Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

269×

body

valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	65	6
2	132	6
3	208	6
4	250	6
5	287	6
6	307	6
7	347	6
8	420	6
9	573	6
10	1883	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)))

rewrite61.0ms

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×	`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 → 70

Calls

2 calls:

32.0ms	(* (+ t1 u) (+ t1 u))
26.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(* (+ t1 u) (+ t1 u))
68.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify56.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	381	490
1	2039	406
2	5001	402

prune118.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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)))

rewrite98.0ms

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×	`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 → 192

Calls

3 calls:

14.0ms	(/ (- t1) (+ t1 u))
11.0ms	(/ v (+ t1 u))
65.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series171.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (- t1) (+ t1 u))
22.0ms	(/ v (+ t1 u))
112.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify64.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	593	1285
1	2700	1201
2	5002	1197

prune355.0ms

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))

rewrite47.0ms

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×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `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 → 90

Calls

4 calls:

1.0ms	(cbrt v)
1.0ms	(cbrt v)
11.0ms	(* (cbrt v) (cbrt v))
32.0ms	(/ (* (- t1) (* (cbrt v) (cbrt v))) (+ t1 u))

series772.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt v)
176.0ms	(cbrt v)
195.0ms	(* (cbrt v) (cbrt v))
218.0ms	(/ (* (- t1) (* (cbrt v) (cbrt v))) (+ t1 u))

simplify53.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	311	516
1	1702	419
2	5002	385

prune242.0ms

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))

rewrite55.0ms

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×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `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 → 91

Calls

4 calls:

11.0ms	(* (cbrt v) (cbrt v))
1.0ms	(cbrt (cbrt v))
5.0ms	(cbrt (* (cbrt v) (cbrt v)))
35.0ms	(/ (* (- t1) (* (cbrt v) (cbrt v))) (+ t1 u))

series908.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (cbrt v) (cbrt v))
238.0ms	(cbrt (cbrt v))
273.0ms	(cbrt (* (cbrt v) (cbrt v)))
209.0ms	(/ (* (- t1) (* (cbrt v) (cbrt v))) (+ t1 u))

simplify49.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	351	585
1	1695	505
2	5001	464

prune285.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes99.0ms

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

sample422.0ms

Algorithm

intervals

Results

200.0ms

8253×

body

valid