Details

sample195.0ms

Algorithm

intervals

Results

86.0ms	1519×	body	80	nan
33.0ms	510×	body	80	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.6b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite34.0ms

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))
7.0ms	(* 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))

series370.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (- t 1.0) (log a))
36.0ms	(* y (log z))
164.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
112.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify54.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (46.0ms)

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

prune365.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 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)))
0.6b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite69.0ms

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)))))
4.0ms	(* (log (/ 1 a)) t)
6.0ms	(* y (log (/ 1 z)))
20.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series736.0ms

Counts

4 → 12

Calls

4 calls:

318.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
58.0ms	(* (log (/ 1 a)) t)
37.0ms	(* y (log (/ 1 z)))
322.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify47.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1077	2667
1	5002	2322

prune797.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 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)))
0.6b	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

rewrite79.0ms

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:

31.0ms	(* 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)))
24.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

series824.0ms

Counts

4 → 12

Calls

4 calls:

374.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
58.0ms	(* (log (/ 1 a)) t)
36.0ms	(* y (log (/ 1 z)))
355.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))

simplify56.0ms

Algorithm

egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1291	3345
1	5002	2893

prune841.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))
0.6b	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))
1.5b	(sqrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))
1.5b	(sqrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

204×	`add-exp-log`
120×	`prod-exp`
96×	`div-exp`
46×	`add-cbrt-cube`
32×	`pow-exp`
26×	`pow1` `associate-r`
24×	`rec-exp` `1-exp`
20×	`cbrt-unprod`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
12×	`associate-*r/` `pow-prod-down`
10×	`cbrt-undiv`
8×	`pow-to-exp` `sqrt-div`
6×	`sqrt-pow1`
4×	`frac-times` `associate-*l/` `un-div-inv` `add-log-exp`
2×	`pow1/2` `associate-l` `sqrt-prod` `*-commutative` `div-inv`

Counts

4 → 164

Calls

4 calls:

27.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))
24.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))
19.0ms	(sqrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))
32.0ms	(sqrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

343.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))
349.0ms	(* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y))
268.0ms	(sqrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))
270.0ms	(sqrt (* (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (/ 1 y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	675	3078
1	2837	2556
2	5001	2376

prune584.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes218.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	15
1	30	15

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.6s	46504×	body	80	nan
1.0s	15230×	body	80	valid