Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

312×

body

valid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 11.6b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
11.0b	(/ (* 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)

series62.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* x (+ y z))
38.0ms	(/ (* x (+ y z)) z)

simplify34.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

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

prune91.0ms

Filtered

52 candidates to 35 candidates (67.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	7	53

Merged error: 0.0b

Counts

53 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ y z))
3.0b	(/ 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)))

series294.0ms

Counts

2 → 6

Calls

2 calls:

249.0ms	(/ z (+ y z))
45.0ms	(/ x (/ z (+ y z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	413	869
1	1890	835
2	5001	832

prune198.0ms

Filtered

129 candidates to 92 candidates (71.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	129	7	136

Merged error: 0b

Counts

136 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ y z) z)
3.2b	(* x (/ (+ y z) z))

rewrite16.0ms

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

series54.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(/ (+ y z) z)
37.0ms	(* x (/ (+ y z) z))

simplify88.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (7.0ms)

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

prune97.0ms

Filtered

74 candidates to 48 candidates (64.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	74	7	81

Merged error: 0b

Counts

81 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

9.7b	(* (/ x z) (+ y z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 39

Calls

1 calls:

8.0ms

(* (/ x z) (+ y z))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (/ x z) (+ y z))

simplify36.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	315	204
1	1176	183
2	5001	179

prune57.0ms

Filtered

42 candidates to 29 candidates (69.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	43	6	49

Merged error: 0b

Counts

49 → 6

regimes133.0ms

Accuracy

23.4% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.9b

bsearch91.0ms

Steps

Iters	Range	Point
10	1.6274705985048996e+219	1.0699277036840431e+229	1.22579989514787e+226
8	2.1558392991063154e+98	2.7879092818806152e+101	2.2948729454820384e+98
7	-8.2536754208996505e+121	-1.0272459551290314e+120	-1.1403332970259781e+120

Iters

Range

Point

1.6274705985048996e+219

1.0699277036840431e+229

1.22579989514787e+226

2.1558392991063154e+98

2.7879092818806152e+101

2.2948729454820384e+98

-8.2536754208996505e+121

-1.0272459551290314e+120

-1.1403332970259781e+120

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	25	12
1	28	6
2	31	6
3	31	6

end0.0ms

sample441.0ms

Algorithm

intervals

Results

245.0ms

9642×

body

valid