Details

sample36.0ms

Algorithm

intervals

Results

15.0ms	224×	body	80	valid
4.0ms	23×	body	640	valid
2.0ms	12×	body	1280	valid
1.0ms	10×	body	320	valid
1.0ms	7×	body	160	valid
0.0ms	1×	body	2560	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (12.0ms)

Iter	Nodes	Cost
0	22	6
1	52	6
2	111	6
3	213	6
4	517	5
5	1051	5
6	2055	5
7	3280	5
8	5002	5

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
13.7b	(fma (/ y (- a t)) (- t z) (+ x y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

5.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- t z) (+ x y))

series103.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ y (- a t))
76.0ms	(fma (/ y (- a t)) (- t z) (+ x y))

simplify44.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	170	278
1	468	257
2	1400	257
3	5002	257

prune162.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
13.7b	(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 99

Calls

3 calls:

5.0ms	(/ 1 (- a t))
18.0ms	(* y (/ 1 (- a t)))
0.0ms	(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

series140.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1 (- a t))
28.0ms	(* y (/ 1 (- a t)))
76.0ms	(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

simplify75.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	288	510
1	1143	440
2	4305	394
3	5001	391

prune239.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
13.7b	(fma (/ y (- a t)) (- t z) (+ x y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

5.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- t z) (+ x y))

series106.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ y (- a t))
78.0ms	(fma (/ y (- a t)) (- t z) (+ x y))

simplify48.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	170	278
1	468	257
2	1400	257
3	5002	257

prune146.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
13.6b	(fma (* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt 1) (cbrt (- a t)))) (- t z) (+ x y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

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

series518.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (- a t))
149.0ms	(cbrt (- a t))
148.0ms	(cbrt (- a t))
72.0ms	(fma (* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (cbrt 1) (cbrt (- a t)))) (- t z) (+ x y))

simplify60.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	194	540
1	467	496
2	1654	487
3	5002	466

prune308.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.4b

regimes290.0ms

Accuracy

19.6% (4.6b remaining)

Error of 10.7b against oracle of 6.1b and baseline of 11.8b

bsearch77.0ms

Steps

Iters	Range		Point
10	1.7528703291036506e+138	1.2938133644756141e+156	6.657830105423562e+155
5	-1.4502891747410437e+182	-3.7723659005883336e+181	-1.2470418483123651e+182

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	5
1	20	5

end0.0ms

sample881.0ms

Algorithm

intervals

Results

428.0ms	7371×	body	80	valid
72.0ms	461×	body	640	valid
49.0ms	382×	body	320	valid
46.0ms	247×	body	1280	valid
23.0ms	264×	body	160	valid
3.0ms	14×	body	2560	valid