Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

300×

body

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	3
1	22	3
2	33	3
3	36	3
4	42	3
5	46	3
6	54	3
7	282	3
8	2072	3
9	5001	3

prune2.0ms

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: 11.4b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
10.9b	(/ (* x (+ y z)) z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt`
4×	`pow1` `associate-r/` `associate-r*`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

6.0ms	(* x (+ y z))
7.0ms	(/ (* x (+ y z)) z)

series64.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* x (+ y z))
33.0ms	(/ (* x (+ y z)) z)

simplify37.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	226	206
1	1099	177
2	5001	177

prune82.0ms

Filtered

52 candidates to 35 candidates (67.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ y z))
2.2b	(/ x (/ z (+ y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
16×	`distribute-lft-out`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 123

Calls

2 calls:

5.0ms	(/ z (+ y z))
8.0ms	(/ x (/ z (+ y z)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ z (+ y z))
47.0ms	(/ x (/ z (+ y z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	413	869
1	1890	835
2	5002	832

prune212.0ms

Filtered

129 candidates to 92 candidates (71.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	130	5	135

Merged error: 0b

Counts

135 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ y z) z)
2.5b	(* x (/ (+ y z) z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `times-frac`
20×	`add-cube-cbrt`
16×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
4×	`pow1` `associate-/l*`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip-+`

Counts

2 → 68

Calls

2 calls:

6.0ms	(/ (+ y z) z)
9.0ms	(* x (/ (+ y z) z))

series51.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(/ (+ y z) z)
35.0ms	(* x (/ (+ y z) z))

simplify91.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	233	344
1	1013	313
2	3962	313
3	5001	313

prune279.0ms

Filtered

74 candidates to 49 candidates (66.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	74	5	79

Merged error: 0b

Counts

79 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))
0.6b	(/ x (/ z (cbrt (+ y z))))
10.0b	(* (* (cbrt (+ y z)) (cbrt (+ y z))) (/ x (/ z (cbrt (+ y z)))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

314×	`times-frac`
206×	`*-un-lft-identity`
169×	`add-sqr-sqrt`
160×	`add-cube-cbrt`
93×	`cbrt-prod`
86×	`associate-r`
42×	`cbrt-div`
30×	`add-exp-log`
27×	`associate-/r*`
23×	`distribute-lft-out`
21×	`flip3-+` `add-cbrt-cube` `flip-+`
16×	`frac-times` `associate-/r/`
12×	`associate-*l/`
9×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
5×	`associate-*r/`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-/l*`
2×	`pow1/3`
1×	`frac-2neg` `associate-l` `clear-num` `*-commutative`

Counts

4 → 284

Calls

4 calls:

3.0ms	(cbrt (+ y z))
3.0ms	(cbrt (+ y z))
10.0ms	(/ x (/ z (cbrt (+ y z))))
37.0ms	(* (* (cbrt (+ y z)) (cbrt (+ y z))) (/ x (/ z (cbrt (+ y z)))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (+ y z))
123.0ms	(cbrt (+ y z))
111.0ms	(/ x (/ z (cbrt (+ y z))))
59.0ms	(* (* (cbrt (+ y z)) (cbrt (+ y z))) (/ x (/ z (cbrt (+ y z)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

296 → 296

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1238	3225
1	5001	2999

prune706.0ms

Filtered

296 candidates to 241 candidates (81.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	296	0	296
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	296	5	301

Merged error: 0b

Counts

301 → 5

regimes93.0ms

Accuracy

21.4% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	12
1	19	12

end0.0ms

sample439.0ms

Algorithm

intervals

Results

241.0ms

9573×

body

valid