Details

sample235.0ms

Algorithm

intervals

Results

111.0ms	1504×	body	80	nan
48.0ms	478×	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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

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:

11.0ms	(* (- t 1.0) (log a))
4.0ms	(* y (log z))
77.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
32.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series389.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (- t 1.0) (log a))
43.0ms	(* y (log z))
176.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
116.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify53.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (44.0ms)

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

prune372.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

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

rewrite265.0ms

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:

146.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
5.0ms	(* (log (/ 1 a)) t)
8.0ms	(* y (log (/ 1 z)))
97.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series952.0ms

Counts

4 → 12

Calls

4 calls:

523.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
56.0ms	(* (log (/ 1 a)) t)
42.0ms	(* y (log (/ 1 z)))
331.0ms	(/ (* 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 (25.0ms)

Iter	Nodes	Cost
0	1077	2667
1	5002	2322

prune784.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite492.0ms

Algorithm

rewrite-expression-head

Rules

52×	`log-prod`
46×	`add-sqr-sqrt`
40×	`add-cube-cbrt` `*-un-lft-identity`
39×	`times-frac`
26×	`distribute-rgt-in` `distribute-lft-in`
19×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
15×	`associate-r`
12×	`associate-l`
9×	`log-pow`
6×	`prod-exp` `cbrt-unprod`
5×	`div-inv`
4×	`sqrt-div` `add-log-exp`
3×	`cbrt-undiv` `pow-flip` `associate-r/` `div-exp` `log-rec` `pow-prod-down` `associate-/r` `*-commutative` `associate-/l/` `inv-pow` `unswap-sqr`
2×	`distribute-rgt-neg-out`
1×	`distribute-lft-neg-out` `frac-times` `frac-2neg` `associate-l/` `clear-num` `associate-/l`

Counts

4 → 144

Calls

4 calls:

7.0ms	(* (log (/ 1 a)) t)
7.0ms	(* y (log (/ 1 z)))
7.0ms	(* y (log (/ 1 z)))
465.0ms	(/ (* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

series460.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (log (/ 1 a)) t)
36.0ms	(* y (log (/ 1 z)))
39.0ms	(* y (log (/ 1 z)))
326.0ms	(/ (* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

simplify65.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	549	1627
1	2344	1283
2	5001	1235

prune645.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (/ 1 a)) t)
0.3b	(* y (log (/ 1 z)))
0.3b	(* y (log (/ 1 z)))
0.4b	(* (* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ 1 y))

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

52×	`log-prod`
51×	`add-sqr-sqrt`
49×	`add-exp-log`
45×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
31×	`add-cbrt-cube`
28×	`associate-r`
27×	`prod-exp`
26×	`distribute-rgt-in` `distribute-lft-in`
25×	`pow1`
15×	`cbrt-unprod`
13×	`associate-l`
9×	`pow-prod-down` `log-pow`
8×	`sqrt-div`
7×	`associate-*r/`
6×	`div-exp`
5×	`frac-times` `associate-*l/` `div-inv`
4×	`*-commutative` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `pow-flip` `1-exp` `log-rec` `inv-pow` `unswap-sqr`
2×	`distribute-rgt-neg-out`
1×	`distribute-lft-neg-out` `un-div-inv`

Counts

4 → 169

Calls

4 calls:

11.0ms	(* (log (/ 1 a)) t)
8.0ms	(* y (log (/ 1 z)))
7.0ms	(* y (log (/ 1 z)))
1.9s	(* (* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ 1 y))

series504.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (log (/ 1 a)) t)
38.0ms	(* y (log (/ 1 z)))
42.0ms	(* y (log (/ 1 z)))
357.0ms	(* (* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ 1 y))

simplify91.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	721	2242
1	3330	1590
2	5001	1482

prune608.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes240.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	29
1	31	29

end0.0ms

sample6.8s

Algorithm

intervals

Results

3.2s	45036×	body	80	nan
1.5s	15148×	body	80	valid