Details

sample290.0ms

Algorithm

intervals

Results

152.0ms	1395×	body	80	nan
61.0ms	461×	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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.9b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite120.0ms

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:

10.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
29.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
74.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series383.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (- t 1.0) (log a))
41.0ms	(* y (log z))
114.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
170.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify52.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (44.0ms)

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

prune358.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize19.0ms

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	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
1.9b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite253.0ms

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:

138.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
7.0ms	(* y (log (/ 1 z)))
4.0ms	(* (log (/ 1 a)) t)
93.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series779.0ms

Counts

4 → 12

Calls

4 calls:

337.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
44.0ms	(* y (log (/ 1 z)))
63.0ms	(* (log (/ 1 a)) t)
333.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify48.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1077	2667
1	5002	2322

prune841.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

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	(* y (log (/ 1 z)))
0.3b	(* (log (/ 1 a)) t)
1.9b	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

rewrite520.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
122×	`add-exp-log`
101×	`add-sqr-sqrt`
94×	`associate-r`
81×	`*-un-lft-identity`
80×	`add-cube-cbrt`
69×	`prod-exp`
56×	`div-exp`
55×	`unpow-prod-down`
34×	`add-cbrt-cube`
26×	`log-prod`
20×	`pow-exp`
19×	`pow1`
17×	`exp-sum`
14×	`cbrt-unprod`
13×	`distribute-rgt-in` `rec-exp` `distribute-lft-in` `1-exp` `associate-l`
8×	`div-inv` `unswap-sqr`
6×	`cbrt-undiv` `pow-prod-down` `log-pow`
5×	`pow-to-exp` `sqr-pow`
4×	`associate-r/` `-commutative` `add-log-exp`
2×	`pow-flip` `log-rec` `inv-pow`
1×	`distribute-lft-neg-out` `frac-times` `associate-*l/` `un-div-inv` `distribute-rgt-neg-out`

Counts

4 → 236

Calls

4 calls:

139.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
7.0ms	(* y (log (/ 1 z)))
4.0ms	(* (log (/ 1 a)) t)
356.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

series780.0ms

Counts

4 → 12

Calls

4 calls:

338.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
38.0ms	(* y (log (/ 1 z)))
64.0ms	(* (log (/ 1 a)) t)
339.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

simplify57.0ms

Algorithm

egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1291	3345
1	5002	2893

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* (log (/ 1 a)) t) b))
0.0b	(/ (/ (pow (/ 1 a) 1.0) (* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))) y)
0.3b	(* (log (/ 1 a)) t)
2.2b	(* x (/ (/ (pow (/ 1 a) 1.0) (* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))) y))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

309×	`times-frac`
307×	`add-exp-log`
222×	`div-exp`
122×	`add-sqr-sqrt`
117×	`prod-exp`
115×	`add-cube-cbrt` `*-un-lft-identity`
104×	`pow-exp`
91×	`unpow-prod-down`
70×	`associate-r`
29×	`add-cbrt-cube`
26×	`pow-to-exp` `rec-exp` `1-exp`
21×	`associate-/l*`
16×	`div-inv`
10×	`pow1` `cbrt-undiv`
9×	`associate-l`
7×	`cbrt-unprod` `add-log-exp` `sqr-pow`
3×	`exp-prod` `associate-/r*` `log-pow` `unswap-sqr`
2×	`pow-prod-down` `*-commutative` `rem-exp-log`
1×	`distribute-lft-neg-out` `pow-flip` `frac-2neg` `associate-*r/` `exp-sum` `log-rec` `clear-num` `sum-log` `associate-/l/` `inv-pow`

Counts

4 → 309

Calls

4 calls:

10.0ms	(exp (+ (* (log (/ 1 a)) t) b))
54.0ms	(/ (/ (pow (/ 1 a) 1.0) (* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))) y)
4.0ms	(* (log (/ 1 a)) t)
135.0ms	(* x (/ (/ (pow (/ 1 a) 1.0) (* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))) y))

series792.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(exp (+ (* (log (/ 1 a)) t) b))
335.0ms	(/ (/ (pow (/ 1 a) 1.0) (* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))) y)
58.0ms	(* (log (/ 1 a)) t)
355.0ms	(* x (/ (/ (pow (/ 1 a) 1.0) (* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))) y))

simplify66.0ms

Algorithm

egg-herbie

Counts

321 → 321

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1468	4429
1	5002	4086

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes187.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	15
1	30	15

end0.0ms

sample9.1s

Algorithm

intervals

Results

4.8s	44680×	body	80	nan
2.0s	15081×	body	80	valid