log y))

series330.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
63.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
152.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
60.0ms	(* (- x 1.0) (log y))

simplify58.0ms

Algorithm

egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1332	2812
1	5001	2662

prune1.2s

Filtered

235 candidates to 163 candidates (69.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	233	2	235
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	236	7	243

Merged error: 0.1b

Counts

243 → 7

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log (cbrt y)))
0.2b	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
20×	`add-sqr-sqrt`
18×	`cbrt-prod` `*-un-lft-identity`
16×	`add-cube-cbrt`
14×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `associate-*l/` `add-cbrt-cube` `add-log-exp`
5×	`flip3--` `associate-r` `associate-l` `flip--`
4×	`associate-+l+` `associate-*r/` `frac-add`
3×	`pow1/3`
2×	`sub-neg` `log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

8.0ms	(* (- x 1.0) (log (cbrt y)))
11.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series781.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (- x 1.0) (log (cbrt y)))
299.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
183.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify82.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	450	835
1	2041	746
2	5002	703

prune685.0ms

Filtered

101 candidates to 78 candidates (77.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	103	5	108

Merged error: 0.0b

Counts

108 → 5

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log (pow y 1/3)))
0.2b	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (pow y 1/3))))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
15×	`unpow-prod-down`
14×	`associate-+r+`
7×	`pow1` `add-exp-log`
6×	`associate-*l/` `add-cbrt-cube` `add-log-exp`
5×	`flip3--` `associate-l` `flip--` `sqr-pow`
4×	`associate-+l+` `associate-r/` `associate-r*` `frac-add`
3×	`cbrt-prod` `pow-unpow`
2×	`sub-neg`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

8.0ms	(* (- x 1.0) (log (pow y 1/3)))
12.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (pow y 1/3))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series1.0s

Counts

4 → 12

Calls

4 calls:

100.0ms	(* (- x 1.0) (log (pow y 1/3)))
390.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (pow y 1/3))))
342.0ms	(cbrt y)
177.0ms	(pow y 1/3)

simplify75.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	565	894
1	2477	783
2	5002	740

prune672.0ms

Filtered

111 candidates to 81 candidates (73.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	111	5	116

Merged error: 0.0b

Counts

116 → 5

regimes483.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	22
1	38	22

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.4s	24181×	body	80	nan
383.0ms	5861×	body	80	valid
275.0ms	791×	body	640	valid
204.0ms	301×	body	1280	valid
138.0ms	640×	body	320	valid
59.0ms	437×	body	160	valid

Details

sample133.0ms

simplify131.0ms

prune5.0ms

localize13.0ms

rewrite34.0ms

series265.0ms

simplify71.0ms

prune578.0ms

localize26.0ms

rewrite64.0ms

series330.0ms

simplify58.0ms

prune1.2s

localize30.0ms

rewrite25.0ms

series781.0ms

simplify82.0ms

prune685.0ms

localize34.0ms

rewrite27.0ms

series1.0s

simplify75.0ms

prune672.0ms

regimes483.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.8s

Profiling