Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

275×

body

valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (22.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	110	6
3	198	6
4	411	6
5	863	6
6	1229	5
7	1698	5
8	2304	5
9	2508	5
10	2510	5
11	2510	5

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
1.7b	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-lft-out`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

36.0ms	(/ a (+ (- t z) 1.0))
0.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series186.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ a (+ (- t z) 1.0))
148.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify79.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	209	330
1	714	301
2	3086	297
3	5001	297

prune132.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
10.2b	(* (/ a (+ (- t z) 1.0)) (- z y))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
31×	`times-frac`
21×	`associate-l`
18×	`prod-diff`
14×	`distribute-lft-out`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--`
5×	`associate-r` `associate-/r*`
4×	`pow1` `associate-/r/`
3×	`associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `sub-neg` `flip3--` `flip3-+` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `difference-of-squares`

Counts

2 → 109

Calls

2 calls:

48.0ms	(/ a (+ (- t z) 1.0))
92.0ms	(* (/ a (+ (- t z) 1.0)) (- z y))

series161.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ a (+ (- t z) 1.0))
123.0ms	(* (/ a (+ (- t z) 1.0)) (- z y))

simplify64.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	547	998
1	2401	820
2	5001	820

prune232.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ (- t z) 1.0))
1.1b	(* a (/ (- z y) (+ (- t z) 1.0)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

103×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`associate-l`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 106

Calls

2 calls:

48.0ms	(/ (- z y) (+ (- t z) 1.0))
91.0ms	(* a (/ (- z y) (+ (- t z) 1.0)))

series128.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- z y) (+ (- t z) 1.0))
81.0ms	(* a (/ (- z y) (+ (- t z) 1.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	374	748
1	1601	692
2	5001	689

prune229.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
0.0b	(+ (* (/ a (+ (- t z) 1.0)) z) (* (/ a (+ (- t z) 1.0)) (- y)))
6.3b	(* (/ a (+ (- t z) 1.0)) (- y))
7.4b	(* (/ a (+ (- t z) 1.0)) z)

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
47×	`times-frac`
46×	`add-sqr-sqrt`
42×	`associate-l`
36×	`add-cube-cbrt`
21×	`distribute-lft-out`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
10×	`distribute-lft-out--`
8×	`pow1`
6×	`associate-/r/` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `flip3-+` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `unswap-sqr`
3×	`cbrt-undiv` `distribute-lft-neg-in` `distribute-rgt-neg-in` `div-exp` `distribute-rgt-neg-out` `div-inv` `associate-/l*`
2×	`pow-prod-down` `*-commutative`
1×	`+-commutative` `neg-mul-1` `fma-def` `frac-2neg` `unsub-neg` `frac-add` `clear-num` `sum-log`

Counts

4 → 149

Calls

4 calls:

35.0ms	(/ a (+ (- t z) 1.0))
28.0ms	(+ (* (/ a (+ (- t z) 1.0)) z) (* (/ a (+ (- t z) 1.0)) (- y)))
83.0ms	(* (/ a (+ (- t z) 1.0)) (- y))
79.0ms	(* (/ a (+ (- t z) 1.0)) z)

series393.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ a (+ (- t z) 1.0))
167.0ms	(+ (* (/ a (+ (- t z) 1.0)) z) (* (/ a (+ (- t z) 1.0)) (- y)))
137.0ms	(* (/ a (+ (- t z) 1.0)) (- y))
51.0ms	(* (/ a (+ (- t z) 1.0)) z)

simplify80.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	644	1063
1	2838	948
2	5002	946

prune371.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.2b 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	15	6
1	15	6

end0.0ms

sample575.0ms

Algorithm

intervals

Results

254.0ms	8485×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid