Details

sample155.0ms

Algorithm

intervals

Results

70.0ms	785×	body	80	nan
26.0ms	292×	body	80	valid

simplify75.0ms

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

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-log-exp`
25×	`sum-log`
20×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
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--` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

16.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
14.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
9.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series868.0ms

Counts

4 → 12

Calls

4 calls:

535.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
234.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
60.0ms	(* (- b 0.5) (log c))
39.0ms	(* x (log y))

simplify69.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	647	1027
1	2625	970
2	5001	952

prune368.0ms

Filtered

107 candidates to 74 candidates (69.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	100	7	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	7	108

Merged error: 0.0b

Counts

108 → 7

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.2b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.5b	(cbrt c)
0.5b	(cbrt c)

rewrite26.0ms

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))
14.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series601.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* x (log y))
179.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
203.0ms	(cbrt c)
180.0ms	(cbrt c)

simplify66.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (56.0ms)

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

prune544.0ms

Filtered

111 candidates to 94 candidates (84.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	112	6	118

Merged error: 0.0b

Counts

118 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (pow (/ 1 c) -1/3)) (- (* 3 b) 1.5))) (* y i))
0.2b	(* x (log y))
0.3b	(* (log (pow (/ 1 c) -1/3)) (- (* 3 b) 1.5))
5.2b	(pow (/ 1 c) -1/3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-log-exp`
22×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
15×	`sum-log`
13×	`add-exp-log` `unpow-prod-down`
11×	`pow1`
9×	`times-frac`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`log-prod`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow-exp`
3×	`pow-unpow` `pow-pow`
2×	`sub-neg` `associate-r/` `div-exp` `pow-prod-down` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `rec-exp` `associate-+l+` `flip3--` `pow-flip` `flip3-+` `1-exp` `flip--` `flip-+` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 98

Calls

4 calls:

16.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (pow (/ 1 c) -1/3)) (- (* 3 b) 1.5))) (* y i))
5.0ms	(* x (log y))
7.0ms	(* (log (pow (/ 1 c) -1/3)) (- (* 3 b) 1.5))
5.0ms	(pow (/ 1 c) -1/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

857.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (pow (/ 1 c) -1/3)) (- (* 3 b) 1.5))) (* y i))
39.0ms	(* x (log y))
175.0ms	(* (log (pow (/ 1 c) -1/3)) (- (* 3 b) 1.5))
182.0ms	(pow (/ 1 c) -1/3)

simplify70.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	590	877
1	2393	754
2	5001	709

prune397.0ms

Filtered

110 candidates to 72 candidates (65.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	110	6	116

Merged error: 0.0b

Counts

116 → 6

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.2b	(* (* (log c) -1/3) 1.5)
0.3b	(* (log c) b)
0.4b	(* (log c) -1/3)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`pow1`
15×	`add-exp-log` `add-cbrt-cube`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`associate-l`
6×	`log-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`*-commutative` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `log-pow` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* x (log y))
5.0ms	(* (* (log c) -1/3) 1.5)
4.0ms	(* (log c) b)
4.0ms	(* (log c) -1/3)

series406.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* x (log y))
149.0ms	(* (* (log c) -1/3) 1.5)
64.0ms	(* (log c) b)
147.0ms	(* (log c) -1/3)

simplify99.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	295	362
1	1228	312
2	3960	293
3	5001	293

prune255.0ms

Filtered

93 candidates to 55 candidates (59.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	93	6	99

Merged error: 0.0b

Counts

99 → 6

regimes578.0ms

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	36	18
1	36	18

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.1s	27574×	body	80	nan
797.0ms	9194×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid

Details

sample155.0ms

simplify75.0ms

prune4.0ms

localize19.0ms

rewrite47.0ms

series868.0ms

simplify69.0ms

prune368.0ms

localize28.0ms

rewrite26.0ms

series601.0ms

simplify66.0ms

prune544.0ms

localize28.0ms

rewrite35.0ms

series1.3s

simplify70.0ms

prune397.0ms

localize27.0ms

rewrite20.0ms

series406.0ms

simplify99.0ms

prune255.0ms

regimes578.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.5s

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