Details

sample211.0ms

Algorithm

intervals

Results

94.0ms	1294×	body	80	nan
33.0ms	410×	body	80	valid
6.0ms	14×	body	640	valid
3.0ms	3×	body	1280	valid
2.0ms	8×	body	320	valid
1.0ms	8×	body	160	valid

simplify38.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 1.4b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (- (log z) t))
0.2b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.7b	(log (- 1.0 z))

rewrite37.0ms

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:

7.0ms	(* y (- (log z) t))
11.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
12.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

series435.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* y (- (log z) t))
146.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
176.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
46.0ms	(log (- 1.0 z))

simplify73.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	675	1085
1	2724	1003
2	5001	985

prune366.0ms

Filtered

119 candidates to 88 candidates (73.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	115	4	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	4	120

Merged error: 0.0b

Counts

120 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
0.1b	(* y (- (log z) t))
0.2b	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

88×	`add-sqr-sqrt`
80×	`times-frac`
78×	`associate-r`
56×	`unpow-prod-down`
51×	`*-un-lft-identity`
48×	`add-cube-cbrt`
30×	`add-exp-log`
28×	`associate--l+`
24×	`unpow2` `sqr-pow`
19×	`unswap-sqr`
18×	`log-prod`
17×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-+r+`
13×	`add-cbrt-cube`
12×	`prod-exp`
11×	`pow1` `associate-*r/`
10×	`associate-+l+`
9×	`div-exp` `associate-l`
8×	`sub-neg`
6×	`pow-to-exp` `pow-exp` `add-log-exp`
5×	`flip3--` `flip--`
4×	`frac-add` `cbrt-unprod`
3×	`pow-prod-down` `*-commutative`
2×	`distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `exp-sum` `sum-log` `log-pow` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 201

Calls

4 calls:

24.0ms	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
7.0ms	(* y (- (log z) t))
20.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
22.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series558.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* 1/2 (/ (pow z 2) (pow 1.0 2)))
68.0ms	(* y (- (log z) t))
214.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))))
228.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* 1/2 (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify123.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1093	2073
1	4822	1849
2	5001	1849

prune730.0ms

Filtered

213 candidates to 140 candidates (65.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	212	1	213
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	213	4	217

Merged error: 0.0b

Counts

217 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
5.7b	(log (- 1.0 z))
5.7b	(log (- 1.0 z))
5.7b	(log (- 1.0 z))

rewrite25.0ms

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:

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

series316.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
47.0ms	(log (- 1.0 z))
40.0ms	(log (- 1.0 z))
45.0ms	(log (- 1.0 z))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (12.0ms)

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

prune507.0ms

Filtered

99 candidates to 80 candidates (80.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

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

series378.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* x (exp (+ (* y (- (log z) t)) (* (log 1.0) a))))
94.0ms	(exp (+ (* y (- (log z) t)) (* (log 1.0) a)))
60.0ms	(- (log z) t)
67.0ms	(* y (- (log z) t))

simplify38.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	319	625
1	1174	538
2	5001	528

prune242.0ms

Filtered

95 candidates to 68 candidates (71.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	95	4	99

Merged error: 0.0b

Counts

99 → 4

regimes322.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b 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

sample6.6s

Algorithm

intervals

Results

3.2s	41078×	body	80	nan
1.0s	12525×	body	80	valid
163.0ms	381×	body	640	valid
105.0ms	388×	body	320	valid
57.0ms	69×	body	1280	valid
48.0ms	280×	body	160	valid