Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

324×

body

valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	48	4
3	79	4
4	121	4
5	149	4
6	218	4
7	320	4
8	396	4
9	599	4
10	893	4
11	1278	4
12	2173	4
13	3754	4
14	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

23.0ms	(* (- y x) z)
9.0ms	(+ x (/ (* (- y x) z) t))
17.0ms	(/ (* (- y x) z) t)

series99.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* (- y x) z)
34.0ms	(+ x (/ (* (- y x) z) t))
39.0ms	(/ (* (- y x) z) t)

simplify34.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	283	314
1	1117	267
2	5001	267

prune130.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `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 → 49

Calls

2 calls:

7.0ms	(+ x (* (- y x) (/ z t)))
28.0ms	(* (- y x) (/ z t))

series72.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ x (* (- y x) (/ z t)))
41.0ms	(* (- y x) (/ z t))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune111.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

38.0ms	(+ x (/ (- y x) (/ t z)))
22.0ms	(/ (- y x) (/ t z))

series74.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ x (/ (- y x) (/ t z)))
43.0ms	(/ (- y x) (/ t z))

simplify55.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	609	959
1	2199	914
2	5001	913

prune251.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
3.8b	(/ (- y x) (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac`
22×	`add-exp-log`
19×	`add-cube-cbrt`
14×	`add-cbrt-cube`
9×	`cbrt-undiv` `cbrt-prod` `div-exp`
7×	`div-inv`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`pow1` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`associate-/l/`
1×	`flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r/` `flip--`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
30.0ms	(/ (- y x) (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z))))

series651.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt t)
175.0ms	(cbrt t)
173.0ms	(cbrt t)
116.0ms	(/ (- y x) (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z))))

simplify52.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	484	1013
1	1950	842
2	5001	801

prune301.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes96.0ms

Accuracy

-118.3% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 0.9b

bsearch40.0ms

Steps

Iters	Range		Point
3	1.2321485886991084e-147	1.7987293883422593e-147	1.2504527807439046e-147
8	-1.6853958603674932e-165	-3.5025765982777347e-168	-4.404470013461232e-166

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	22
1	31	22

end0.0ms

sample657.0ms

Algorithm

intervals

Results

271.0ms

10672×

body

valid