Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

269×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	67	6
2	145	6
3	241	6
4	301	6
5	355	6
6	396	6
7	444	6
8	529	6
9	744	6
10	2218	6
11	5001	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.2b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 74

Calls

2 calls:

39.0ms	(* (+ t1 u) (+ t1 u))
23.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(* (+ t1 u) (+ t1 u))
80.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify59.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	390	509
1	2114	426
2	5002	422

prune127.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ v (+ t1 u))
1.5b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `distribute-frac-neg` `clear-num`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 198

Calls

3 calls:

15.0ms	(/ (- t1) (+ t1 u))
11.0ms	(/ v (+ t1 u))
70.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (- t1) (+ t1 u))
26.0ms	(/ v (+ t1 u))
106.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify60.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	602	1313
1	2728	1228
2	5002	1224

prune376.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt v)
0.5b	(cbrt v)
0.5b	(* (cbrt v) (cbrt v))
8.6b	(/ (* (- t1) (* (cbrt v) (cbrt v))) (+ t1 u))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`add-exp-log`
11×	`pow1` `add-cbrt-cube`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`pow-prod-down` `associate-/r/` `pow-sqr` `pow-prod-up` `distribute-lft-out`
1×	`distribute-lft-neg-out` `pow2` `frac-2neg` `flip3-+` `pow-plus` `distribute-frac-neg` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l`

Counts

4 → 98

Calls

4 calls:

1.0ms	(cbrt v)
1.0ms	(cbrt v)
15.0ms	(* (cbrt v) (cbrt v))
34.0ms	(/ (* (- t1) (* (cbrt v) (cbrt v))) (+ t1 u))

series743.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt v)
177.0ms	(cbrt v)
188.0ms	(* (cbrt v) (cbrt v))
205.0ms	(/ (* (- t1) (* (cbrt v) (cbrt v))) (+ t1 u))

simplify53.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	318	548
1	1723	451
2	5002	417

prune267.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt v) (cbrt v))
0.6b	(cbrt (cbrt v))
0.6b	(cbrt (* (cbrt v) (cbrt v)))
8.6b	(/ (* (- t1) (* (cbrt v) (cbrt v))) (+ t1 u))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-prod`
24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`add-exp-log`
11×	`pow1` `add-cbrt-cube`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`pow-prod-down` `associate-/r/` `pow-sqr` `pow-prod-up` `distribute-lft-out`
1×	`distribute-lft-neg-out` `pow2` `frac-2neg` `flip3-+` `pow-plus` `distribute-frac-neg` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l`

Counts

4 → 99

Calls

4 calls:

14.0ms	(* (cbrt v) (cbrt v))
1.0ms	(cbrt (cbrt v))
6.0ms	(cbrt (* (cbrt v) (cbrt v)))
34.0ms	(/ (* (- t1) (* (cbrt v) (cbrt v))) (+ t1 u))

series911.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt v) (cbrt v))
240.0ms	(cbrt (cbrt v))
264.0ms	(cbrt (* (cbrt v) (cbrt v)))
209.0ms	(/ (* (- t1) (* (cbrt v) (cbrt v))) (+ t1 u))

simplify51.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	360	625
1	1718	545
2	5001	504

prune316.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	21	6

end0.0ms

sample443.0ms

Algorithm

intervals

Results

204.0ms

8253×

body

valid