Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

356×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (23.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	71	4
3	160	4
4	274	4
5	462	4
6	727	4
7	891	3
8	1083	3
9	1216	3
10	1269	3
11	1269	3

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	272	53
3	1308	53
4	5001	53

prune36.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

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

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

series319.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt (fma (/ y a) (- t z) x))
45.0ms	(fma (/ y a) (- t z) x)
42.0ms	(fma (/ y a) (- t z) x)
45.0ms	(fma (/ y a) (- t z) x)

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	117	320
1	285	290
2	1046	260
3	5002	255

prune172.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

2.9b	(fma (/ y a) (- t z) x)
2.9b	(fma (/ y a) (- t z) x)
2.9b	(fma (/ y a) (- t z) x)
2.9b	(fma (/ y a) (- t z) 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 a) (- t z) x)
0.0ms	(fma (/ y a) (- t z) x)
0.0ms	(fma (/ y a) (- t z) x)
0.0ms	(fma (/ y a) (- t z) x)

series308.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(fma (/ y a) (- t z) x)
42.0ms	(fma (/ y a) (- t z) x)
45.0ms	(fma (/ y a) (- t z) x)
42.0ms	(fma (/ y a) (- t z) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	276
1	94	248
2	272	212
3	1308	212
4	5001	212

prune171.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
7.6b	(/ (* y (- z t)) a)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 71

Calls

2 calls:

12.0ms	(* y (- z t))
11.0ms	(/ (* y (- z t)) a)

series87.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* y (- z t))
51.0ms	(/ (* y (- z t)) a)

simplify43.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	313	491
1	1415	328
2	5001	322

prune122.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes266.0ms

Accuracy

58.4% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.5b

bsearch103.0ms

Steps

Iters	Range		Point
7	2.117967555245603e-67	3.754585379720712e-65	3.698579982247782e-65
7	1.6551719851536629e-180	2.2037249846410062e-178	8.840546645671544e-179
9	-6.275215954198753e+68	-3.97167716156118e+60	-4.0571052645410735e+60

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	17
1	37	17
2	38	17
3	38	17

end0.0ms

sample606.0ms

Algorithm

intervals

Results

296.0ms

10786×

body

valid