Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

264×

body

valid

simplify77.0ms

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: 16.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
16.4b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite59.0ms

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:

31.0ms	(* (+ t1 u) (+ t1 u))
25.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (+ t1 u) (+ t1 u))
75.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify58.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (52.0ms)

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

prune126.0ms

Pruning

6 alts after pruning (6 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))
1.4b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite96.0ms

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:

13.0ms	(/ (- t1) (+ t1 u))
11.0ms	(/ v (+ t1 u))
64.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series185.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ (- t1) (+ t1 u))
26.0ms	(/ v (+ t1 u))
119.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify62.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (46.0ms)

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

prune360.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ t1 u))
0.0b	(/ v (+ t1 u))
0.7b	(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
6.5b	(* (- t1) (/ v (+ t1 u)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
54×	`add-exp-log`
49×	`times-frac`
46×	`add-sqr-sqrt`
41×	`add-cube-cbrt`
36×	`associate-r`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp` `distribute-lft-out`
12×	`pow1` `cbrt-unprod`
11×	`associate-l`
8×	`cbrt-undiv` `associate-/r*` `associate-/r/`
6×	`associate-/l*`
4×	`expm1-log1p-u` `rec-exp` `flip3-+` `1-exp` `associate-*r/` `pow-prod-down` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`
1×	`frac-times` `neg-mul-1` `pow-flip` `associate-*l/` `un-div-inv` `inv-pow`

Counts

4 → 175

Calls

4 calls:

11.0ms	(/ 1 (+ t1 u))
10.0ms	(/ v (+ t1 u))
59.0ms	(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
33.0ms	(* (- t1) (/ v (+ t1 u)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 1 (+ t1 u))
26.0ms	(/ v (+ t1 u))
77.0ms	(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
53.0ms	(* (- t1) (/ v (+ t1 u)))

simplify74.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	555	1073
1	3368	922
2	5001	887

prune306.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ t1 u))
0.5b	(cbrt (+ t1 u))
0.5b	(cbrt (+ t1 u))
4.9b	(* (/ (- t1) (cbrt (+ t1 u))) (/ v (+ t1 u)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity` `times-frac`
76×	`add-sqr-sqrt` `associate-l`
57×	`add-cube-cbrt`
54×	`cbrt-prod`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
18×	`associate-r`
16×	`add-exp-log` `distribute-lft-out`
14×	`add-cbrt-cube`
8×	`cbrt-div`
7×	`neg-mul-1`
6×	`pow1` `unswap-sqr`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`distribute-lft-neg-out` `frac-times` `associate-r/` `distribute-frac-neg` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 171

Calls

4 calls:

4.0ms	(cbrt (+ t1 u))
4.0ms	(cbrt (+ t1 u))
4.0ms	(cbrt (+ t1 u))
80.0ms	(* (/ (- t1) (cbrt (+ t1 u))) (/ v (+ t1 u)))

series680.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (+ t1 u))
135.0ms	(cbrt (+ t1 u))
130.0ms	(cbrt (+ t1 u))
288.0ms	(* (/ (- t1) (cbrt (+ t1 u))) (/ v (+ t1 u)))

simplify64.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	657	1373
1	2615	1286
2	5002	1275

prune498.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (1.4b 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	17	7
1	25	7
2	31	7
3	33	7
4	33	7

end0.0ms

sample432.0ms

Algorithm

intervals

Results

207.0ms

8258×

body

valid