Details

sample32.0ms

Algorithm

intervals

Results

9.0ms	258×	body	80	valid
8.0ms	232×	body	80	nan

simplify149.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	6
1	61	6
2	192	6
3	649	6
4	1602	6
5	2720	6
6	3667	6
7	4387	6
8	4711	6
9	4956	6
10	5001	6

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.0b	(- x (* (+ y 0.5) (log y)))
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

19.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
10.0ms	(- x (* (+ y 0.5) (log y)))
14.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms	(* (+ y 0.5) (log y))

series388.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
45.0ms	(- x (* (+ y 0.5) (log y)))
46.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
243.0ms	(* (+ y 0.5) (log y))

simplify57.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	482	790
1	1712	749
2	5001	741

prune203.0ms

Filtered

119 candidates to 85 candidates (28.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	114	5	119
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	6	120

Merged error: 0b

Counts

120 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (- x (* (log (sqrt y)) (+ y 0.5))) (- (* (log (sqrt y)) (+ y 0.5)) y))
0.1b	(* (log (sqrt y)) (+ y 0.5))
0.1b	(* (log (sqrt y)) (+ y 0.5))
0.1b	(- (* (log (sqrt y)) (+ y 0.5)) y)

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
43×	`distribute-lft-out--`
30×	`associate-l`
21×	`pow1`
19×	`add-sqr-sqrt`
18×	`add-log-exp`
15×	`log-pow`
10×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate--l+` `associate--r+`
9×	`diff-log`
8×	`add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
6×	`flip3--` `flip--`
5×	`associate--l-`
4×	`sub-neg` `associate-*r/` `frac-sub`
3×	`difference-of-squares` `unswap-sqr`
2×	`sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`
1×	`associate--r-`

Counts

4 → 127

Calls

4 calls:

32.0ms	(- (- x (* (log (sqrt y)) (+ y 0.5))) (- (* (log (sqrt y)) (+ y 0.5)) y))
7.0ms	(* (log (sqrt y)) (+ y 0.5))
7.0ms	(* (log (sqrt y)) (+ y 0.5))
12.0ms	(- (* (log (sqrt y)) (+ y 0.5)) y)

series467.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(- (- x (* (log (sqrt y)) (+ y 0.5))) (- (* (log (sqrt y)) (+ y 0.5)) y))
91.0ms	(* (log (sqrt y)) (+ y 0.5))
93.0ms	(* (log (sqrt y)) (+ y 0.5))
164.0ms	(- (* (log (sqrt y)) (+ y 0.5)) y)

simplify78.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	544	1428
1	2174	1269
2	5002	1254

prune264.0ms

Filtered

139 candidates to 90 candidates (35.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	139	6	145

Merged error: 0b

Counts

145 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

50×	`distribute-rgt-in` `*-un-lft-identity` `distribute-lft-in`
48×	`log-prod`
33×	`add-sqr-sqrt`
30×	`cbrt-prod`
26×	`add-cube-cbrt` `associate-r`
24×	`associate-+l+`
19×	`associate-l`
15×	`distribute-lft-out`
14×	`pow1`
9×	`add-exp-log` `*-commutative` `add-cbrt-cube`
6×	`distribute-rgt-out` `flip3-+` `associate-*l/` `log-pow` `flip-+` `add-log-exp`
4×	`associate-+r+` `associate-*r/` `frac-add` `unswap-sqr`
3×	`+-commutative` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`sum-log`

Counts

4 → 141

Calls

4 calls:

13.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
38.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.8s

Counts

4 → 12

Calls

4 calls:

454.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
966.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
187.0ms	(cbrt y)
181.0ms	(cbrt y)

simplify110.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	707	1305
1	3465	1101
2	5002	1061

prune350.0ms

Filtered

153 candidates to 106 candidates (30.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	2	1	3
Picked	1	0	1
Done	1	1	2
Total	155	4	159

Merged error: 0b

Counts

159 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series759.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt y) (cbrt y))
183.0ms	(cbrt y)
187.0ms	(cbrt y)
180.0ms	(cbrt y)

simplify92.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3234	241
3	5002	238

prune211.0ms

Filtered

88 candidates to 64 candidates (27.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	88	4	92

Merged error: 0b

Counts

92 → 4

regimes122.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample838.0ms

Algorithm

intervals

Results

277.0ms	8041×	body	80	valid
222.0ms	7890×	body	80	nan