Details

sample133.0ms

Algorithm

intervals

Results

50.0ms	922×	body	80	nan
21.0ms	292×	body	80	valid
0.0ms	1×	body	640	valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize21.0ms

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))) (* y i))
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-log-exp`
18×	`add-sqr-sqrt` `sum-log`
16×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
10×	`pow1`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in`
2×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

6.0ms	(+ (+ (* x (log y)) z) t)
15.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
7.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series693.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (+ (* x (log y)) z) t)
552.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
60.0ms	(* (- b 0.5) (log c))
38.0ms	(* x (log y))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	501	698
1	1904	622
2	5003	603

prune327.0ms

Filtered

96 candidates to 64 candidates (66.7%)

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: 0.0b

Counts

97 → 7

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite23.0ms

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:

5.0ms	(* x (log (cbrt y)))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series563.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* x (log (cbrt y)))
103.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
185.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify56.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (47.0ms)

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

prune525.0ms

Filtered

114 candidates to 92 candidates (80.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	114	7	121

Merged error: 0.0b

Counts

121 → 7

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log (pow y 1/3)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

52×	`log-prod`
38×	`distribute-rgt-in` `distribute-lft-in`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-+l+`
15×	`cbrt-prod` `unpow-prod-down`
14×	`associate-+r+`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`sqr-pow`
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-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

6.0ms	(* x (log (pow y 1/3)))
11.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series586.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* x (log (pow y 1/3)))
136.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
188.0ms	(cbrt y)
179.0ms	(pow y 1/3)

simplify68.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	445	770
1	1784	666
2	5001	518

prune575.0ms

Filtered

124 candidates to 94 candidates (75.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	124	7	131

Merged error: 0.0b

Counts

131 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
33×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `add-sqr-sqrt` `associate-+l+`
22×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-+r+`
8×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`flip3--` `associate-r` `frac-add` `flip--`
3×	`associate-l`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

5.0ms	(* x (log y))
18.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series573.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* x (log y))
171.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
181.0ms	(cbrt c)
183.0ms	(cbrt c)

simplify73.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	549	851
1	2155	729
2	5001	698

prune539.0ms

Filtered

111 candidates to 94 candidates (84.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	111	7	118

Merged error: 0.0b

Counts

118 → 7

regimes592.0ms

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	39	17
1	39	17

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.7s	27647×	body	80	nan
573.0ms	9178×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid