Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

349×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	45	4
3	84	4
4	125	4
5	149	4
6	170	4
7	284	4
8	491	4
9	824	4
10	1344	4
11	2576	4
12	3873	4
13	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `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 → 61

Calls

3 calls:

10.0ms	(* y (- z x))
4.0ms	(+ x (/ (* y (- z x)) t))
6.0ms	(/ (* y (- z x)) t)

series136.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* y (- z x))
38.0ms	(+ x (/ (* y (- z x)) t))
55.0ms	(/ (* y (- z x)) t)

simplify41.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	290	325
1	1223	280
2	5001	280

prune145.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ t (- z x))))
0.0b	(/ t (- z x))
5.6b	(/ y (/ t (- z x)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 151

Calls

3 calls:

29.0ms	(+ x (/ y (/ t (- z x))))
5.0ms	(/ t (- z x))
13.0ms	(/ y (/ t (- z x)))

series136.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ x (/ y (/ t (- z x))))
31.0ms	(/ t (- z x))
63.0ms	(/ y (/ t (- z x)))

simplify65.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	539	1150
1	2368	1110
2	5001	1107

prune404.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
5.6b	(* (/ (* (cbrt y) (cbrt y)) t) (* (- z x) (cbrt y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
18×	`add-cbrt-cube`
11×	`prod-exp` `cbrt-unprod`
9×	`pow1` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
5×	`associate-*l/`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`times-frac` `pow1/3` `pow-prod-down`
2×	`frac-times` `flip3--` `associate-*r/` `flip--`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 68

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
26.0ms	(* (/ (* (cbrt y) (cbrt y)) t) (* (- z x) (cbrt y)))

series670.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt y)
197.0ms	(cbrt y)
187.0ms	(cbrt y)
95.0ms	(* (/ (* (cbrt y) (cbrt y)) t) (* (- z x) (cbrt y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	332	522
1	1450	405
2	5001	358

prune221.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.9b	(/ y (/ (cbrt t) (- z x)))
4.1b	(* (/ 1 (* (cbrt t) (cbrt t))) (/ y (/ (cbrt t) (- z x))))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

452×	`times-frac`
320×	`add-sqr-sqrt`
289×	`*-un-lft-identity`
201×	`add-cube-cbrt`
114×	`cbrt-prod`
113×	`associate-r`
87×	`add-exp-log`
42×	`distribute-lft-out--` `difference-of-squares`
36×	`div-exp` `associate-/r*`
35×	`add-cbrt-cube`
30×	`prod-exp`
18×	`cbrt-undiv`
16×	`associate-/r/`
12×	`cbrt-unprod` `unswap-sqr`
10×	`div-inv`
7×	`flip3--` `associate-l` `flip--`
6×	`pow1` `rec-exp` `1-exp`
4×	`add-log-exp`
3×	`associate-/l*`
2×	`pow1/3`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 358

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
13.0ms	(/ y (/ (cbrt t) (- z x)))
81.0ms	(* (/ 1 (* (cbrt t) (cbrt t))) (/ y (/ (cbrt t) (- z x))))

series692.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt t)
190.0ms	(cbrt t)
208.0ms	(/ y (/ (cbrt t) (- z x)))
96.0ms	(* (/ 1 (* (cbrt t) (cbrt t))) (/ y (/ (cbrt t) (- z x))))

simplify68.0ms

Algorithm

egg-herbie

Counts

370 → 370

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1464	3948
1	5001	3499

prune1.2s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes196.0ms

Accuracy

75.9% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	16
1	23	16

end0.0ms

sample544.0ms

Algorithm

intervals

Results

274.0ms

10704×

body

valid