Details

sample179.0ms

Algorithm

intervals

Results

75.0ms	1349×	body	80	nan
31.0ms	475×	body	80	valid

simplify50.0ms

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

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.2b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
2.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite131.0ms

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))
32.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
81.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series386.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (- t 1.0) (log a))
43.0ms	(* y (log z))
118.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
170.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify55.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (46.0ms)

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

prune363.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

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	(* (log (/ 1 a)) t)
0.3b	(* y (log (/ 1 z)))
2.8b	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite282.0ms

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:

154.0ms	(* 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)))
102.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series794.0ms

Counts

4 → 12

Calls

4 calls:

348.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
58.0ms	(* (log (/ 1 a)) t)
46.0ms	(* y (log (/ 1 z)))
341.0ms	(/ (* 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 (27.0ms)

Iter	Nodes	Cost
0	1077	2667
1	5002	2322

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (pow (/ 1 a) (/ 1.0 2)) x)
0.3b	(* y (log (/ 1 z)))
2.8b	(* (* (pow (/ 1 a) (/ 1.0 2)) x) (/ (pow (/ 1 a) (/ 1.0 2)) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
2.8b	(/ (* (* (pow (/ 1 a) (/ 1.0 2)) x) (/ (pow (/ 1 a) (/ 1.0 2)) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

349×	`add-exp-log`
192×	`div-exp`
189×	`prod-exp`
136×	`times-frac`
116×	`pow-exp`
93×	`add-sqr-sqrt`
82×	`*-un-lft-identity`
81×	`add-cube-cbrt` `associate-r`
68×	`unpow-prod-down`
38×	`add-cbrt-cube`
29×	`pow-to-exp` `rec-exp` `1-exp`
26×	`log-prod`
21×	`associate-l`
17×	`exp-sum`
14×	`cbrt-unprod`
13×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1`
9×	`cbrt-undiv` `div-inv`
6×	`unswap-sqr` `sqr-pow`
4×	`add-log-exp`
3×	`associate-/r` `log-pow` `-commutative`
2×	`associate-*r/` `pow-prod-down`
1×	`pow-flip` `frac-2neg` `log-rec` `clear-num` `distribute-rgt-neg-out` `associate-/l/` `associate-/l*` `inv-pow`

Counts

4 → 297

Calls

4 calls:

16.0ms	(* (pow (/ 1 a) (/ 1.0 2)) x)
8.0ms	(* y (log (/ 1 z)))
152.0ms	(* (* (pow (/ 1 a) (/ 1.0 2)) x) (/ (pow (/ 1 a) (/ 1.0 2)) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
119.0ms	(/ (* (* (pow (/ 1 a) (/ 1.0 2)) x) (/ (pow (/ 1 a) (/ 1.0 2)) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series992.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (pow (/ 1 a) (/ 1.0 2)) x)
42.0ms	(* y (log (/ 1 z)))
382.0ms	(* (* (pow (/ 1 a) (/ 1.0 2)) x) (/ (pow (/ 1 a) (/ 1.0 2)) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
383.0ms	(/ (* (* (pow (/ 1 a) (/ 1.0 2)) x) (/ (pow (/ 1 a) (/ 1.0 2)) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify74.0ms

Algorithm

egg-herbie

Counts

309 → 309

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1519	5138
1	5001	4639

prune957.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ (pow (/ 1 a) 1.0) (* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))) y)
0.3b	(* (log (/ 1 a)) t)
0.4b	(* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))
1.3b	(* x (/ (/ (pow (/ 1 a) 1.0) (* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))) y))

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

320×	`times-frac`
313×	`add-exp-log`
224×	`div-exp`
140×	`add-sqr-sqrt`
124×	`*-un-lft-identity`
123×	`add-cube-cbrt` `prod-exp`
108×	`pow-exp`
107×	`unpow-prod-down`
87×	`associate-r`
31×	`add-cbrt-cube`
27×	`pow-to-exp` `rec-exp` `1-exp`
21×	`associate-/l*`
17×	`div-inv`
13×	`associate-l`
10×	`pow1` `cbrt-undiv`
9×	`sqr-pow`
8×	`cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`associate-/r` `log-pow` `-commutative`
2×	`pow-prod-down`
1×	`distribute-lft-neg-out` `pow-flip` `frac-2neg` `associate-*r/` `exp-sum` `log-rec` `clear-num` `associate-/l/` `inv-pow`

Counts

4 → 337

Calls

4 calls:

58.0ms	(/ (/ (pow (/ 1 a) 1.0) (* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))) y)
5.0ms	(* (log (/ 1 a)) t)
56.0ms	(* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))
150.0ms	(* x (/ (/ (pow (/ 1 a) 1.0) (* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))) y))

series897.0ms

Counts

4 → 12

Calls

4 calls:

346.0ms	(/ (/ (pow (/ 1 a) 1.0) (* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))) y)
65.0ms	(* (log (/ 1 a)) t)
123.0ms	(* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))
362.0ms	(* x (/ (/ (pow (/ 1 a) 1.0) (* (exp (+ (* (log (/ 1 a)) t) b)) (pow (/ 1 z) y))) y))

simplify78.0ms

Algorithm

egg-herbie

Counts

349 → 349

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1581	4899
1	5002	4441

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes274.0ms

Accuracy

-96.2% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 1.2b

bsearch245.0ms

Steps

Iters	Range		Point
7	3.391044211940391e-239	5.359330465458354e-237	1.2486298280538037e-238
5	-9.782291901602045e-228	-4.417715873116556e-228	-4.5635779643842805e-228

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	36
1	53	36

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.4s	45637×	body	80	nan
1.0s	15277×	body	80	valid