Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

363×

body

valid

simplify138.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	27	3
2	62	3
3	112	3
4	170	3
5	213	3
6	260	3
7	450	3
8	845	3
9	1532	3
10	3138	3
11	4587	3
12	5001	3

prune7.0ms

Filtered

1 candidates to 1 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: 2.7b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
7.5b	(* (- y x) (/ z t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
18×	`frac-times`
17×	`add-cube-cbrt`
13×	`associate-r`
10×	`flip3--` `times-frac` `flip--` `associate-/l*`
9×	`associate-r/` `associate-/r`
7×	`add-exp-log` `associate-l` `add-cbrt-cube`
4×	`pow1` `clear-num` `add-log-exp`
3×	`fma-def` `frac-2neg` `distribute-lft-out`
2×	`expm1-log1p-u` `associate-*l/` `prod-exp` `un-div-inv` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `div-inv` `difference-of-squares`

Counts

2 → 85

Calls

2 calls:

13.0ms	(+ x (* (- y x) (/ z t)))
12.0ms	(* (- y x) (/ z t))

series86.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ x (* (- y x) (/ z t)))
47.0ms	(* (- y x) (/ z t))

simplify69.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	403	512
1	1972	483
2	5001	468

prune214.0ms

Filtered

91 candidates to 65 candidates (71.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	85	6	91
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
7.5b	(/ (- y x) (/ t z))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
91×	`*-un-lft-identity`
89×	`add-sqr-sqrt`
61×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`distribute-lft-out--` `difference-of-squares`
9×	`associate-/r/`
8×	`associate-/l*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `fma-def` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `div-sub` `clear-num` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 129

Calls

2 calls:

22.0ms	(+ x (/ (- y x) (/ t z)))
14.0ms	(/ (- y x) (/ t z))

series89.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ x (/ (- y x) (/ t z)))
48.0ms	(/ (- y x) (/ t z))

simplify72.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	642	1001
1	2387	948
2	5001	945

prune326.0ms

Filtered

135 candidates to 99 candidates (73.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	5	0	5
Picked	0	1	1
Done	0	1	1
Total	137	5	142

Merged error: 0b

Counts

142 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(* (cbrt z) (cbrt z))
1.0b	(* (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt z) (cbrt z))) (/ (cbrt (- y x)) (/ t (cbrt z))))
1.9b	(/ (cbrt (- y x)) (/ t (cbrt z)))

rewrite861.0ms

Algorithm

rewrite-expression-head

Rules

3898×	`add-sqr-sqrt`
1847×	`cbrt-prod`
1810×	`unswap-sqr`
1640×	`times-frac`
688×	`add-cbrt-cube`
641×	`cbrt-unprod`
608×	`*-un-lft-identity`
485×	`add-cube-cbrt`
452×	`cbrt-div`
424×	`frac-times`
368×	`associate-*l/`
310×	`swap-sqr`
270×	`cbrt-undiv`
239×	`associate-r`
232×	`associate-/r*`
226×	`flip3--` `flip--`
203×	`associate-l`
149×	`*-commutative`
107×	`associate-*r/`
87×	`associate-/l*`
80×	`add-exp-log`
60×	`distribute-lft-out--`
58×	`difference-of-squares`
40×	`prod-exp`
29×	`pow1`
28×	`div-inv`
24×	`associate-/r/`
20×	`associate-/l/`
18×	`div-exp`
15×	`pow-prod-down`
13×	`clear-num`
12×	`frac-2neg`
7×	`pow1/3`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow-sqr` `un-div-inv` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 1749

Calls

4 calls:

1.0ms	(cbrt z)
6.0ms	(* (cbrt z) (cbrt z))
400.0ms	(* (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt z) (cbrt z))) (/ (cbrt (- y x)) (/ t (cbrt z))))
15.0ms	(/ (cbrt (- y x)) (/ t (cbrt z)))

series666.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt z)
206.0ms	(* (cbrt z) (cbrt z))
83.0ms	(* (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt z) (cbrt z))) (/ (cbrt (- y x)) (/ t (cbrt z))))
192.0ms	(/ (cbrt (- y x)) (/ t (cbrt z)))

simplify380.0ms

Algorithm

egg-herbie

Counts

1761 → 1761

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5001	43567

prune6.0s

Filtered

1761 candidates to 1101 candidates (62.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1761	0	1761
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	1761	5	1766

Merged error: 0b

Counts

1766 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y x) t)
0.0b	(+ x (/ (/ (- y x) t) (/ 1 z)))
6.5b	(/ (/ (- y x) t) (/ 1 z))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

652×	`times-frac`
380×	`*-un-lft-identity`
378×	`add-sqr-sqrt`
284×	`add-cube-cbrt`
47×	`distribute-lft-out--` `difference-of-squares`
36×	`div-inv`
32×	`associate-/l*`
27×	`add-exp-log`
22×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube` `associate-/l/`
9×	`cbrt-undiv` `associate-/r/`
5×	`div-sub` `add-log-exp`
4×	`frac-2neg` `clear-num`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`rec-exp` `flip3--` `1-exp` `flip--`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 384

Calls

3 calls:

8.0ms	(/ (- y x) t)
64.0ms	(+ x (/ (/ (- y x) t) (/ 1 z)))
21.0ms	(/ (/ (- y x) t) (/ 1 z))

series136.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (- y x) t)
49.0ms	(+ x (/ (/ (- y x) t) (/ 1 z)))
54.0ms	(/ (/ (- y x) t) (/ 1 z))

simplify93.0ms

Algorithm

egg-herbie

Counts

393 → 393

Iterations

Useful iterations: 1 (53.0ms)

Iter	Nodes	Cost
0	1675	4070
1	5001	3639

prune898.0ms

Filtered

393 candidates to 222 candidates (56.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	393	0	393
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	393	5	398

Merged error: 0b

Counts

398 → 5

regimes172.0ms

Accuracy

26.8% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample572.0ms

Algorithm

intervals

Results

297.0ms

10685×

body

valid