Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

274×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	20	5
1	36	4
2	59	4
3	103	4
4	173	4
5	236	4
6	265	4
7	311	4
8	375	4
9	511	4
10	674	4
11	1179	4
12	1300	4
13	1308	4
14	1308	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.5b	(fma y (/ (- z t) (- a t)) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

10.0ms	(/ (- z t) (- a t))
1.0ms	(fma y (/ (- z t) (- a t)) x)

series164.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (- z t) (- a t))
99.0ms	(fma y (/ (- z t) (- a t)) x)

simplify77.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	258	433
1	707	410
2	2404	410
3	5003	410

prune219.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (- a t) (- z t)))
0.5b	(fma y (/ 1 (/ (- a t) (- z t))) x)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

14.0ms	(/ (- a t) (- z t))
14.0ms	(/ 1 (/ (- a t) (- z t)))
1.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

series442.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (- a t) (- z t))
150.0ms	(/ 1 (/ (- a t) (- z t)))
233.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify73.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	620	1891
1	2762	1708
2	5002	1537

prune413.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ y (/ (- a t) (- z t))) x)
0.0b	(/ (- a t) (- z t))
1.3b	(/ y (/ (- a t) (- z t)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

386×	`times-frac`
322×	`*-un-lft-identity`
320×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
98×	`fma-def`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
18×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 310

Calls

3 calls:

43.0ms	(+ (/ y (/ (- a t) (- z t))) x)
8.0ms	(/ (- a t) (- z t))
12.0ms	(/ y (/ (- a t) (- z t)))

series427.0ms

Counts

3 → 9

Calls

3 calls:

219.0ms	(+ (/ y (/ (- a t) (- z t))) x)
50.0ms	(/ (- a t) (- z t))
158.0ms	(/ y (/ (- a t) (- z t)))

simplify85.0ms

Algorithm

egg-herbie

Counts

319 → 319

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	711	1921
1	3085	1862
2	5001	1858

prune833.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (/ 1 (- a t)) (- z t))
0.5b	(fma y (* (/ 1 (- a t)) (- z t)) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
35×	`add-cube-cbrt`
32×	`times-frac`
21×	`associate-l`
18×	`prod-diff`
16×	`add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-r` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `sub-neg` `rec-exp` `1-exp` `associate-*r/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 126

Calls

3 calls:

6.0ms	(/ 1 (- a t))
18.0ms	(* (/ 1 (- a t)) (- z t))
1.0ms	(fma y (* (/ 1 (- a t)) (- z t)) x)

series366.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ 1 (- a t))
140.0ms	(* (/ 1 (- a t)) (- z t))
187.0ms	(fma y (* (/ 1 (- a t)) (- z t)) x)

simplify58.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	488	928
1	2042	685
2	5002	639

prune277.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes112.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample538.0ms

Algorithm

intervals

Results

277.0ms	8696×	body	80	valid
0.0ms	1×	body	640	valid