Details

sample31.0ms

Algorithm

intervals

Results

16.0ms

320×

body

valid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (18.0ms)

Iter	Nodes	Cost
0	25	8
1	50	8
2	106	8
3	208	8
4	322	6
5	520	6
6	1439	6
7	5002	6

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b	(* (* z 2.0) (- 1.0 t))
9.2b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
18×	`prod-diff`
13×	`add-exp-log` `fma-def` `add-cbrt-cube`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`associate-r` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `flip3-+` `associate-*r/` `div-exp` `flip-+` `div-inv` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `associate-l` `frac-add` `clear-num` `associate-/r` `sum-log` `-commutative` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 99

Calls

3 calls:

21.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
14.0ms	(* (* z 2.0) (- 1.0 t))
10.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series186.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
57.0ms	(* (* z 2.0) (- 1.0 t))
74.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify83.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	553	869
1	2416	670
2	5001	668

prune282.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 (/ 1 t)) 2.0)
0.0b	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.0b	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
0.7b	(/ 1 (* t z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`add-exp-log`
14×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`fma-def`
12×	`times-frac`
9×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`prod-diff` `prod-exp` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `pow-flip` `1-exp` `fma-udef` `div-inv`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `pow-prod-down` `clear-num` `associate-/r*` `sum-log` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 86

Calls

4 calls:

6.0ms	(- (* 2.0 (/ 1 t)) 2.0)
10.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
7.0ms	(/ 1 (* t z))

series158.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* 2.0 (/ 1 t)) 2.0)
68.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
38.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
14.0ms	(/ 1 (* t z))

simplify59.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	315	508
1	1232	431
2	5001	420

prune303.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 (/ 1 t)) 2.0)
0.0b	(+ (/ x y) (fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0)))
0.0b	(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
0.2b	(/ (/ 1 t) z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
56×	`*-un-lft-identity`
54×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log` `fma-def` `associate-/l*`
9×	`add-cbrt-cube`
8×	`add-log-exp`
6×	`div-exp` `div-inv`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `prod-diff` `associate-/r*`
2×	`fma-udef`
1×	`+-commutative` `sub-neg` `rec-exp` `associate-+r+` `flip3--` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `1-exp` `clear-num` `sum-log` `flip--` `flip-+` `associate-/l/` `distribute-lft-out`

Counts

4 → 130

Calls

4 calls:

5.0ms	(- (* 2.0 (/ 1 t)) 2.0)
10.0ms	(+ (/ x y) (fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0)))
0.0ms	(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
6.0ms	(/ (/ 1 t) z)

series163.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* 2.0 (/ 1 t)) 2.0)
64.0ms	(+ (/ x y) (fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0)))
43.0ms	(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
14.0ms	(/ (/ 1 t) z)

simplify73.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	522	868
1	1975	762
2	5001	715

prune403.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series830.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (cbrt t) (cbrt t))
201.0ms	(cbrt t)
204.0ms	(cbrt t)
198.0ms	(cbrt t)

simplify117.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (104.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune372.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes195.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms

sample702.0ms

Algorithm

intervals

Results

425.0ms

10554×

body

valid