Details

sample41.0ms

Algorithm

intervals

Results

26.0ms

329×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (14.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
11.1b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite46.0ms

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:

14.0ms	(* (* z 2.0) (- 1.0 t))
18.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series172.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* (* z 2.0) (- 1.0 t))
52.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
70.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify75.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (65.0ms)

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

prune274.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

0.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
8.0ms	(* 2.0 (/ 1 t))
10.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
4.0ms	(/ 1 (* t z))

series137.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
19.0ms	(* 2.0 (/ 1 t))
62.0ms	(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
17.0ms	(/ 1 (* t z))

simplify51.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	377	535
1	1557	468
2	5001	446

prune338.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
0.0b	(* 2.0 (/ 1 t))
0.1b	(fma x (/ 1 y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.2b	(/ 1 (* t z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
21×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`add-cube-cbrt` `times-frac` `add-cbrt-cube`
13×	`associate-r`
9×	`pow1`
7×	`prod-exp`
6×	`div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-l` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`pow-flip` `pow-prod-down` `fma-udef` `div-inv`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/r` `un-div-inv` `*-commutative` `inv-pow`

Counts

4 → 88

Calls

4 calls:

0.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
8.0ms	(* 2.0 (/ 1 t))
0.0ms	(fma x (/ 1 y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
4.0ms	(/ 1 (* t z))

series145.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
18.0ms	(* 2.0 (/ 1 t))
72.0ms	(fma x (/ 1 y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
14.0ms	(/ 1 (* t z))

simplify46.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	322	475
1	1335	399
2	5001	374

prune283.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))) (cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))))
0.7b	(cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.7b	(cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.7b	(cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))

rewrite9.0ms

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 (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))) (cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))))
0.0ms	(cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.0ms	(cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
1.0ms	(cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))

series661.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))) (cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))))
162.0ms	(cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
154.0ms	(cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
165.0ms	(cbrt (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))

simplify158.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (144.0ms)

Iter	Nodes	Cost
0	237	1361
1	828	1216
2	4490	1092
3	5001	1077

prune336.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes148.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

845.0ms

10485×

body

valid