Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	17
1	44	17
2	126	17
3	328	17
4	602	17
5	780	17
6	1010	17
7	1482	17
8	5001	17

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 2.0 t) (+ 1.0 t))
0.0b	(/ (* 2.0 t) (+ 1.0 t))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-exp-log` `add-cbrt-cube`
60×	`*-un-lft-identity`
48×	`times-frac`
32×	`prod-exp` `cbrt-unprod`
28×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
24×	`add-cube-cbrt` `swap-sqr`
20×	`associate-r` `associate-l` `associate-/r/`
18×	`pow1`
16×	`distribute-lft-out`
10×	`flip3-+` `flip-+` `div-inv`
8×	`associate-/r*`
4×	`add-log-exp`
2×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `-commutative` `pow-prod-up` `associate-/l` `unswap-sqr`

Counts

4 → 184

Calls

4 calls:

6.0ms	(/ (* 2.0 t) (+ 1.0 t))
6.0ms	(/ (* 2.0 t) (+ 1.0 t))
29.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
32.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (* 2.0 t) (+ 1.0 t))
38.0ms	(/ (* 2.0 t) (+ 1.0 t))
52.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
52.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify70.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	464	1586
1	2575	1212
2	5001	1140

prune311.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (cbrt (/ (* 2.0 t) (+ 1.0 t))) 4)
0.8b	(cbrt (/ (* 2.0 t) (+ 1.0 t)))
0.8b	(cbrt (/ (* 2.0 t) (+ 1.0 t)))
0.8b	(cbrt (/ (* 2.0 t) (+ 1.0 t)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
22×	`*-un-lft-identity`
16×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`unpow-prod-down`
8×	`associate-/r/`
5×	`pow1` `add-exp-log`
4×	`flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `div-inv` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `cbrt-div`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 85

Calls

4 calls:

7.0ms	(pow (cbrt (/ (* 2.0 t) (+ 1.0 t))) 4)
4.0ms	(cbrt (/ (* 2.0 t) (+ 1.0 t)))
4.0ms	(cbrt (/ (* 2.0 t) (+ 1.0 t)))
4.0ms	(cbrt (/ (* 2.0 t) (+ 1.0 t)))

series807.0ms

Counts

4 → 12

Calls

4 calls:

291.0ms	(pow (cbrt (/ (* 2.0 t) (+ 1.0 t))) 4)
168.0ms	(cbrt (/ (* 2.0 t) (+ 1.0 t)))
178.0ms	(cbrt (/ (* 2.0 t) (+ 1.0 t)))
170.0ms	(cbrt (/ (* 2.0 t) (+ 1.0 t)))

simplify41.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	391	903
1	1319	861
2	5001	811

prune329.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.5b	(pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
0.6b	(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
1.5b	(log (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log` `*-un-lft-identity`
40×	`add-cbrt-cube`
32×	`unpow-prod-down`
28×	`times-frac`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
20×	`pow-unpow` `sqrt-prod`
15×	`prod-exp` `cbrt-unprod`
14×	`pow1`
12×	`cbrt-undiv` `swap-sqr` `div-exp` `associate-/r/`
10×	`associate-r` `associate-l`
8×	`distribute-lft-out`
7×	`log-prod` `pow-pow`
6×	`flip3-+` `flip-+` `div-inv`
4×	`add-log-exp` `sqr-pow`
3×	`pow-to-exp` `exp-prod` `rem-log-exp` `pow-exp`
1×	`pow2` `frac-times` `sqrt-pow1` `pow-plus` `pow1/2` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `log-pow` `*-commutative` `pow-prod-up` `sqrt-pow2` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

29.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
8.0ms	(pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
8.0ms	(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
2.0ms	(log (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))

series1.1s

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
299.0ms	(pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
196.0ms	(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
534.0ms	(log (pow (exp 1) (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))

simplify110.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	853	1462
1	4269	1197
2	5001	1146

prune447.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	14	17

end0.0ms

sample316.0ms

Algorithm

intervals

Results

230.0ms

8000×

body

valid