Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

263×

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: 7.9b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(- (* y z) x)
0.2b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.9b	(/ (- (* y z) x) (- (* t z) x))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

3.0ms	(- (* t z) x)
3.0ms	(- (* y z) x)
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series210.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (* t z) x)
20.0ms	(- (* y z) x)
112.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
55.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify48.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	399	950
1	1413	884
2	5001	882

prune238.0ms

Filtered

109 candidates to 78 candidates (71.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	103	6	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	6	110

Merged error: 1.7b

Counts

110 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.2b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
0.3b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
9.8b	(/ (- (* t z) x) (- (* y z) x))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
94×	`*-un-lft-identity`
67×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`associate-/r/` `add-cbrt-cube`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

4 → 173

Calls

4 calls:

4.0ms	(- (* y z) x)
21.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
10.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
9.0ms	(/ (- (* t z) x) (- (* y z) x))

series303.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (* y z) x)
145.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
81.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
55.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify76.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	623	2024
1	2865	1860
2	5001	1781

prune284.0ms

Filtered

185 candidates to 104 candidates (56.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	185	6	191

Merged error: 1.7b

Counts

191 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.2b	(/ 1 (- (* t z) x))
0.2b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
10.0b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
29×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`flip3--` `div-exp` `flip--`
4×	`prod-exp` `distribute-lft-out`
3×	`cbrt-undiv` `associate-l` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 122

Calls

4 calls:

3.0ms	(- (* y z) x)
5.0ms	(/ 1 (- (* t z) x))
7.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
12.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (* y z) x)
27.0ms	(/ 1 (- (* t z) x))
114.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
52.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	459	1138
1	2073	1017
2	5002	986

prune247.0ms

Filtered

134 candidates to 88 candidates (65.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	134	6	140

Merged error: 1.7b

Counts

140 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

5.5b	(* (/ 1 (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x)))) (/ (- (* y z) x) (cbrt (- (* t z) x))))
7.1b	(cbrt (- (* t z) x))
7.1b	(cbrt (- (* t z) x))
7.1b	(cbrt (- (* t z) x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

35.0ms	(* (/ 1 (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x)))) (/ (- (* y z) x) (cbrt (- (* t z) x))))
4.0ms	(cbrt (- (* t z) x))
4.0ms	(cbrt (- (* t z) x))
4.0ms	(cbrt (- (* t z) x))

series436.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (/ 1 (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x)))) (/ (- (* y z) x) (cbrt (- (* t z) x))))
122.0ms	(cbrt (- (* t z) x))
116.0ms	(cbrt (- (* t z) x))
119.0ms	(cbrt (- (* t z) x))

simplify75.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	622	1848
1	2599	1596
2	5001	1445

prune345.0ms

Filtered

131 candidates to 94 candidates (71.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	131	6	137

Merged error: 1.7b

Counts

137 → 6

regimes176.0ms

Accuracy

65.5% (2.1b remaining)

Error of 3.1b against oracle of 1.0b and baseline of 7.2b

bsearch94.0ms

Steps

Iters	Range		Point
8	2.339640653435942e+107	5.182164384024453e+110	1.2316379314784276e+109
9	-3.0152176428534764e+134	-4.599691349444207e+128	-1.3076828684574043e+130

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	13
1	35	13

end0.0ms

sample586.0ms

Algorithm

intervals

Results

382.0ms

8312×

body

valid

Details

sample22.0ms

simplify44.0ms

prune2.0ms

localize14.0ms

rewrite32.0ms

series210.0ms

simplify48.0ms

prune238.0ms

localize12.0ms

rewrite53.0ms

series303.0ms

simplify76.0ms

prune284.0ms

localize12.0ms

rewrite35.0ms

series213.0ms

simplify60.0ms

prune247.0ms

localize16.0ms

rewrite51.0ms

series436.0ms

simplify75.0ms

prune345.0ms

regimes176.0ms

bsearch94.0ms

simplify2.0ms

end0.0ms

sample586.0ms

Profiling