Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

342×

body

valid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
7.8b	(* (- y x) (/ z t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

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

series83.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ x (* (- y x) (/ z t)))
43.0ms	(* (- y x) (/ z t))

simplify42.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	306	327
1	1283	301
2	5002	286

prune151.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

6.8b	(cbrt (* (- y x) (/ z t)))
7.8b	(* (- y x) (/ z t))
7.8b	(* (- y x) (/ z t))
7.8b	(* (- y x) (/ z t))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`associate-r`
34×	`*-un-lft-identity`
30×	`times-frac`
28×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
10×	`pow1`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`cbrt-div`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 136

Calls

4 calls:

5.0ms	(cbrt (* (- y x) (/ z t)))
14.0ms	(* (- y x) (/ z t))
14.0ms	(* (- y x) (/ z t))
14.0ms	(* (- y x) (/ z t))

series292.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (* (- y x) (/ z t)))
49.0ms	(* (- y x) (/ z t))
46.0ms	(* (- y x) (/ z t))
50.0ms	(* (- y x) (/ z t))

simplify57.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	383	832
1	1502	760
2	5002	740

prune473.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

6.8b	(cbrt (* (- y x) (/ z t)))
6.8b	(cbrt (* (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (cbrt z) (cbrt t))))
7.8b	(* (- y x) (/ z t))
7.8b	(* (- y x) (/ z t))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
26×	`associate-r`
24×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
16×	`cbrt-div`
15×	`frac-times` `associate-*l/`
14×	`add-exp-log` `add-cbrt-cube`
10×	`flip3--` `associate-l` `flip--`
8×	`pow1`
6×	`associate-*r/`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `cbrt-prod` `pow1/3` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 118

Calls

4 calls:

5.0ms	(cbrt (* (- y x) (/ z t)))
79.0ms	(cbrt (* (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (cbrt z) (cbrt t))))
14.0ms	(* (- y x) (/ z t))
15.0ms	(* (- y x) (/ z t))

series403.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (* (- y x) (/ z t)))
153.0ms	(cbrt (* (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (/ (cbrt z) (cbrt t))))
46.0ms	(* (- y x) (/ z t))
49.0ms	(* (- y x) (/ z t))

simplify70.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	497	1064
1	1926	984
2	5001	947

prune631.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

7.8b	(* (- y x) (/ z t))
7.8b	(* (- y x) (/ z t))
7.8b	(* (- y x) (/ z t))
7.8b	(* (- y x) (/ z t))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
52×	`associate-r`
44×	`*-un-lft-identity`
40×	`times-frac`
36×	`add-cube-cbrt`
24×	`add-exp-log` `add-cbrt-cube`
20×	`associate-l`
12×	`pow1`
8×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 160

Calls

4 calls:

14.0ms	(* (- y x) (/ z t))
14.0ms	(* (- y x) (/ z t))
17.0ms	(* (- y x) (/ z t))
14.0ms	(* (- y x) (/ z t))

series194.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- y x) (/ z t))
46.0ms	(* (- y x) (/ z t))
52.0ms	(* (- y x) (/ z t))
47.0ms	(* (- y x) (/ z t))

simplify48.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	242	888
1	1043	804
2	5001	780

prune804.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes257.0ms

Accuracy

15.7% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.8b

bsearch87.0ms

Steps

Iters	Range		Point
8	6.116983833116937e-129	2.1413885285583168e-125	1.1326421016751084e-125
9	-1.0987850996476219e-125	-1.3385834926714174e-130	-1.1131496519401694e-128

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	13
1	27	13

end0.0ms

sample564.0ms

Algorithm

intervals

Results

290.0ms

10767×

body

valid