Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

268×

body

valid

simplify41.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 6.6b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* t z) x)
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.6b	(/ (- (* y z) x) (- (* t z) x))

rewrite40.0ms

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

series79.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
5.0ms	(- (* t z) x)
32.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
18.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify47.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (35.0ms)

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

prune158.0ms

Filtered

110 candidates to 80 candidates (27.3%)

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: 0.7b

Counts

111 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
0.5b	(/ 1 (- (* t z) x))
0.5b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
8.5b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite31.0ms

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×	`div-exp`
4×	`flip3--` `prod-exp` `flip--` `distribute-lft-out`
3×	`cbrt-undiv` `flip3-+` `associate-l` `flip-+` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `frac-2neg` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `pow-flip` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 121

Calls

4 calls:

3.0ms	(+ x (* (- (* y z) x) (/ 1 (- (* t 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)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ x (* (- (* y z) x) (/ 1 (- (* t z) x))))
6.0ms	(/ 1 (- (* t z) x))
35.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
16.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify67.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	469	1201
1	2114	1075
2	5002	1044

prune152.0ms

Filtered

133 candidates to 88 candidates (33.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	133	9	142

Merged error: 0.7b

Counts

142 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.5b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
0.5b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
8.5b	(/ (- (* t z) x) (- (* y z) x))

rewrite56.0ms

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	(- (* t z) x)
13.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
23.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
9.0ms	(/ (- (* t z) x) (- (* y z) x))

series82.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* t z) x)
25.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
35.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
17.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify80.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	633	2022
1	2917	1858
2	5002	1779

prune160.0ms

Filtered

185 candidates to 105 candidates (43.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	185	9	194

Merged error: 0.7b

Counts

194 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

6.2b	(/ (- (* y z) x) (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))))
8.8b	(cbrt (- (* t z) x))
8.8b	(cbrt (- (* t z) x))
8.8b	(cbrt (- (* t z) x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`flip3--` `flip--`
9×	`add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`pow1` `frac-times` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `associate-/l/`
1×	`frac-2neg` `div-sub` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 71

Calls

4 calls:

14.0ms	(/ (- (* y z) x) (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))))
4.0ms	(cbrt (- (* t z) x))
4.0ms	(cbrt (- (* t z) x))
4.0ms	(cbrt (- (* t z) x))

series156.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (- (* y z) x) (* (cbrt (- (* t z) x)) (cbrt (- (* t z) x))))
30.0ms	(cbrt (- (* t z) x))
30.0ms	(cbrt (- (* t z) x))
33.0ms	(cbrt (- (* t z) x))

simplify89.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	463	904
1	1286	823
2	4049	784
3	5001	772

prune119.0ms

Filtered

83 candidates to 70 candidates (15.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	83	9	92

Merged error: 0.7b

Counts

92 → 9

regimes347.0ms

Accuracy

61.1% (2.7b remaining)

Error of 3.5b against oracle of 0.8b and baseline of 7.6b

bsearch33.0ms

Steps

Iters	Range		Point
7	6.783701935168316e+101	1.805606643873816e+103	8.85718449799327e+102
6	-4.2809254970369475e+83	-2.8591464038880072e+82	-1.0885472419073279e+83

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	13
1	35	13

end0.0ms

sample753.0ms

Algorithm

intervals

Results

391.0ms

8320×

body

valid

Details

sample27.0ms

simplify41.0ms

prune4.0ms

localize11.0ms

rewrite40.0ms

series79.0ms

simplify47.0ms

prune158.0ms

localize13.0ms

rewrite31.0ms

series81.0ms

simplify67.0ms

prune152.0ms

localize13.0ms

rewrite56.0ms

series82.0ms

simplify80.0ms

prune160.0ms

localize15.0ms

rewrite27.0ms

series156.0ms

simplify89.0ms

prune119.0ms

regimes347.0ms

bsearch33.0ms

simplify1.0ms

end0.0ms

sample753.0ms

Profiling