Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

322×

body

valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (13.0ms)

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

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
10.4b	(/ (fma z (- 1.0 t) 1) z)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
2.0ms	(/ (fma z (- 1.0 t) 1) z)

series128.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
34.0ms	(/ (fma z (- 1.0 t) 1) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	142	296
1	371	268
2	1311	266
3	5001	265

prune157.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ 1 z) 1.0)
0.2b	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

13×	`fma-def`
12×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
4×	`add-log-exp`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `div-inv` `distribute-lft-out`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `fma-udef`

Counts

2 → 38

Calls

2 calls:

11.0ms	(+ (/ 1 z) 1.0)
0.0ms	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

series76.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ (/ 1 z) 1.0)
63.0ms	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

simplify45.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	132	173
1	339	153
2	1405	151
3	5001	149

prune140.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
0.6b	(cbrt (/ 1 z))
0.6b	(cbrt (/ 1 z))
0.6b	(cbrt (/ 1 z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

119×	`cbrt-prod`
97×	`add-sqr-sqrt`
79×	`times-frac`
67×	`*-un-lft-identity`
57×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 161

Calls

4 calls:

19.0ms	(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
2.0ms	(cbrt (/ 1 z))
2.0ms	(cbrt (/ 1 z))
2.0ms	(cbrt (/ 1 z))

series760.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt (/ 1 z)) (cbrt (/ 1 z)))
185.0ms	(cbrt (/ 1 z))
186.0ms	(cbrt (/ 1 z))
181.0ms	(cbrt (/ 1 z))

simplify57.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	223	1172
1	902	1064
2	5001	904

prune497.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
11.3b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

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))

series127.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
70.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify46.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	295	439
1	1099	387
2	5002	384

prune179.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample697.0ms

Algorithm

intervals

Results

422.0ms

10530×

body

valid