Details

sample24.0ms

Algorithm

intervals

Results

8.0ms	252×	body	80	valid
1.0ms	12×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	4×	body	1280	valid
0.0ms	8×	body	160	valid
0.0ms	1×	body	2560	valid

simplify52.0ms

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
12.1b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite15.0ms

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:

12.0ms	(/ (- t x) (- a z))
0.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

series147.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- t x) (- a z))
93.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify58.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (52.0ms)

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

prune212.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.6b	(+ (* (- y z) (/ (- t x) (- a z))) x)
4.1b	(* (- y z) (/ (- t x) (- a z)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 126

Calls

3 calls:

12.0ms	(/ (- t x) (- a z))
11.0ms	(+ (* (- y z) (/ (- t x) (- a z))) x)
32.0ms	(* (- y z) (/ (- t x) (- a z)))

series338.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (- t x) (- a z))
158.0ms	(+ (* (- y z) (/ (- t x) (- a z))) x)
129.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	489	904
1	2048	854
2	5001	852

prune540.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
12.1b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite17.0ms

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:

14.0ms	(/ (- t x) (- a z))
0.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

series141.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- t x) (- a z))
91.0ms	(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

prune182.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- t x))
0.6b	(/ 1 (/ (- a z) (- t x)))
12.1b	(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

rewrite39.0ms

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:

12.0ms	(/ (- a z) (- t x))
14.0ms	(/ 1 (/ (- a z) (- t x)))
0.0ms	(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

series360.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (- a z) (- t x))
195.0ms	(/ 1 (/ (- a z) (- t x)))
116.0ms	(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

simplify73.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	632	1907
1	2802	1722
2	5001	1551

prune381.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 3.0b

regimes271.0ms

Accuracy

31.8% (7.9b remaining)

Error of 11.6b against oracle of 3.7b and baseline of 15.2b

bsearch78.0ms

Steps

Iters	Range		Point
7	5.226502503766466e+112	2.8098248637561653e+114	2.2746469954276827e+114
8	-2.4132684720922263e+151	-3.761360877216288e+146	-1.8711755082866498e+149

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

sample707.0ms

Algorithm

intervals

Results

259.0ms	7769×	body	80	valid
61.0ms	486×	body	640	valid
44.0ms	270×	body	1280	valid
41.0ms	453×	body	320	valid
19.0ms	260×	body	160	valid
3.0ms	16×	body	2560	valid