Details

sample23.0ms

Algorithm

intervals

Results

14.0ms

363×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	38	3
3	47	3
4	47	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

2.0ms	(- 1.0 (* x y))
7.0ms	(* x (- 1.0 (* x y)))

series70.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(- 1.0 (* x y))
44.0ms	(* x (- 1.0 (* x y)))

simplify91.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	138	190
1	581	168
2	3052	168
3	5001	168

prune69.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- 1.0 (* x y)))
0.1b	(cbrt (- 1.0 (* x y)))
0.1b	(cbrt (- 1.0 (* x y)))
0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

1.0ms	(cbrt (- 1.0 (* x y)))
1.0ms	(cbrt (- 1.0 (* x y)))
1.0ms	(cbrt (- 1.0 (* x y)))
14.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series923.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(cbrt (- 1.0 (* x y)))
239.0ms	(cbrt (- 1.0 (* x y)))
228.0ms	(cbrt (- 1.0 (* x y)))
222.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	354	1088
1	1368	1031
2	5001	970

prune282.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
0.2b	(cbrt (cbrt (- 1.0 (* x y))))
0.3b	(pow (cbrt (cbrt (- 1.0 (* x y)))) 4)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-div`
35×	`cbrt-prod`
26×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
12×	`pow1`
9×	`unpow-prod-down` `pow1/3`
8×	`frac-times`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 105

Calls

4 calls:

14.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
6.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
2.0ms	(cbrt (cbrt (- 1.0 (* x y))))
5.0ms	(pow (cbrt (cbrt (- 1.0 (* x y)))) 4)

series1.1s

Counts

4 → 12

Calls

4 calls:

225.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
229.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
234.0ms	(cbrt (cbrt (- 1.0 (* x y))))
413.0ms	(pow (cbrt (cbrt (- 1.0 (* x y)))) 4)

simplify79.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	618	1417
1	2471	1335
2	5001	1290

prune418.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* x y) (* x y))
0.8b	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
5.9b	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1`
22×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r`
4×	`associate-r/` `associate-l*` `pow-sqr` `pow-prod-up`
3×	`times-frac` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `pow-plus` `div-exp` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`pow2` `frac-2neg` `flip3-+` `swap-sqr` `clear-num` `flip-+` `div-inv` `associate-/l*` `difference-of-squares` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

10.0ms	(* (* x y) (* x y))
10.0ms	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
9.0ms	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

series196.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* (* x y) (* x y))
74.0ms	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
91.0ms	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	381	646
1	2121	527
2	5003	527

prune149.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample601.0ms

Algorithm

intervals

Results

419.0ms

10701×

body

valid