Details

sample171.0ms

Algorithm

intervals

Results

88.0ms	1802×	body	80	nan
14.0ms	256×	body	80	valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 0.3b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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:

7.0ms	(- (+ (log (+ x y)) (log z)) t)
15.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
6.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series490.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(- (+ (log (+ x y)) (log z)) t)
196.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
69.0ms	(+ (log (+ x y)) (log z))

simplify59.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (49.0ms)

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

prune390.0ms

Filtered

114 candidates to 80 candidates (70.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	103	11	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	11	115

Merged error: 0.0b

Counts

115 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

15.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
7.0ms	(* (log (sqrt t)) (- a 0.5))
7.0ms	(* (log (sqrt t)) (- a 0.5))
10.0ms	(+ (log (+ x y)) (log z))

series504.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(+ (+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5))) (* (log (sqrt t)) (- a 0.5)))
69.0ms	(* (log (sqrt t)) (- a 0.5))
65.0ms	(* (log (sqrt t)) (- a 0.5))
75.0ms	(+ (log (+ x y)) (log z))

simplify106.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	906	1848
1	4041	1719
2	5001	1715

prune503.0ms

Filtered

126 candidates to 90 candidates (71.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	128	9	137

Merged error: 0.0b

Counts

137 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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:

6.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series614.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ (log (+ x y)) (log z))
186.0ms	(cbrt t)
177.0ms	(cbrt t)
177.0ms	(cbrt t)

simplify75.0ms

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

prune328.0ms

Filtered

69 candidates to 56 candidates (81.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	69	9	78

Merged error: 0.0b

Counts

78 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
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-+` `pow-prod-down` `associate-*l/` `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 (* (log (sqrt t)) (- a 0.5)))
5.0ms	(cbrt (* (log (sqrt t)) (- a 0.5)))
6.0ms	(* (cbrt (* (log (sqrt t)) (- a 0.5))) (cbrt (* (log (sqrt t)) (- a 0.5))))
7.0ms	(+ (log (+ x y)) (log z))

series1.0s

Counts

4 → 12

Calls

4 calls:

239.0ms	(cbrt (* (log (sqrt t)) (- a 0.5)))
244.0ms	(cbrt (* (log (sqrt t)) (- a 0.5)))
476.0ms	(* (cbrt (* (log (sqrt t)) (- a 0.5))) (cbrt (* (log (sqrt t)) (- a 0.5))))
76.0ms	(+ (log (+ x y)) (log z))

simplify63.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	615	1113
1	1834	1013
2	5001	949

prune463.0ms

Filtered

97 candidates to 74 candidates (76.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	97	9	106

Merged error: 0.0b

Counts

106 → 9

regimes617.0ms

Accuracy

0% (0.3b 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	22	15
1	22	15

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.7s	56606×	body	80	nan
460.0ms	8031×	body	80	valid