Details

sample223.0ms

Algorithm

intervals

Results

99.0ms	1437×	body	80	nan
40.0ms	468×	body	80	valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	32	10
1	65	10
2	181	8
3	522	8
4	2203	8
5	5002	8

prune10.0ms

Filtered

1 candidates to 1 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 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
3×	`times-frac` `exp-sum` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `sum-log` `flip--` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 95

Calls

4 calls:

7.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
6.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
11.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series361.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (- t 1.0) (log a))
38.0ms	(* y (log z))
109.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
161.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify53.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	493	869
1	2033	715
2	5001	683

prune294.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	104	5	109

Merged error: 0b

Counts

109 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.3b	(* (pow a (- t 1.0)) (pow z y))
1.1b	(/ x (* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b)))
1.3b	(* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-exp-log`
49×	`prod-exp`
32×	`div-exp`
31×	`add-sqr-sqrt`
29×	`add-cbrt-cube`
19×	`pow-to-exp` `pow-exp`
17×	`-un-lft-identity` `associate-l*`
15×	`add-cube-cbrt` `unpow-prod-down`
10×	`associate-r` `unswap-sqr`
9×	`cbrt-unprod` `sqr-pow`
8×	`cbrt-undiv`
7×	`pow1`
6×	`times-frac`
5×	`pow-unpow`
4×	`unpow-prod-up` `associate-*l/` `add-log-exp`
3×	`associate-/l*` `pow-sub`
2×	`sub-neg` `associate-/r/` `*-commutative` `div-inv`
1×	`pow-pow` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 136

Calls

4 calls:

4.0ms	(pow a (- t 1.0))
7.0ms	(* (pow a (- t 1.0)) (pow z y))
11.0ms	(/ x (* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b)))
11.0ms	(* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b))

series578.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(pow a (- t 1.0))
128.0ms	(* (pow a (- t 1.0)) (pow z y))
205.0ms	(/ x (* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b)))
189.0ms	(* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b))

simplify88.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	706	1235
1	3208	1069
2	5001	1063

prune367.0ms

Filtered

148 candidates to 93 candidates (62.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	148	5	153

Merged error: 0b

Counts

153 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow a (- t 1.0))
0.3b	(* (pow a (- t 1.0)) (pow z y))
1.5b	(/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b))
1.8b	(/ (/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b)) y)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-exp-log`
47×	`prod-exp`
42×	`add-sqr-sqrt`
36×	`times-frac`
34×	`div-exp`
30×	`*-un-lft-identity`
29×	`add-cbrt-cube`
28×	`add-cube-cbrt`
19×	`pow-to-exp` `pow-exp`
15×	`unpow-prod-down`
10×	`cbrt-undiv`
9×	`associate-l` `unswap-sqr` `sqr-pow`
8×	`associate-/l*`
7×	`associate-r` `cbrt-unprod`
6×	`associate-/r*` `div-inv`
5×	`pow1` `pow-unpow`
4×	`unpow-prod-up` `add-log-exp`
3×	`pow-sub`
2×	`sub-neg` `frac-2neg` `associate-*l/` `clear-num` `associate-/l/`
1×	`pow-pow` `associate-r/` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 156

Calls

4 calls:

4.0ms	(pow a (- t 1.0))
12.0ms	(* (pow a (- t 1.0)) (pow z y))
11.0ms	(/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b))
11.0ms	(/ (/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b)) y)

series639.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(pow a (- t 1.0))
130.0ms	(* (pow a (- t 1.0)) (pow z y))
217.0ms	(/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b))
234.0ms	(/ (/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b)) y)

simplify103.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	753	1566
1	3730	1393
2	5001	1374

prune441.0ms

Filtered

168 candidates to 112 candidates (66.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	168	5	173

Merged error: 0b

Counts

173 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.9b	(/ (/ (/ (/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b)) (cbrt y)) (cbrt y)) (cbrt y))
1.5b	(/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

6135×	`times-frac`
2697×	`cbrt-prod`
2355×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
303×	`div-inv`
281×	`associate-/l*`
94×	`add-exp-log`
61×	`div-exp`
38×	`prod-exp`
25×	`add-cbrt-cube`
21×	`cbrt-undiv`
12×	`pow-to-exp` `pow-exp`
9×	`associate-/r*`
6×	`cbrt-unprod`
4×	`pow1` `add-log-exp`
2×	`frac-2neg` `pow1/3` `clear-num` `associate-/l/`
1×	`associate-r/` `associate-l/` `pow-sub`

Counts

4 → 2051

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
88.0ms	(/ (/ (/ (/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b)) (cbrt y)) (cbrt y)) (cbrt y))
15.0ms	(/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b))

series851.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt y)
180.0ms	(cbrt y)
272.0ms	(/ (/ (/ (/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b)) (cbrt y)) (cbrt y)) (cbrt y))
216.0ms	(/ (* x (* (pow a (- t 1.0)) (pow z y))) (exp b))

simplify464.0ms

Algorithm

egg-herbie

Counts

2063 → 2063

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5001	54579

prune10.4s

Filtered

2063 candidates to 1911 candidates (92.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	2063	0	2063
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	2063	5	2068

Merged error: 0b

Counts

2068 → 5

regimes357.0ms

Accuracy

0% (1.8b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	10
1	21	10

end0.0ms

sample6.6s

Algorithm

intervals

Results

3.0s	45269×	body	80	nan
1.2s	15287×	body	80	valid

Details

sample223.0ms

simplify53.0ms

prune10.0ms

localize16.0ms

rewrite31.0ms

series361.0ms

simplify53.0ms

prune294.0ms

localize14.0ms

rewrite38.0ms

series578.0ms

simplify88.0ms

prune367.0ms

localize14.0ms

rewrite44.0ms

series639.0ms

simplify103.0ms

prune441.0ms

localize18.0ms

rewrite339.0ms

series851.0ms

simplify464.0ms

prune10.4s

regimes357.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.6s

Profiling