Details

analyze803.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

sample103.0ms

Algorithm

intervals

Results

28.0ms	326×	body	80	nan
19.0ms	240×	body	80	valid
13.0ms	161×	body	80	invalid
3.0ms	6×	body	640	valid
2.0ms	8×	body	320	valid
2.0ms	7×	body	320	invalid
1.0ms	3×	body	640	invalid
0.0ms	2×	body	160	valid
0.0ms	2×	body	160	invalid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4921	17
1	4921	17

prune19.0ms

Filtered

1 candidates to 1 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: 2.0b

Counts

2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.2b	(* y (- (log z) t))
0.8b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.5b	(log (- 1.0 z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `log-prod`
24×	`*-un-lft-identity`
22×	`associate--l+`
15×	`add-cube-cbrt`
14×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-+r+`
10×	`pow1` `associate-r/` `associate-r*`
8×	`add-exp-log` `associate-+l+` `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 → 101

Calls

4 calls:

11.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
7.0ms	(* y (- (log z) t))
12.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.0ms	(log (- 1.0 z))

series124.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
13.0ms	(* y (- (log z) t))
42.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
3.0ms	(log (- 1.0 z))

simplify38.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5256	1691

prune226.0ms

Filtered

90 candidates to 113 candidates (-25.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	111	4	115

Merged error: 0.0b

Counts

115 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* z (/ z (* 1.0 1.0))) -1/2) (* 1.0 z))) b)))))
0.0b	(* (* z (/ z (* 1.0 1.0))) -1/2)
0.2b	(* y (- (log z) t))
0.8b	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* z (/ z (* 1.0 1.0))) -1/2) (* 1.0 z))) b)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

22.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* z (/ z (* 1.0 1.0))) -1/2) (* 1.0 z))) b)))))
8.0ms	(* (* z (/ z (* 1.0 1.0))) -1/2)
7.0ms	(* y (- (log z) t))
16.0ms	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* z (/ z (* 1.0 1.0))) -1/2) (* 1.0 z))) b)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* z (/ z (* 1.0 1.0))) -1/2) (* 1.0 z))) b)))))
3.0ms	(* (* z (/ z (* 1.0 1.0))) -1/2)
13.0ms	(* y (- (log z) t))
49.0ms	(+ (* y (- (log z) t)) (* a (- (+ (log 1.0) (- (* (* z (/ z (* 1.0 1.0))) -1/2) (* 1.0 z))) b)))

simplify42.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5022	2268

prune241.0ms

Filtered

80 candidates to 112 candidates (-40.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	111	5	116

Merged error: 0b

Counts

116 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (* (exp (+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* z (- (* z (/ -1/2 (* 1.0 1.0))) 1.0)) b))))) x))
0.8b	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* z (- (* z (/ -1/2 (* 1.0 1.0))) 1.0)) b))))
0.8b	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* z (- (* z (/ -1/2 (* 1.0 1.0))) 1.0)) b))))
0.8b	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* z (- (* z (/ -1/2 (* 1.0 1.0))) 1.0)) b))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-+l+` `associate-*r/`
18×	`log-prod` `associate--l+`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`frac-add`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
9×	`flip3-+` `flip-+`
6×	`sub-neg` `associate-+r+` `flip3--` `flip--`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`+-commutative` `sum-log`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 84

Calls

4 calls:

8.0ms	(cbrt (* (exp (+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* z (- (* z (/ -1/2 (* 1.0 1.0))) 1.0)) b))))) x))
9.0ms	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* z (- (* z (/ -1/2 (* 1.0 1.0))) 1.0)) b))))
9.0ms	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* z (- (* z (/ -1/2 (* 1.0 1.0))) 1.0)) b))))
11.0ms	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* z (- (* z (/ -1/2 (* 1.0 1.0))) 1.0)) b))))

series345.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (* (exp (+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* z (- (* z (/ -1/2 (* 1.0 1.0))) 1.0)) b))))) x))
48.0ms	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* z (- (* z (/ -1/2 (* 1.0 1.0))) 1.0)) b))))
73.0ms	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* z (- (* z (/ -1/2 (* 1.0 1.0))) 1.0)) b))))
60.0ms	(+ (* y (- (log z) t)) (* a (+ (log 1.0) (- (* z (- (* z (/ -1/2 (* 1.0 1.0))) 1.0)) b))))

simplify60.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4957	3558
1	4957	3558

prune660.0ms

Filtered

89 candidates to 96 candidates (-7.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	96	5	101

Merged error: 0b

Counts

101 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.0b	(exp (+ (* y (- (log z) t)) (* a (log 1.0))))
0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (log 1.0)))))
0.2b	(* y (- (log z) t))

rewrite31.0ms

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`
4×	`distribute-rgt-in` `distribute-lft-in` `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 → 80

Calls

4 calls:

4.0ms	(- (log z) t)
8.0ms	(exp (+ (* y (- (log z) t)) (* a (log 1.0))))
10.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (log 1.0)))))
7.0ms	(* y (- (log z) t))

series85.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (log z) t)
22.0ms	(exp (+ (* y (- (log z) t)) (* a (log 1.0))))
40.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (log 1.0)))))
14.0ms	(* y (- (log z) t))

simplify39.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4951	857
1	4951	857

prune131.0ms

Filtered

64 candidates to 92 candidates (-43.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	93	4	97

Merged error: 0b

Counts

97 → 4

regimes502.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	141	30
1	141	30

end0.0ms

sample3.1s

Algorithm

intervals

Results

843.0ms	10819×	body	80	nan
606.0ms	7235×	body	80	valid
432.0ms	5393×	body	80	invalid
123.0ms	286×	body	640	valid
64.0ms	239×	body	320	valid
51.0ms	126×	body	640	invalid
49.0ms	59×	body	1280	valid
33.0ms	121×	body	320	invalid
31.0ms	181×	body	160	valid
18.0ms	103×	body	160	invalid
11.0ms	14×	body	1280	invalid

Details

analyze803.0ms

sample103.0ms

simplify26.0ms

prune19.0ms

localize18.0ms

rewrite38.0ms

series124.0ms

simplify38.0ms

prune226.0ms

localize21.0ms

rewrite56.0ms

series149.0ms

simplify42.0ms

prune241.0ms

localize25.0ms

rewrite41.0ms

series345.0ms

simplify60.0ms

prune660.0ms

localize12.0ms

rewrite31.0ms

series85.0ms

simplify39.0ms

prune131.0ms

regimes502.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.1s

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