Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

269×

body

valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 8.3b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y z) x)
1.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.1b	(/ (- (* y z) x) (- (* t z) x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 85

Calls

3 calls:

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))

series187.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (* y z) x)
110.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
57.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	383	891
1	1378	830
2	5001	829

prune233.0ms

Filtered

94 candidates to 68 candidates (72.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	84	10	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	10	95

Merged error: 1.8b

Counts

95 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.3b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
1.0b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
9.9b	(/ (- (* t z) x) (- (* y z) x))

rewrite52.0ms

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)
13.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
21.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
9.0ms	(/ (- (* t z) x) (- (* y z) x))

series302.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (* y z) x)
82.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
145.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
54.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify80.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (56.0ms)

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

prune348.0ms

Filtered

185 candidates to 104 candidates (56.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	180	5	185
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	187	8	195

Merged error: 1.8b

Counts

195 → 8

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y z) x)
1.0b	(/ (+ x (* 1 (/ (- (* y z) x) (- (* t z) x)))) (+ x 1.0))
10.1b	(/ (- (* y z) x) (- (* t z) x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

4.0ms	(- (* y z) x)
7.0ms	(/ (+ x (* 1 (/ (- (* y z) x) (- (* t z) x)))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series191.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (* y z) x)
119.0ms	(/ (+ x (* 1 (/ (- (* y z) x) (- (* t z) x)))) (+ x 1.0))
52.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify48.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	394	920
1	1566	850
2	5002	847

prune240.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	93	8	101

Merged error: 1.8b

Counts

101 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (- (* y z) x))
0.3b	(/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))
1.0b	(/ (+ x (/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))) (+ x 1.0))
9.7b	(* (- (* t z) x) (/ 1 (- (* y z) x)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
54×	`add-exp-log`
43×	`times-frac`
40×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
22×	`add-cbrt-cube`
21×	`div-exp`
16×	`prod-exp` `distribute-lft-out`
15×	`associate-r`
12×	`associate-/r/`
11×	`associate-/l*`
10×	`pow1` `rec-exp` `1-exp`
9×	`div-inv`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`flip3--` `flip--`
4×	`frac-times` `associate-*l/` `cbrt-unprod` `add-log-exp`
3×	`pow-flip` `frac-2neg` `associate-l` `clear-num` `unswap-sqr`
2×	`flip3-+` `associate-*r/` `pow-prod-down` `un-div-inv` `flip-+` `associate-/l/` `inv-pow`
1×	`*-commutative`

Counts

4 → 164

Calls

4 calls:

6.0ms	(/ 1 (- (* y z) x))
12.0ms	(/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))
11.0ms	(/ (+ x (/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))) (+ x 1.0))
12.0ms	(* (- (* t z) x) (/ 1 (- (* y z) x)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ 1 (- (* y z) x))
83.0ms	(/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))
147.0ms	(/ (+ x (/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))) (+ x 1.0))
60.0ms	(* (- (* t z) x) (/ 1 (- (* y z) x)))

simplify76.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	568	1621
1	2694	1418
2	5002	1379

prune331.0ms

Filtered

176 candidates to 96 candidates (54.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	176	8	184

Merged error: 1.8b

Counts

184 → 8

regimes197.0ms

Accuracy

59% (2.7b remaining)

Error of 3.5b against oracle of 0.9b and baseline of 7.4b

bsearch90.0ms

Steps

Iters	Range		Point
7	2.6156544206087916e+123	6.8936041022612285e+124	6.130959302123553e+123
9	-1.6928402390928808e+55	-3.0302711143749294e+49	-7.168048353626866e+54

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	13
1	37	13
2	37	13

end0.0ms

sample538.0ms

Algorithm

intervals

Results

327.0ms

8351×

body

valid