Details

sample175.0ms

Algorithm

intervals

Results

75.0ms	1446×	body	80	nan
29.0ms	465×	body	80	valid

simplify48.0ms

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: 0.3b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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))
4.0ms	(* y (log z))
10.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
7.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series360.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (- t 1.0) (log a))
35.0ms	(* y (log z))
161.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
108.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

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

prune357.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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

rewrite72.0ms

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:

31.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
6.0ms	(* y (log (/ 1 z)))
4.0ms	(* (log (/ 1 a)) t)
20.0ms	(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series762.0ms

Counts

4 → 12

Calls

4 calls:

348.0ms	(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
36.0ms	(* y (log (/ 1 z)))
60.0ms	(* (log (/ 1 a)) t)
317.0ms	(/ (* 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

prune831.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

273×	`add-exp-log`
146×	`div-exp`
98×	`prod-exp`
43×	`pow-exp`
39×	`add-cbrt-cube`
32×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `log-prod` `*-un-lft-identity`
21×	`times-frac`
16×	`pow1`
15×	`associate-l`
14×	`pow-to-exp`
13×	`distribute-rgt-in` `distribute-lft-in` `cbrt-unprod`
12×	`cbrt-undiv` `associate-r`
10×	`1-exp`
9×	`log-pow`
4×	`add-log-exp`
3×	`pow-flip` `associate-r/` `log-rec` `pow-prod-down` `associate-/r` `*-commutative` `div-inv` `associate-/l/` `inv-pow` `unswap-sqr`
2×	`distribute-lft-neg-out`
1×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `distribute-rgt-neg-out` `associate-/l`

Counts

4 → 165

Calls

4 calls:

6.0ms	(* y (log (/ 1 z)))
5.0ms	(* (log (/ 1 a)) t)
4.0ms	(* (log (/ 1 a)) t)
47.0ms	(/ (* (* x (/ (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (pow (/ (cbrt 1) a) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

series500.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* y (log (/ 1 z)))
55.0ms	(* (log (/ 1 a)) t)
60.0ms	(* (log (/ 1 a)) t)
331.0ms	(/ (* (* x (/ (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (pow (/ (cbrt 1) a) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

simplify102.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	997	3465
1	3910	2941
2	5003	2927

prune754.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

1500×	`times-frac`
670×	`add-sqr-sqrt`
664×	`add-cube-cbrt` `*-un-lft-identity`
574×	`associate-r`
462×	`unpow-prod-down`
312×	`sqrt-prod`
307×	`add-exp-log`
189×	`cbrt-prod`
156×	`div-exp`
117×	`prod-exp`
78×	`exp-sum`
48×	`pow-exp`
46×	`add-cbrt-cube`
27×	`div-inv`
26×	`log-prod`
21×	`pow1` `sqr-pow`
18×	`cbrt-unprod`
16×	`associate-l`
15×	`pow-to-exp`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`cbrt-undiv` `1-exp`
9×	`log-pow`
6×	`pow-prod-down`
4×	`*-commutative` `add-log-exp`
3×	`pow-flip` `associate-*r/` `log-rec` `inv-pow` `unswap-sqr`
2×	`distribute-lft-neg-out`
1×	`frac-times` `associate-*l/` `distribute-rgt-neg-out`

Counts

4 → 731

Calls

4 calls:

7.0ms	(* y (log (/ 1 z)))
5.0ms	(* (log (/ 1 a)) t)
5.0ms	(* (log (/ 1 a)) t)
132.0ms	(* (* x (/ (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (/ (pow (/ (cbrt 1) a) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))

series511.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* y (log (/ 1 z)))
59.0ms	(* (log (/ 1 a)) t)
66.0ms	(* (log (/ 1 a)) t)
342.0ms	(* (* x (/ (pow (/ (* (cbrt 1) (cbrt 1)) 1) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (/ (pow (/ (cbrt 1) a) 1.0) (sqrt (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))

simplify203.0ms

Algorithm

egg-herbie

Counts

743 → 743

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5001	23375

prune4.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes290.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	74
1	47	74

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.4s	44920×	body	80	nan
938.0ms	14976×	body	80	valid