Details

analyze850.0ms

Algorithm: search

sample37.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
2.0ms	40×	body	80	invalid
2.0ms	44×	body	80	nan

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	8
1	85	8
2	273	8
3	800	8
4	2123	8
5	5001	8

prune5.0ms

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: 0.1b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

6.0ms	(* (- a 0.5) b)
11.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
8.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series64.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- a 0.5) b)
41.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
11.0ms	(- (+ (+ x y) z) (* z (log t)))
7.0ms	(* z (log t))

simplify72.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	557	780
1	2647	719
2	5002	707

prune150.0ms

Filtered

72 candidates to 102 candidates (-41.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	94	8	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	8	103

Merged error: 0.0b

Counts

103 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* b (- a 0.5))
0.0b	(- (* b (- a 0.5)) (* z (log t)))
0.1b	(+ (+ (+ x y) z) (- (* b (- a 0.5)) (* z (log t))))
0.3b	(* z (log t))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

6.0ms	(* b (- a 0.5))
6.0ms	(- (* b (- a 0.5)) (* z (log t)))
13.0ms	(+ (+ (+ x y) z) (- (* b (- a 0.5)) (* z (log t))))
4.0ms	(* z (log t))

series60.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* b (- a 0.5))
12.0ms	(- (* b (- a 0.5)) (* z (log t)))
37.0ms	(+ (+ (+ x y) z) (- (* b (- a 0.5)) (* z (log t))))
7.0ms	(* z (log t))

simplify76.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	586	869
1	2879	819
2	5001	804

prune132.0ms

Filtered

74 candidates to 116 candidates (-56.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	117	7	124

Merged error: 0.0b

Counts

124 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x y) z) (* a b))
0.0b	(- (* b (neg 0.5)) (* z (log t)))
0.0b	(+ (+ (+ (+ x y) z) (* a b)) (- (* b (neg 0.5)) (* z (log t))))
0.3b	(* z (log t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-log-exp`
26×	`sum-log`
12×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity`
10×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate--r+`
5×	`diff-log`
4×	`flip3-+` `associate-r` `frac-add` `flip-+`
3×	`flip3--` `associate-l` `flip--`
2×	`+-commutative` `sub-neg` `associate-+l+` `associate-+r+`
1×	`associate-+r-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

8.0ms	(+ (+ (+ x y) z) (* a b))
4.0ms	(- (* b (neg 0.5)) (* z (log t)))
13.0ms	(+ (+ (+ (+ x y) z) (* a b)) (- (* b (neg 0.5)) (* z (log t))))
4.0ms	(* z (log t))

series67.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (+ (+ x y) z) (* a b))
10.0ms	(- (* b (neg 0.5)) (* z (log t)))
36.0ms	(+ (+ (+ (+ x y) z) (* a b)) (- (* b (neg 0.5)) (* z (log t))))
7.0ms	(* z (log t))

simplify66.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	537	936
1	2564	891
2	5001	870

prune115.0ms

Filtered

66 candidates to 96 candidates (-45.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	96	7	103

Merged error: 0.0b

Counts

103 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (log (cbrt t)))
0.2b	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

5.0ms	(* z (log (cbrt t)))
11.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series83.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* z (log (cbrt t)))
20.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
21.0ms	(cbrt t)
21.0ms	(cbrt t)

simplify47.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	358	765
1	1328	673
2	5002	593

prune118.0ms

Filtered

86 candidates to 114 candidates (-32.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	114	7	121

Merged error: 0.0b

Counts

121 → 7

regimes1.3s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	10
1	30	10
2	31	10
3	31	10

end0.0ms

analyze832.0ms

Algorithm: search

sample929.0ms

Algorithm

intervals

Results

457.0ms	7996×	body	80	valid
71.0ms	1138×	body	80	invalid
64.0ms	1163×	body	80	nan
1.0ms	2×	body	1280	valid
1.0ms	2×	body	640	valid

Details

analyze850.0ms

sample37.0ms

simplify51.0ms

prune5.0ms

localize12.0ms

rewrite32.0ms

series64.0ms

simplify72.0ms

prune150.0ms

localize12.0ms

rewrite33.0ms

series60.0ms

simplify76.0ms

prune132.0ms

localize14.0ms

rewrite31.0ms

series67.0ms

simplify66.0ms

prune115.0ms

localize17.0ms

rewrite22.0ms

series83.0ms

simplify47.0ms

prune118.0ms

regimes1.3s

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze832.0ms

sample929.0ms

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