Details

sample243.0ms

Algorithm

intervals

Results

86.0ms	1341×	body	80	nan
35.0ms	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

prune21.0ms

Filtered

1 candidates to 1 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: 0.2b

Counts

2 → 2

localize16.0ms

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))

rewrite32.0ms

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))
12.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
7.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series418.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (- t 1.0) (log a))
46.0ms	(* y (log z))
176.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
125.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify56.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	492	869
1	2033	708
2	5002	676

prune957.0ms

Filtered

107 candidates to 75 candidates (29.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	103	6	109

Merged error: 0b

Counts

109 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
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)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
96×	`add-sqr-sqrt`
81×	`associate-r`
76×	`*-un-lft-identity`
75×	`add-cube-cbrt`
55×	`unpow-prod-down`
45×	`add-exp-log`
26×	`log-prod`
24×	`div-exp`
22×	`add-cbrt-cube`
17×	`exp-sum`
16×	`prod-exp`
14×	`pow1`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-l`
8×	`pow-exp` `div-inv` `unswap-sqr`
6×	`log-pow` `cbrt-unprod`
5×	`cbrt-undiv` `sqr-pow`
4×	`add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative`
2×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `associate-*r/` `log-rec` `inv-pow`
1×	`distribute-lft-neg-out` `frac-2neg` `clear-num` `distribute-rgt-neg-out` `associate-/l/` `associate-/l*`

Counts

4 → 199

Calls

4 calls:

28.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
5.0ms	(* (log (/ 1 a)) t)
7.0ms	(* y (log (/ 1 z)))
22.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series843.0ms

Counts

4 → 12

Calls

4 calls:

359.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
72.0ms	(* (log (/ 1 a)) t)
46.0ms	(* y (log (/ 1 z)))
365.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify51.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1077	2667
1	5001	2322

prune3.1s

Filtered

211 candidates to 145 candidates (31.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	211	0	211
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	211	6	217

Merged error: 0b

Counts

217 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
0.1b	(pow a (- t 1.0))
0.3b	(* (pow a (- t 1.0)) (pow z y))
1.0b	(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-exp-log`
86×	`prod-exp`
40×	`div-exp`
36×	`add-cbrt-cube`
31×	`pow-to-exp` `pow-exp`
28×	`add-sqr-sqrt`
15×	`unpow-prod-down`
14×	`*-un-lft-identity` `cbrt-unprod`
12×	`add-cube-cbrt` `associate-r` `associate-l`
10×	`unswap-sqr`
9×	`sqr-pow`
8×	`cbrt-undiv`
7×	`pow1`
5×	`pow-unpow`
4×	`unpow-prod-up` `add-log-exp`
3×	`pow-sub`
2×	`sub-neg` `times-frac` `associate-l/` `-commutative` `div-inv`
1×	`pow-pow` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `associate-/l/` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 149

Calls

4 calls:

12.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
4.0ms	(pow a (- t 1.0))
7.0ms	(* (pow a (- t 1.0)) (pow z y))
11.0ms	(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

series698.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
69.0ms	(pow a (- t 1.0))
138.0ms	(* (pow a (- t 1.0)) (pow z y))
249.0ms	(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

simplify96.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	679	1404
1	3373	1202
2	5001	1174

prune716.0ms

Filtered

161 candidates to 87 candidates (46.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	162	5	167

Merged error: 0b

Counts

167 → 5

localize14.0ms

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))
1.0b	(/ x (* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b)))
2.0b	(* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b))

rewrite39.0ms

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))
12.0ms	(/ 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))

series648.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(pow a (- t 1.0))
137.0ms	(* (pow a (- t 1.0)) (pow z y))
226.0ms	(/ x (* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b)))
212.0ms	(* (/ y (* (pow a (- t 1.0)) (pow z y))) (exp b))

simplify86.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (72.0ms)

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

prune957.0ms

Filtered

148 candidates to 93 candidates (37.2%)

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

regimes798.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	14
1	28	14

end0.0ms

sample7.5s

Algorithm

intervals

Results

2.7s	45039×	body	80	nan
1.1s	15066×	body	80	valid

Details

sample243.0ms

simplify53.0ms

prune21.0ms

localize16.0ms

rewrite32.0ms

series418.0ms

simplify56.0ms

prune957.0ms

localize20.0ms

rewrite72.0ms

series843.0ms

simplify51.0ms

prune3.1s

localize13.0ms

rewrite40.0ms

series698.0ms

simplify96.0ms

prune716.0ms

localize14.0ms

rewrite39.0ms

series648.0ms

simplify86.0ms

prune957.0ms

regimes798.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.5s

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