Details

sample118.0ms

Algorithm

intervals

Results

43.0ms	805×	body	80	nan
21.0ms	293×	body	80	valid
0.0ms	1×	body	320	valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	11
1	101	11
2	428	11
3	1514	11
4	4620	11
5	5001	11

prune4.0ms

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: 0.1b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x (log y)) z) t)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

6.0ms	(+ (+ (* x (log y)) z) t)
13.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
7.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series375.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (+ (* x (log y)) z) t)
229.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
59.0ms	(* (- b 0.5) (log c))
41.0ms	(* x (log y))

simplify65.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	617	865
1	2560	804
2	5003	793

prune388.0ms

Filtered

105 candidates to 75 candidates (71.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	97	8	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	8	106

Merged error: 0.0b

Counts

106 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (- b 0.5) (log (sqrt c))))
0.2b	(* (log (sqrt c)) (- b 0.5))
0.2b	(* (- b 0.5) (log (sqrt c)))
0.3b	(* x (log y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 131

Calls

4 calls:

19.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (- b 0.5) (log (sqrt c))))
7.0ms	(* (log (sqrt c)) (- b 0.5))
10.0ms	(* (- b 0.5) (log (sqrt c)))
5.0ms	(* x (log y))

series477.0ms

Counts

4 → 12

Calls

4 calls:

307.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (* (- b 0.5) (log (sqrt c))))
69.0ms	(* (log (sqrt c)) (- b 0.5))
63.0ms	(* (- b 0.5) (log (sqrt c)))
38.0ms	(* x (log y))

simplify124.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	987	2048
1	4768	1893
2	5002	1864

prune585.0ms

Filtered

143 candidates to 94 candidates (65.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	144	7	151

Merged error: 0.0b

Counts

151 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

6.0ms	(* x (log (cbrt y)))
12.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series547.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* x (log (cbrt y)))
104.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
170.0ms	(cbrt y)
180.0ms	(cbrt y)

simplify54.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	345	729
1	1431	634
2	5001	547

prune599.0ms

Filtered

114 candidates to 92 candidates (80.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	115	6	121

Merged error: 0.0b

Counts

121 → 6

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

66×	`log-prod`
59×	`distribute-rgt-in` `distribute-lft-in`
31×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
28×	`associate-+r+`
24×	`associate-+l+`
21×	`unpow-prod-down`
15×	`cbrt-prod`
7×	`pow1` `add-exp-log` `sqr-pow`
6×	`add-cbrt-cube` `add-log-exp`
4×	`associate-r`
3×	`pow-unpow` `associate-l`
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-+` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

6.0ms	(* x (log (pow y 1/3)))
12.0ms	(+ (* x (* 2 (log (cbrt y)))) (* 1 (* x (log (pow y 1/3)))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series569.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* x (log (pow y 1/3)))
134.0ms	(+ (* x (* 2 (log (cbrt y)))) (* 1 (* x (log (pow y 1/3)))))
182.0ms	(cbrt y)
171.0ms	(pow y 1/3)

simplify72.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	527	945
1	2161	761
2	5002	632

prune724.0ms

Filtered

137 candidates to 106 candidates (77.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	138	5	143

Merged error: 0.0b

Counts

143 → 5

regimes481.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	21
1	51	21
2	51	21

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.7s	27584×	body	80	nan
588.0ms	9166×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	valid