Details

sample224.0ms

Algorithm

intervals

Results

104.0ms	1161×	body	80	nan
41.0ms	375×	body	80	valid
5.0ms	15×	body	320	valid
5.0ms	9×	body	640	valid
2.0ms	2×	body	1280	valid
1.0ms	6×	body	160	valid

simplify40.0ms

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: 2.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (log (- 1.0 z)) b))
0.1b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.9b	(log (- 1.0 z))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
35×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
32×	`associate--l+`
24×	`distribute-rgt-in` `distribute-lft-in`
17×	`add-cube-cbrt`
14×	`associate-+r+`
12×	`associate-r/` `associate-r*`
11×	`pow1`
10×	`associate-+l+`
9×	`add-exp-log` `distribute-lft-out--`
8×	`sub-neg` `add-cbrt-cube`
7×	`flip3--` `flip--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
4×	`frac-add`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 125

Calls

4 calls:

16.0ms	(* a (- (log (- 1.0 z)) b))
15.0ms	(* y (- (log z) t))
13.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series366.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* a (- (log (- 1.0 z)) b))
65.0ms	(* y (- (log z) t))
187.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
42.0ms	(log (- 1.0 z))

simplify77.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	678	1058
1	2743	995
2	5002	986

prune444.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z))))))
0.0b	(+ (* a b) (* 1.0 (* a z)))
0.1b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-log-exp`
18×	`log-prod` `associate--l+`
17×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
10×	`associate-+l+`
9×	`sum-log`
8×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `associate-r/` `associate-r*` `add-cbrt-cube`
5×	`sub-neg` `flip3--` `flip--`
4×	`diff-log` `frac-add` `rem-exp-log`
3×	`exp-prod` `associate-l`
2×	`+-commutative` `associate-+r-` `flip3-+` `flip-+` `distribute-lft-out--`
1×	`exp-diff` `exp-sum` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

63.0ms	(exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z))))))
3.0ms	(+ (* a b) (* 1.0 (* a z)))
12.0ms	(* y (- (log z) t))
22.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

series376.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(exp (+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z))))))
43.0ms	(+ (* a b) (* 1.0 (* a z)))
70.0ms	(* y (- (log z) t))
147.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

simplify78.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	601	1142
1	2698	1060
2	5001	1047

prune400.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(+ (* a b) (* 1.0 (* a z)))
0.1b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

4.0ms	(- (log z) t)
3.0ms	(+ (* a b) (* 1.0 (* a z)))
12.0ms	(* y (- (log z) t))
20.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

series318.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (log z) t)
42.0ms	(+ (* a b) (* 1.0 (* a z)))
69.0ms	(* y (- (log z) t))
147.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

simplify74.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	573	1003
1	2534	942
2	5001	935

prune403.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (- (log z) t))
0.1b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))
0.5b	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod` `associate--l+`
28×	`add-sqr-sqrt`
26×	`distribute-rgt-in` `*-un-lft-identity` `distribute-lft-in`
22×	`add-log-exp`
20×	`add-cube-cbrt` `associate-+l+`
16×	`associate-+r+`
12×	`associate-r/` `associate-r*`
10×	`pow1` `sub-neg` `flip3--` `flip--`
8×	`add-exp-log` `frac-add` `sum-log` `add-cbrt-cube`
6×	`associate-l`
4×	`diff-log` `distribute-lft-out--`
2×	`+-commutative` `associate-+r-` `flip3-+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

12.0ms	(* y (- (log z) t))
14.0ms	(* y (- (log z) t))
20.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))
21.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

series433.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* y (- (log z) t))
70.0ms	(* y (- (log z) t))
145.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))
148.0ms	(+ (* y (- (log z) t)) (- (* a (log 1.0)) (+ (* a b) (* 1.0 (* a z)))))

simplify70.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	490	1664
1	2202	1564
2	5002	1544

prune714.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes166.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	13
1	33	13
2	33	13

end0.0ms

sample7.3s

Algorithm

intervals

Results

3.5s	40671×	body	80	nan
1.3s	12464×	body	80	valid
176.0ms	326×	body	640	valid
136.0ms	380×	body	320	valid
72.0ms	75×	body	1280	valid
69.0ms	298×	body	160	valid