Details

sample196.0ms

Algorithm

intervals

Results

70.0ms	1340×	body	80	nan
29.0ms	474×	body	80	valid

simplify52.0ms

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.3b	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
0.3b	(* y (log z))
0.7b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite474.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

171.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
220.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
8.0ms	(* y (log z))
72.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series506.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
158.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
40.0ms	(* y (log z))
127.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify54.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	404	981
1	1795	794
2	5002	749

prune339.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite528.0ms

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:

202.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)
10.0ms	(* (log (/ 1 a)) t)
289.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
14.0ms	(* y (log (/ 1 z)))

series820.0ms

Counts

4 → 12

Calls

4 calls:

363.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)
61.0ms	(* (log (/ 1 a)) t)
357.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
39.0ms	(* y (log (/ 1 z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1077	2667
1	5002	2317

prune773.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite641.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
96×	`add-sqr-sqrt`
81×	`associate-l`
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-r`
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` `log-rec` `associate-*l/` `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:

257.0ms	(/ (* (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) x) y)
10.0ms	(* (log (/ 1 a)) t)
346.0ms	(* (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) x)
17.0ms	(* y (log (/ 1 z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

544.0ms	(/ (* (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) x) y)
64.0ms	(* (log (/ 1 a)) t)
553.0ms	(* (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))) x)
45.0ms	(* y (log (/ 1 z)))

simplify103.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	974	2618
1	3845	2298
2	5002	2242

prune879.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* (log (/ 1 a)) t) b))
0.2b	(* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))
0.3b	(* (log (/ 1 a)) t)
0.7b	(* x (/ (/ (pow (/ 1 a) 1.0) (* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))) y))

rewrite423.0ms

Algorithm

rewrite-expression-head

Rules

185×	`add-exp-log`
153×	`times-frac`
113×	`div-exp`
87×	`associate-r` `prod-exp`
83×	`add-sqr-sqrt`
67×	`*-un-lft-identity`
66×	`add-cube-cbrt`
56×	`pow-exp`
55×	`unpow-prod-down`
22×	`add-cbrt-cube`
14×	`pow-to-exp` `rec-exp` `1-exp`
13×	`associate-l`
10×	`pow1`
8×	`div-inv` `unswap-sqr`
7×	`cbrt-unprod` `add-log-exp`
5×	`cbrt-undiv` `sqr-pow`
3×	`exp-prod` `log-pow` `*-commutative`
2×	`exp-sum` `pow-prod-down` `rem-exp-log`
1×	`distribute-lft-neg-out` `pow-flip` `associate-*r/` `log-rec` `sum-log` `inv-pow`

Counts

4 → 206

Calls

4 calls:

23.0ms	(exp (+ (* (log (/ 1 a)) t) b))
105.0ms	(* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))
10.0ms	(* (log (/ 1 a)) t)
272.0ms	(* x (/ (/ (pow (/ 1 a) 1.0) (* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))) y))

series635.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(exp (+ (* (log (/ 1 a)) t) b))
139.0ms	(* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))
58.0ms	(* (log (/ 1 a)) t)
394.0ms	(* x (/ (/ (pow (/ 1 a) 1.0) (* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))) y))

simplify50.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1350	2562
1	5001	2333

prune738.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes256.0ms

Accuracy

0% (1.2b 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

sample5.9s

Algorithm

intervals

Results

2.2s	44858×	body	80	nan
905.0ms	15172×	body	80	valid