Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

339×

body

valid

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	48	3
3	96	3
4	153	3
5	203	3
6	247	3
7	401	3
8	680	3
9	1133	3
10	1866	3
11	3291	3
12	4745	3
13	5001	3

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

2.9b	(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ y t) (- z x) x)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(fma (/ y t) (- z x) x)

simplify42.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	40	69
1	93	62
2	270	53
3	1300	53
4	5001	53

prune32.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y t) (- z x) x))
2.9b	(fma (/ y t) (- z x) x)
2.9b	(fma (/ y t) (- z x) x)
2.9b	(fma (/ y t) (- z x) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

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

series269.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (fma (/ y t) (- z x) x))
28.0ms	(fma (/ y t) (- z x) x)
28.0ms	(fma (/ y t) (- z x) x)
31.0ms	(fma (/ y t) (- z x) x)

simplify35.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	116	320
1	284	290
2	1044	260
3	5001	255

prune156.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

2.9b	(fma (/ y t) (- z x) x)
2.9b	(fma (/ y t) (- z x) x)
2.9b	(fma (/ y t) (- z x) x)
2.9b	(fma (/ y t) (- z x) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)

series115.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(fma (/ y t) (- z x) x)
27.0ms	(fma (/ y t) (- z x) x)
28.0ms	(fma (/ y t) (- z x) x)
31.0ms	(fma (/ y t) (- z x) x)

simplify44.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	40	276
1	93	248
2	270	212
3	1300	212
4	5001	212

prune168.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
7.2b	(/ (* y (- z x)) t)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `fma-def` `times-frac` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 88

Calls

3 calls:

4.0ms	(+ x (/ (* y (- z x)) t))
11.0ms	(* y (- z x))
13.0ms	(/ (* y (- z x)) t)

series124.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ x (/ (* y (- z x)) t))
40.0ms	(* y (- z x))
48.0ms	(/ (* y (- z x)) t)

simplify52.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	377	600
1	1715	428
2	5003	420

prune165.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes167.0ms

Accuracy

-14.5% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 1.9b

bsearch167.0ms

Steps

Iters	Range		Point
10	9.757932472553739e+272	1.1964001336521789e+283	1.9651447910239928e+280
9	1.1560645828028776e-113	1.1985391241657236e-104	7.97693725199554e-106
8	6.595345726533069e-219	3.1488286209319856e-215	8.349344235110154e-219
10	-4.322234427724679e+22	-200803539.0671856	-735739220375.7815

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	19
1	43	19
2	44	19
3	44	19

end0.0ms

sample549.0ms

Algorithm

intervals

Results

286.0ms

10646×

body

valid