Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

315×

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: 14.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
13.4b	(/ (* 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:

25.0ms	(* x (+ y z))
39.0ms	(/ (* 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

prune79.0ms

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))
3.1b	(/ x (/ z (+ y z)))

rewrite22.0ms

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)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ z (+ y z))
44.0ms	(/ x (/ z (+ y z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (43.0ms)

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

prune205.0ms

Filtered

129 candidates to 92 candidates (71.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	2	2	4
Picked	1	0	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)
3.1b	(* 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:

5.0ms	(/ (+ y z) z)
9.0ms	(* x (/ (+ y z) z))

series58.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(/ (+ y z) z)
40.0ms	(* 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

prune100.0ms

Filtered

74 candidates to 49 candidates (66.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	74	5	79

Merged error: 0b

Counts

79 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (+ y z))
0.2b	(/ 1 (/ (/ z (+ y z)) x))
3.1b	(/ (/ z (+ y z)) x)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

648×	`times-frac`
398×	`*-un-lft-identity`
294×	`add-sqr-sqrt` `add-cube-cbrt`
65×	`associate-/r*`
52×	`distribute-lft-out`
35×	`associate-/r/`
31×	`add-exp-log`
24×	`associate-/l*`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
17×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 383

Calls

3 calls:

5.0ms	(/ z (+ y z))
17.0ms	(/ 1 (/ (/ z (+ y z)) x))
13.0ms	(/ (/ z (+ y z)) x)

series152.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ z (+ y z))
38.0ms	(/ 1 (/ (/ z (+ y z)) x))
69.0ms	(/ (/ z (+ y z)) x)

simplify70.0ms

Algorithm

egg-herbie

Counts

392 → 392

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1206	3746
1	5001	3336

prune580.0ms

Filtered

392 candidates to 240 candidates (61.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	391	1	392
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	392	5	397

Merged error: 0b

Counts

397 → 5

regimes101.0ms

Accuracy

0.5% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 3.3b

bsearch62.0ms

Steps

Iters	Range		Point
8	2.9353575760376194e-152	1.0965982640089035e-148	1.471748363258262e-149
7	-4.908337850113116e-261	-2.57839826495009e-262	-3.368950694637007e-262

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	23	7

end0.0ms

sample461.0ms

Algorithm

intervals

Results

258.0ms

9581×

body

valid