Details

sample124.0ms

Algorithm

intervals

Results

50.0ms	796×	body	80	nan
12.0ms	178×	body	80	valid
10.0ms	15×	body	1280	valid
9.0ms	23×	body	640	valid
6.0ms	29×	body	320	valid
2.0ms	15×	body	160	valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	7
1	30	7
2	39	7
3	45	7
4	60	7
5	88	7
6	125	7
7	176	7
8	208	7
9	225	7
10	293	7
11	293	7

prune3.0ms

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: 9.6b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (* z (log (- 1.0 y))))
0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b	(* x (log y))
4.8b	(log (- 1.0 y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

8.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
6.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series259.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
92.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
44.0ms	(* x (log y))
47.0ms	(log (- 1.0 y))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	454	670
1	1434	621
2	5001	590

prune265.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	89	7	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	7	97

Merged error: 0.1b

Counts

97 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0b	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.3b	(* x (log y))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 184

Calls

4 calls:

13.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
6.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
21.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
5.0ms	(* x (log y))

series564.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
186.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
237.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
39.0ms	(* x (log y))

simplify89.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	862	1507
1	3636	1307
2	5003	1306

prune518.0ms

Filtered

196 candidates to 121 candidates (61.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	195	8	203

Merged error: 0.0b

Counts

203 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(* (cbrt (log y)) (cbrt (log y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
7.0ms	(* (cbrt (log y)) (cbrt (log y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt (log y))
272.0ms	(cbrt (log y))
283.0ms	(cbrt (log y))
284.0ms	(* (cbrt (log y)) (cbrt (log y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	121	487
1	438	416
2	2989	358
3	5001	351

prune307.0ms

Filtered

93 candidates to 56 candidates (60.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	92	9	101

Merged error: 0.0b

Counts

101 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x (cbrt (pow (log y) 2))) (cbrt (log y)))
0.5b	(cbrt (log y))
0.5b	(cbrt (pow (log y) 2))
0.6b	(pow (log y) 2)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`cbrt-prod`
14×	`pow1`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
8×	`unpow-prod-down`
7×	`associate-r`
6×	`add-cbrt-cube`
4×	`log-pow` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 70

Calls

4 calls:

8.0ms	(* (* x (cbrt (pow (log y) 2))) (cbrt (log y)))
1.0ms	(cbrt (log y))
2.0ms	(cbrt (pow (log y) 2))
3.0ms	(pow (log y) 2)

series774.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* x (cbrt (pow (log y) 2))) (cbrt (log y)))
277.0ms	(cbrt (log y))
277.0ms	(cbrt (pow (log y) 2))
181.0ms	(pow (log y) 2)

simplify38.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	232	446
1	1007	382
2	5002	347

prune254.0ms

Filtered

82 candidates to 47 candidates (57.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	2	5	7
Picked	1	0	1
Done	1	0	1
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

regimes307.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	19
1	33	19

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.5s	24100×	body	80	nan
373.0ms	5521×	body	80	valid
315.0ms	882×	body	640	valid
292.0ms	429×	body	1280	valid
171.0ms	750×	body	320	valid
63.0ms	453×	body	160	valid

Details

sample124.0ms

simplify24.0ms

prune3.0ms

localize12.0ms

rewrite28.0ms

series259.0ms

simplify50.0ms

prune265.0ms

localize19.0ms

rewrite53.0ms

series564.0ms

simplify89.0ms

prune518.0ms

localize24.0ms

rewrite13.0ms

series1.1s

simplify85.0ms

prune307.0ms

localize25.0ms

rewrite15.0ms

series774.0ms

simplify38.0ms

prune254.0ms

regimes307.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.6s

Profiling