Details

sample25.0ms

Algorithm

intervals

Results

8.0ms

269×

body

valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	80	5
3	174	5
4	369	5
5	503	5
6	769	5
7	1191	5
8	1451	5
9	1606	5
10	1606	5

prune4.0ms

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: 0.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ x (* (- y z) (- y t))))
0.0b	(* (- y z) (- y t))
5.5b	(/ x (* (- y z) (- y t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`flip3--` `*-un-lft-identity` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `associate-l` `add-log-exp`
4×	`associate-r/` `associate-l/`
3×	`sub-neg` `times-frac` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

11.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
9.0ms	(* (- y z) (- y t))
9.0ms	(/ x (* (- y z) (- y t)))

series147.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
30.0ms	(* (- y z) (- y t))
53.0ms	(/ x (* (- y z) (- y t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	361	530
1	1551	485
2	5001	485

prune322.0ms

Filtered

86 candidates to 64 candidates (74.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* x (/ 1 (* (- y z) (- y t)))))
0.0b	(* (- y z) (- y t))
0.4b	(/ 1 (* (- y z) (- y t)))
5.2b	(* x (/ 1 (* (- y z) (- y t))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log`
20×	`associate-r` `add-cbrt-cube`
19×	`add-sqr-sqrt` `flip3--` `flip--`
16×	`associate-/r/`
15×	`*-un-lft-identity`
14×	`prod-exp`
12×	`frac-times`
11×	`pow1` `add-cube-cbrt`
8×	`div-exp` `associate-l`
7×	`associate-*r/`
6×	`times-frac` `associate-*l/` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`sub-neg` `pow-prod-down` `associate-/l*`
2×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/r*` `un-div-inv` `inv-pow`

Counts

4 → 122

Calls

4 calls:

2.0ms	(- 1.0 (* x (/ 1 (* (- y z) (- y t)))))
10.0ms	(* (- y z) (- y t))
10.0ms	(/ 1 (* (- y z) (- y t)))
15.0ms	(* x (/ 1 (* (- y z) (- y t))))

series215.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- 1.0 (* x (/ 1 (* (- y z) (- y t)))))
26.0ms	(* (- y z) (- y t))
64.0ms	(/ 1 (* (- y z) (- y t)))
55.0ms	(* x (/ 1 (* (- y z) (- y t))))

simplify64.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	482	810
1	2436	715
2	5001	705

prune406.0ms

Filtered

134 candidates to 87 candidates (64.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	134	5	139

Merged error: 0.0b

Counts

139 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))
1.8b	(/ (* (- y z) (- y t)) (cbrt x))
3.9b	(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
31×	`cbrt-prod` `add-sqr-sqrt`
28×	`times-frac`
23×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-cbrt-cube`
16×	`associate-/r*`
12×	`cbrt-undiv` `div-exp`
11×	`pow1`
8×	`associate-/l/`
7×	`pow1/3` `prod-exp` `cbrt-unprod`
6×	`flip3--` `swap-sqr` `associate-r` `associate-l` `flip--`
4×	`frac-times` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `pow-prod-up` `associate-/l*`
1×	`pow2` `pow-plus` `associate-/r/` `*-commutative`

Counts

4 → 130

Calls

4 calls:

1.0ms	(cbrt x)
6.0ms	(* (cbrt x) (cbrt x))
11.0ms	(/ (* (- y z) (- y t)) (cbrt x))
13.0ms	(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

series750.0ms

Counts

4 → 12

Calls

4 calls:

343.0ms	(cbrt x)
194.0ms	(* (cbrt x) (cbrt x))
134.0ms	(/ (* (- y z) (- y t)) (cbrt x))
79.0ms	(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

simplify94.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	582	1033
1	3511	842
2	5001	799

prune526.0ms

Filtered

142 candidates to 102 candidates (71.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	142	5	147

Merged error: 0.0b

Counts

147 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ (/ x (- y z)) (- y t)))
0.0b	(/ x (- y z))
1.7b	(/ (/ x (- y z)) (- y t))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

213×	`times-frac`
186×	`add-sqr-sqrt`
179×	`*-un-lft-identity`
89×	`add-cube-cbrt`
47×	`difference-of-squares`
45×	`distribute-lft-out--`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `diff-log` `associate-/l/`

Counts

3 → 201

Calls

3 calls:

35.0ms	(- 1.0 (/ (/ x (- y z)) (- y t)))
5.0ms	(/ x (- y z))
12.0ms	(/ (/ x (- y z)) (- y t))

series149.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- 1.0 (/ (/ x (- y z)) (- y t)))
26.0ms	(/ x (- y z))
57.0ms	(/ (/ x (- y z)) (- y t))

simplify71.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	711	1896
1	2636	1850
2	5001	1850

prune667.0ms

Filtered

210 candidates to 143 candidates (68.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	209	1	210
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	210	5	215

Merged error: 0b

Counts

215 → 5

regimes434.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample617.0ms

Algorithm

intervals

Results

256.0ms

8469×

body

valid

Details

sample25.0ms

simplify56.0ms

prune4.0ms

localize8.0ms

rewrite31.0ms

series147.0ms

simplify53.0ms

prune322.0ms

localize9.0ms

rewrite44.0ms

series215.0ms

simplify64.0ms

prune406.0ms

localize12.0ms

rewrite34.0ms

series750.0ms

simplify94.0ms

prune526.0ms

localize8.0ms

rewrite63.0ms

series149.0ms

simplify71.0ms

prune667.0ms

regimes434.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample617.0ms

Profiling