Details

sample217.0ms

Algorithm

intervals

Results

97.0ms	1679×	body	80	nan
17.0ms	256×	body	80	valid

simplify55.0ms

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

prune6.0ms

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: 0.2b

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)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (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:

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

series451.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(- (+ (log (+ x y)) (log z)) t)
179.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
51.0ms	(* (- a 0.5) (log t))
67.0ms	(+ (log (+ x y)) (log z))

simplify58.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (45.0ms)

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

prune573.0ms

Filtered

114 candidates to 80 candidates (70.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	106	8	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	8	115

Merged error: 0.0b

Counts

115 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
12.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))

series642.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt z)
166.0ms	(cbrt z)
164.0ms	(cbrt z)
148.0ms	(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))

simplify59.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	200	367
1	587	304
2	2135	289
3	5002	289

prune429.0ms

Filtered

69 candidates to 56 candidates (81.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	69	8	77

Merged error: 0.0b

Counts

77 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a 0.5) (log t))
0.5b	(cbrt (pow (+ (log (+ x y)) (log z)) 3))
0.6b	(+ (log (+ x y)) (log z))
0.7b	(pow (+ (log (+ x y)) (log z)) 3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
28×	`pow1`
21×	`log-pow` `distribute-lft-out`
20×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt`
14×	`unpow-prod-down` `cube-prod`
13×	`log-prod`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`cube-div` `associate-+l+` `flip3-+` `associate-r` `flip-+` `add-log-exp`
3×	`distribute-rgt-in` `pow-unpow` `associate-+r+` `distribute-lft-in`
2×	`cube-mult` `associate-+l-` `log-div` `cbrt-div` `unpow3` `associate-*l/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

7.0ms	(* (- a 0.5) (log t))
5.0ms	(cbrt (pow (+ (log (+ x y)) (log z)) 3))
7.0ms	(+ (log (+ x y)) (log z))
6.0ms	(pow (+ (log (+ x y)) (log z)) 3)

series492.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (- a 0.5) (log t))
71.0ms	(cbrt (pow (+ (log (+ x y)) (log z)) 3))
70.0ms	(+ (log (+ x y)) (log z))
293.0ms	(pow (+ (log (+ x y)) (log z)) 3)

simplify46.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	421	851
1	1528	787
2	5002	774

prune531.0ms

Filtered

129 candidates to 71 candidates (55.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	129	8	137

Merged error: 0.0b

Counts

137 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
26×	`*-un-lft-identity`
24×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-+r+`
8×	`pow1` `associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
4×	`add-exp-log` `flip3--` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 98

Calls

4 calls:

14.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
7.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series750.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
70.0ms	(+ (log (+ x y)) (log z))
166.0ms	(cbrt t)
354.0ms	(cbrt t)

simplify60.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	598	898
1	2124	774
2	5001	748

prune769.0ms

Filtered

110 candidates to 98 candidates (89.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	110	8	118

Merged error: 0b

Counts

118 → 8

regimes1.3s

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	15
1	24	15

end0.0ms

sample6.8s

Algorithm

intervals

Results

3.2s	54381×	body	80	nan
550.0ms	8037×	body	80	valid

Details

sample217.0ms

simplify55.0ms

prune6.0ms

localize15.0ms

rewrite38.0ms

series451.0ms

simplify58.0ms

prune573.0ms

localize22.0ms

rewrite17.0ms

series642.0ms

simplify59.0ms

prune429.0ms

localize23.0ms

rewrite28.0ms

series492.0ms

simplify46.0ms

prune531.0ms

localize22.0ms

rewrite27.0ms

series750.0ms

simplify60.0ms

prune769.0ms

regimes1.3s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.8s

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