Details

sample207.0ms

Algorithm

intervals

Results

116.0ms	1827×	body	80	nan
19.0ms	258×	body	80	valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	9
1	59	9
2	153	9
3	360	9
4	813	9
5	1639	9
6	3143	9
7	5001	9

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: 0.4b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(* (- a 0.5) (log t))
0.2b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.6b	(+ (log (+ x y)) (log z))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

8.0ms	(- (+ (log (+ x y)) (log z)) t)
7.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
9.0ms	(+ (log (+ x y)) (log z))

series481.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(- (+ (log (+ x y)) (log z)) t)
56.0ms	(* (- a 0.5) (log t))
192.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
72.0ms	(+ (log (+ x y)) (log z))

simplify64.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	618	1003
1	2230	940
2	5001	924

prune359.0ms

Filtered

114 candidates to 80 candidates (70.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	104	10	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	10	115

Merged error: 0b

Counts

115 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (* (cbrt (+ x y)) (cbrt (+ x y)))) (+ (log (cbrt (+ x y))) (log z)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
31×	`pow1`
30×	`distribute-lft-out`
22×	`log-pow`
20×	`cbrt-div`
12×	`cbrt-prod`
11×	`flip3-+` `flip-+`
10×	`associate-+l-` `log-div`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow-prod-down` `add-log-exp`
4×	`add-exp-log` `frac-times` `add-cbrt-cube`
3×	`pow1/3` `sum-log`
2×	`associate-+r-` `associate-r/` `associate-l/`
1×	`+-commutative` `associate-+l+` `associate-+r+` `log-prod`

Counts

4 → 81

Calls

4 calls:

20.0ms	(+ (log (* (cbrt (+ x y)) (cbrt (+ x y)))) (+ (log (cbrt (+ x y))) (log z)))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series603.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(+ (log (* (cbrt (+ x y)) (cbrt (+ x y)))) (+ (log (cbrt (+ x y))) (log z)))
131.0ms	(cbrt (+ x y))
126.0ms	(cbrt (+ x y))
131.0ms	(cbrt (+ x y))

simplify94.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	336	859
1	980	746
2	3848	653
3	5002	653

prune379.0ms

Filtered

93 candidates to 70 candidates (75.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	93	10	103

Merged error: 0b

Counts

103 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(+ (log (+ x y)) (log z))
0.7b	(cbrt t)
0.7b	(cbrt t)
0.7b	(cbrt t)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1`
7×	`log-prod`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-+l+` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`associate-+r+` `pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 57

Calls

4 calls:

7.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series598.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (log (+ x y)) (log z))
181.0ms	(cbrt t)
174.0ms	(cbrt t)
175.0ms	(cbrt t)

simplify78.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	185	279
1	378	255
2	949	246
3	3081	245
4	5002	245

prune293.0ms

Filtered

69 candidates to 56 candidates (81.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	69	10	79

Merged error: 0b

Counts

79 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (- a 0.5) (log t)))
0.5b	(cbrt (* (- a 0.5) (log t)))
0.5b	(* (cbrt (* (- a 0.5) (log t))) (cbrt (* (- a 0.5) (log t))))
0.6b	(+ (log (+ x y)) (log z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*l/`
16×	`cbrt-div` `*-un-lft-identity`
15×	`pow1`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
8×	`flip3--` `pow1/3` `flip--`
7×	`log-prod`
6×	`add-exp-log` `cbrt-prod`
5×	`distribute-lft-out`
4×	`frac-times` `associate-+l+` `swap-sqr` `associate-r` `associate-l` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`associate-+r+`
2×	`associate-+l-` `log-div` `flip3-+` `associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up` `flip-+`
1×	`+-commutative` `pow2` `pow-plus` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

5.0ms	(cbrt (* (- a 0.5) (log t)))
5.0ms	(cbrt (* (- a 0.5) (log t)))
7.0ms	(* (cbrt (* (- a 0.5) (log t))) (cbrt (* (- a 0.5) (log t))))
7.0ms	(+ (log (+ x y)) (log z))

series455.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (* (- a 0.5) (log t)))
110.0ms	(cbrt (* (- a 0.5) (log t)))
161.0ms	(* (cbrt (* (- a 0.5) (log t))) (cbrt (* (- a 0.5) (log t))))
74.0ms	(+ (log (+ x y)) (log z))

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	503	991
1	1460	920
2	5001	882

prune362.0ms

Filtered

97 candidates to 74 candidates (76.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	97	10	107

Merged error: 0b

Counts

107 → 10

regimes652.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.5s	56004×	body	80	nan
582.0ms	8034×	body	80	valid