Details

sample26.0ms

Algorithm

intervals

Results

8.0ms	242×	body	80	valid
2.0ms	18×	body	320	valid
1.0ms	12×	body	640	valid
1.0ms	9×	body	1280	valid
1.0ms	11×	body	160	valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	23	6
1	46	5
2	128	5
3	362	5
4	1024	5
5	2296	5
6	5001	5

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
14.9b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite11.0ms

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:

8.0ms	(/ (- t x) (- a z))
1.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

series147.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- t x) (- a z))
96.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	268	450
1	733	425
2	2490	423
3	5001	421

prune210.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- t x) (/ 1 (- a z)))
14.9b	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `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` `rec-exp` `1-exp` `associate-*l/` `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 → 105

Calls

3 calls:

6.0ms	(/ 1 (- a z))
13.0ms	(* (- t x) (/ 1 (- a z)))
1.0ms	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

series184.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 1 (- a z))
54.0ms	(* (- t x) (/ 1 (- a z)))
94.0ms	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	350	602
1	1497	525
2	5001	481

prune279.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
14.9b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite11.0ms

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:

8.0ms	(/ (- t x) (- a z))
1.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

series149.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- t x) (- a z))
98.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	268	450
1	733	425
2	2490	423
3	5001	421

prune193.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
14.7b	(fma (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))) x)

rewrite12.0ms

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:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
1.0ms	(fma (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))) x)

series586.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt (- a z))
151.0ms	(cbrt (- a z))
160.0ms	(cbrt (- a z))
118.0ms	(fma (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	203	532
1	487	489
2	1741	478
3	5002	453

prune290.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.4b

regimes300.0ms

Accuracy

27.2% (8.0b remaining)

Error of 11.7b against oracle of 3.7b and baseline of 14.7b

bsearch73.0ms

Steps

Iters	Range		Point
3	4.2012966687907995e+216	5.1131601790554467e+216	4.2582881381823394e+216
9	-3.709316971755835e+107	-1.4683551184238767e+100	-5.600320684036978e+103

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	10
1	28	10

end0.0ms

sample720.0ms

Algorithm

intervals

Results

272.0ms	7828×	body	80	valid
60.0ms	466×	body	640	valid
42.0ms	269×	body	1280	valid
41.0ms	416×	body	320	valid
18.0ms	286×	body	160	valid
2.0ms	8×	body	2560	valid