Details

analyze890.0ms

Algorithm: search

sample36.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
3.0ms	48×	body	80	invalid
2.0ms	34×	body	80	nan

simplify49.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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:

13.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
6.0ms	(* (- a 0.5) b)
8.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series61.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
4.0ms	(* (- a 0.5) b)
11.0ms	(- (+ (+ x y) z) (* z (log t)))
7.0ms	(* z (log t))

simplify68.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	557	780
1	2647	719
2	5001	707

prune142.0ms

Filtered

72 candidates to 102 candidates (-41.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	96	6	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series123.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (cbrt t) (cbrt t))
36.0ms	(cbrt t)
22.0ms	(cbrt t)
23.0ms	(cbrt t)

simplify75.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune133.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

6.0ms	(* (- a 0.5) b)
7.0ms	(+ (+ x y) (- z (* z (log t))))
3.0ms	(- z (* z (log t)))
5.0ms	(* z (log t))

series30.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- a 0.5) b)
11.0ms	(+ (+ x y) (- z (* z (log t))))
8.0ms	(- z (* z (log t)))
7.0ms	(* z (log t))

simplify57.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	537	597
1	2240	554
2	5003	529

prune110.0ms

Filtered

66 candidates to 101 candidates (-53.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	101	6	107

Merged error: 0.0b

Counts

107 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (log t))) (cbrt (* z (log t))))
0.6b	(cbrt (* z (log t)))
0.6b	(cbrt (* z (log t)))
0.6b	(cbrt (* z (log t)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* z (log t))) (cbrt (* z (log t))))
2.0ms	(cbrt (* z (log t)))
2.0ms	(cbrt (* z (log t)))
2.0ms	(cbrt (* z (log t)))

series95.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (cbrt (* z (log t))) (cbrt (* z (log t))))
21.0ms	(cbrt (* z (log t)))
21.0ms	(cbrt (* z (log t)))
21.0ms	(cbrt (* z (log t)))

simplify81.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	192	460
1	604	401
2	2705	347
3	5001	321

prune129.0ms

Filtered

49 candidates to 70 candidates (-42.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	70	6	76

Merged error: 0b

Counts

76 → 6

regimes1.0s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	15
1	26	15

end0.0ms

analyze897.0ms

Algorithm: search

sample1.1s

Algorithm

intervals

Results

558.0ms	7996×	body	80	valid
84.0ms	1178×	body	80	invalid
70.0ms	1132×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

Details

analyze890.0ms

sample36.0ms

simplify49.0ms

prune5.0ms

localize13.0ms

rewrite35.0ms

series61.0ms

simplify68.0ms

prune142.0ms

localize20.0ms

rewrite11.0ms

series123.0ms

simplify75.0ms

prune133.0ms

localize13.0ms

rewrite24.0ms

series30.0ms

simplify57.0ms

prune110.0ms

localize20.0ms

rewrite13.0ms

series95.0ms

simplify81.0ms

prune129.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze897.0ms

sample1.1s

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