Details

sample225.0ms

Algorithm

intervals

Results

100.0ms	1394×	body	80	nan
43.0ms	474×	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

prune11.0ms

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

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite33.0ms

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))
5.0ms	(* y (log z))
11.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
7.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series380.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (- t 1.0) (log a))
35.0ms	(* y (log z))
167.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
117.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify55.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (45.0ms)

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

prune301.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	105	4	109

Merged error: 0.0b

Counts

109 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(log (/ 1 z))
0.3b	(* (log (/ 1 a)) t)
0.3b	(* y (log (/ 1 z)))
0.8b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

39×	`log-prod`
36×	`add-exp-log`
35×	`add-sqr-sqrt`
31×	`add-cube-cbrt` `*-un-lft-identity`
30×	`times-frac`
18×	`div-exp`
17×	`add-cbrt-cube`
14×	`pow1`
13×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-r` `associate-l` `prod-exp` `log-pow`
4×	`cbrt-undiv` `rem-log-exp` `pow-exp` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`pow-flip` `log-rec` `associate-/r*` `inv-pow`
2×	`rec-exp` `1-exp` `pow-prod-down` `*-commutative` `unswap-sqr`
1×	`distribute-lft-neg-out` `pow-to-exp` `log-div` `frac-2neg` `associate-r/` `clear-num` `distribute-rgt-neg-out` `associate-/l/` `associate-/l`

Counts

4 → 128

Calls

4 calls:

3.0ms	(log (/ 1 z))
4.0ms	(* (log (/ 1 a)) t)
7.0ms	(* y (log (/ 1 z)))
20.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series555.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(log (/ 1 z))
65.0ms	(* (log (/ 1 a)) t)
39.0ms	(* y (log (/ 1 z)))
333.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify75.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	621	1188
1	2669	990
2	5001	952

prune384.0ms

Filtered

140 candidates to 86 candidates (61.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	139	5	144

Merged error: 0b

Counts

144 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow a (- t 1.0))
0.3b	(/ (pow a (- t 1.0)) (exp b))
1.2b	(* (/ x y) (pow z y))
4.9b	(* (* (/ x y) (pow z y)) (/ (pow a (- t 1.0)) (exp b)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-exp-log`
66×	`times-frac`
64×	`add-sqr-sqrt`
58×	`prod-exp`
51×	`*-un-lft-identity`
49×	`add-cube-cbrt`
39×	`div-exp`
38×	`associate-r`
32×	`add-cbrt-cube`
29×	`unpow-prod-down`
19×	`pow-to-exp` `pow-exp`
16×	`unpow-prod-up`
14×	`associate-l`
12×	`cbrt-unprod`
11×	`sqr-pow`
9×	`associate-/l*`
8×	`sub-neg`
7×	`pow1` `cbrt-undiv`
6×	`unswap-sqr`
5×	`pow-unpow`
4×	`associate-*l/` `add-log-exp`
3×	`associate-/r*` `div-inv`
2×	`*-commutative` `pow-sub`
1×	`frac-times` `pow-pow` `frac-2neg` `associate-*r/` `pow-prod-down` `clear-num` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 197

Calls

4 calls:

4.0ms	(pow a (- t 1.0))
6.0ms	(/ (pow a (- t 1.0)) (exp b))
8.0ms	(* (/ x y) (pow z y))
15.0ms	(* (* (/ x y) (pow z y)) (/ (pow a (- t 1.0)) (exp b)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(pow a (- t 1.0))
81.0ms	(/ (pow a (- t 1.0)) (exp b))
54.0ms	(* (/ x y) (pow z y))
221.0ms	(* (* (/ x y) (pow z y)) (/ (pow a (- t 1.0)) (exp b)))

simplify119.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	892	1684
1	4649	1527
2	5001	1525

prune689.0ms

Filtered

209 candidates to 134 candidates (64.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	209	5	214

Merged error: 0b

Counts

214 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow a (- t 1.0))
0.3b	(* (pow a (- t 1.0)) (pow z y))
2.1b	(* (/ (/ y x) (* (pow a (- t 1.0)) (pow z y))) (exp b))
3.8b	(/ (/ y x) (* (pow a (- t 1.0)) (pow z y)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

130×	`add-exp-log`
66×	`prod-exp`
60×	`div-exp`
53×	`times-frac`
49×	`add-sqr-sqrt`
36×	`add-cbrt-cube`
35×	`*-un-lft-identity`
33×	`add-cube-cbrt`
31×	`pow-to-exp` `pow-exp`
27×	`associate-l`
15×	`unpow-prod-down`
13×	`associate-/l*`
12×	`cbrt-undiv`
10×	`associate-r` `cbrt-unprod` `unswap-sqr`
9×	`sqr-pow`
7×	`pow1`
5×	`pow-unpow` `div-inv`
4×	`unpow-prod-up` `associate-*l/` `pow-sub` `add-log-exp`
2×	`sub-neg` `associate-/r/` `*-commutative`
1×	`pow-pow` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r*` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 187

Calls

4 calls:

4.0ms	(pow a (- t 1.0))
7.0ms	(* (pow a (- t 1.0)) (pow z y))
14.0ms	(* (/ (/ y x) (* (pow a (- t 1.0)) (pow z y))) (exp b))
13.0ms	(/ (/ y x) (* (pow a (- t 1.0)) (pow z y)))

series549.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(pow a (- t 1.0))
118.0ms	(* (pow a (- t 1.0)) (pow z y))
205.0ms	(* (/ (/ y x) (* (pow a (- t 1.0)) (pow z y))) (exp b))
167.0ms	(/ (/ y x) (* (pow a (- t 1.0)) (pow z y)))

simplify99.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	835	1620
1	3781	1439
2	5001	1433

prune455.0ms

Filtered

199 candidates to 121 candidates (60.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	199	5	204

Merged error: 0b

Counts

204 → 5

regimes256.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	14
1	28	14

end0.0ms

sample6.6s

Algorithm

intervals

Results

3.1s	46106×	body	80	nan
1.3s	15412×	body	80	valid