Details

sample174.0ms

Algorithm

intervals

Results

73.0ms	1270×	body	80	nan
23.0ms	371×	body	80	valid
4.0ms	11×	body	640	valid
4.0ms	16×	body	320	valid
3.0ms	4×	body	1280	valid
1.0ms	6×	body	160	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	10
1	58	10
2	129	10
3	318	10
4	1073	10
5	5001	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.1b	(* y (- (log z) t))
1.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.1b	(log (- 1.0 z))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `log-prod`
24×	`*-un-lft-identity`
22×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
15×	`add-cube-cbrt`
14×	`associate-+r+`
10×	`pow1` `associate-+l+` `associate-r/` `associate-r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `flip3--` `associate-l` `flip--` `add-log-exp`
5×	`distribute-lft-out--`
4×	`frac-add` `difference-of-squares`
2×	`log-div` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `sum-log` `flip-+`

Counts

4 → 107

Calls

4 calls:

52.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
12.0ms	(* y (- (log z) t))
13.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
2.0ms	(log (- 1.0 z))

series451.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
71.0ms	(* y (- (log z) t))
183.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
45.0ms	(log (- 1.0 z))

simplify72.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	675	1085
1	2723	1003
2	5001	985

prune427.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
0.0b	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.1b	(* y (- (log z) t))
1.3b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite573.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
81×	`associate-r`
80×	`times-frac`
60×	`*-un-lft-identity`
56×	`unpow-prod-down`
50×	`add-cube-cbrt`
44×	`associate--l+`
31×	`add-exp-log`
24×	`distribute-rgt-in` `log-prod` `distribute-lft-in` `unpow2` `sqr-pow`
19×	`unswap-sqr`
14×	`associate-+r+`
13×	`associate-*r/` `add-cbrt-cube`
12×	`pow1` `sub-neg` `prod-exp`
10×	`associate-+l+`
9×	`div-exp` `associate-l`
7×	`distribute-lft-out--`
6×	`pow-to-exp` `flip3--` `pow-exp` `flip--` `add-log-exp`
4×	`frac-add` `cbrt-unprod`
3×	`pow-prod-down` `*-commutative`
2×	`log-pow` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `sum-log` `flip-+` `div-inv`

Counts

4 → 220

Calls

4 calls:

27.0ms	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
421.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
13.0ms	(* y (- (log z) t))
101.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series468.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
102.0ms	(* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
73.0ms	(* y (- (log z) t))
244.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify128.0ms

Algorithm

egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1080	2117
1	4758	1931
2	5001	1931

prune923.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.3b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.1b	(log (- 1.0 z))
6.1b	(log (- 1.0 z))
6.1b	(log (- 1.0 z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

31×	`log-prod`
21×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`associate--l+`
14×	`associate-+r+`
12×	`distribute-rgt-in` `distribute-lft-in`
11×	`add-cube-cbrt`
10×	`associate-+l+`
8×	`associate-*r/`
7×	`pow1` `add-exp-log` `flip3--` `flip--`
6×	`log-div` `add-log-exp`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`sub-neg` `frac-add` `add-cbrt-cube`
3×	`rem-log-exp` `log-pow`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 87

Calls

4 calls:

13.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))
2.0ms	(log (- 1.0 z))
2.0ms	(log (- 1.0 z))

series321.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
48.0ms	(log (- 1.0 z))
42.0ms	(log (- 1.0 z))
47.0ms	(log (- 1.0 z))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	492	822
1	1639	785
2	5001	785

prune558.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* (log 1.0) a))))
0.1b	(* y (- (log z) t))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`associate-r`
8×	`add-cube-cbrt`
7×	`pow1`
6×	`log-prod` `associate-l` `associate--l+` `add-cbrt-cube`
5×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in`
2×	`sub-neg` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `unswap-sqr`
1×	`flip3--` `exp-sum` `log-pow` `flip--` `difference-of-squares`

Counts

2 → 52

Calls

2 calls:

52.0ms	(* x (exp (+ (* y (- (log z) t)) (* (log 1.0) a))))
13.0ms	(* y (- (log z) t))

series230.0ms

Counts

2 → 6

Calls

2 calls:

157.0ms	(* x (exp (+ (* y (- (log z) t)) (* (log 1.0) a))))
73.0ms	(* y (- (log z) t))

simplify99.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	271	417
1	1083	358
2	4218	346
3	5001	344

prune166.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes256.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.3s	40957×	body	80	nan
799.0ms	12519×	body	80	valid
128.0ms	354×	body	640	valid
91.0ms	409×	body	320	valid
57.0ms	79×	body	1280	valid
39.0ms	276×	body	160	valid