Details

sample38.0ms

Algorithm

intervals

Results

16.0ms	261×	body	80	valid
2.0ms	7×	body	1280	valid
2.0ms	8×	body	640	valid
2.0ms	9×	body	320	valid
2.0ms	13×	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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
12.5b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite14.0ms

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:

11.0ms	(/ (- t x) (- a z))
0.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

series48.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(/ (- t x) (- a z))
31.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (49.0ms)

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

prune540.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- t x) (/ 1 (- a z)))
12.5b	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

rewrite34.0ms

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:

5.0ms	(/ 1 (- a z))
25.0ms	(* (- t x) (/ 1 (- a z)))
0.0ms	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

series50.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ 1 (- a z))
14.0ms	(* (- t x) (/ 1 (- a z)))
31.0ms	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (32.0ms)

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

prune719.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.5b	(+ x (* (- y z) (/ (- t x) (- a z))))
6.3b	(* (- y z) (/ (- t x) (- a z)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
74×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`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` `fma-def` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 128

Calls

3 calls:

11.0ms	(/ (- t x) (- a z))
3.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
32.0ms	(* (- y z) (/ (- t x) (- a z)))

series114.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ (- t x) (- a z))
60.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
40.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	488	901
1	2066	849
2	5001	847

prune998.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- t x) (/ 1 (- a z)))
4.7b	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
6.3b	(* (- y z) (* (- t x) (/ 1 (- a z))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
26×	`add-cube-cbrt`
22×	`associate-r`
20×	`frac-times` `add-cbrt-cube`
17×	`flip3--` `flip--`
13×	`prod-exp`
12×	`pow1`
10×	`associate-r/` `associate-l` `associate-l/`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `pow-prod-down` `associate-/r/` `un-div-inv` `log1p-expm1-u`
3×	`cbrt-undiv` `rec-exp` `fma-def` `1-exp` `associate-/l*` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 157

Calls

4 calls:

5.0ms	(/ 1 (- a z))
25.0ms	(* (- t x) (/ 1 (- a z)))
3.0ms	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
32.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))

series118.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (- a z))
14.0ms	(* (- t x) (/ 1 (- a z)))
60.0ms	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
40.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))

simplify72.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	603	1062
1	2878	940
2	5002	891

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.8b

regimes929.0ms

Accuracy

64.8% (4.0b remaining)

Error of 7.5b against oracle of 3.6b and baseline of 14.8b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	54
1	44	54

end0.0ms

sample1.1s

Algorithm

intervals

Results

473.0ms	7822×	body	80	valid
116.0ms	477×	body	640	valid
77.0ms	449×	body	320	valid
67.0ms	223×	body	1280	valid
36.0ms	290×	body	160	valid
7.0ms	20×	body	2560	valid