Details

sample36.0ms

Algorithm

intervals

Results

20.0ms

269×

body

valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	8
1	35	8
2	60	8
3	103	8
4	183	8
5	416	8
6	1194	8
7	5001	8

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: 9.2b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.0b	(/ (- (* y z) x) (- (* t z) x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 98

Calls

4 calls:

11.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
4.0ms	(- (* t z) x)
17.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series273.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
23.0ms	(- (* t z) x)
118.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
53.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify44.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	397	1011
1	1388	948
2	5001	947

prune235.0ms

Filtered

110 candidates to 80 candidates (72.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	101	9	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	9	111

Merged error: 1.0b

Counts

111 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x (/ (* y z) (- (* t z) x))) (+ x 1.0))
0.0b	(/ (/ x (- (* t z) x)) (+ x 1.0))
2.3b	(/ x (- (* t z) x))
12.1b	(/ (* y z) (- (* t z) x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

133×	`times-frac`
127×	`*-un-lft-identity`
75×	`add-sqr-sqrt` `add-cube-cbrt`
26×	`distribute-lft-out`
23×	`associate-/l*`
18×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
14×	`associate-/r*`
9×	`div-inv`
7×	`cbrt-undiv` `flip3--` `div-exp` `flip--`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l/`
1×	`prod-exp` `cbrt-unprod`

Counts

4 → 188

Calls

4 calls:

12.0ms	(/ (+ x (/ (* y z) (- (* t z) x))) (+ x 1.0))
11.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
5.0ms	(/ x (- (* t z) x))
7.0ms	(/ (* y z) (- (* t z) x))

series266.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(/ (+ x (/ (* y z) (- (* t z) x))) (+ x 1.0))
95.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
59.0ms	(/ x (- (* t z) x))
32.0ms	(/ (* y z) (- (* t z) x))

simplify76.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	700	1899
1	3022	1792
2	5002	1792

prune429.0ms

Filtered

200 candidates to 142 candidates (71.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	202	7	209

Merged error: 0.0b

Counts

209 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ x (- (* t z) x)) (+ x 1.0))
2.0b	(* y (/ z (- (* t z) x)))
2.3b	(/ x (- (* t z) x))
10.0b	(/ z (- (* t z) x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 188

Calls

4 calls:

11.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
9.0ms	(* y (/ z (- (* t z) x)))
5.0ms	(/ x (- (* t z) x))
5.0ms	(/ z (- (* t z) x))

series220.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
34.0ms	(* y (/ z (- (* t z) x)))
57.0ms	(/ x (- (* t z) x))
32.0ms	(/ z (- (* t z) x))

simplify70.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	633	1664
1	2606	1575
2	5003	1575

prune429.0ms

Filtered

200 candidates to 146 candidates (73.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	200	7	207

Merged error: 0.0b

Counts

207 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

3.7b	(* (/ y (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x)))) (/ z (cbrt (- (* t z) x))))
10.5b	(cbrt (- (* t z) x))
10.5b	(cbrt (- (* t z) x))
10.5b	(cbrt (- (* t z) x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
24×	`associate-r`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`cbrt-prod` `cbrt-div`
18×	`add-cbrt-cube`
15×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 108

Calls

4 calls:

25.0ms	(* (/ y (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x)))) (/ z (cbrt (- (* t z) x))))
4.0ms	(cbrt (- (* t z) x))
4.0ms	(cbrt (- (* t z) x))
6.0ms	(cbrt (- (* t z) x))

series387.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (/ y (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x)))) (/ z (cbrt (- (* t z) x))))
114.0ms	(cbrt (- (* t z) x))
113.0ms	(cbrt (- (* t z) x))
114.0ms	(cbrt (- (* t z) x))

simplify82.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	574	1505
1	2519	1326
2	5002	1226

prune357.0ms

Filtered

120 candidates to 101 candidates (84.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	120	7	127

Merged error: 0.0b

Counts

127 → 7

regimes137.0ms

Accuracy

-57.7% (2.9b remaining)

Error of 3.2b against oracle of 0.3b and baseline of 2.1b

bsearch60.0ms

Steps

Iters	Range		Point
6	1.965490046878078e-121	9.639441827347957e-121	1.999216315040642e-121
5	1.8047513363108133e-191	4.705734624363559e-191	2.749705910315917e-191

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	17
1	32	17

end0.0ms

sample598.0ms

Algorithm

intervals

Results

387.0ms

8343×

body

valid

Details

sample36.0ms

simplify44.0ms

prune2.0ms

localize10.0ms

rewrite43.0ms

series273.0ms

simplify44.0ms

prune235.0ms

localize16.0ms

rewrite42.0ms

series266.0ms

simplify76.0ms

prune429.0ms

localize13.0ms

rewrite37.0ms

series220.0ms

simplify70.0ms

prune429.0ms

localize17.0ms

rewrite43.0ms

series387.0ms

simplify82.0ms

prune357.0ms

regimes137.0ms

bsearch60.0ms

simplify1.0ms

end0.0ms

sample598.0ms

Profiling