Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

272×

body

valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	8
1	39	8
2	64	8
3	115	8
4	207	8
5	465	8
6	1337	8
7	5001	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 5.2b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
7.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
110×	`add-sqr-sqrt`
65×	`times-frac`
32×	`distribute-lft-out--` `difference-of-squares`
30×	`add-cube-cbrt`
16×	`associate-l` `unswap-sqr`
11×	`associate-/r` `distribute-lft-out` `associate-/l`
7×	`add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
4×	`div-sub` `associate-/r/` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `fma-def` `flip3-+` `flip-+` `log1p-expm1-u`
2×	`cbrt-undiv` `associate-+r-` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
1×	`+-commutative` `sum-log`

Counts

3 → 143

Calls

3 calls:

26.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
32.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
27.0ms	(/ (- (* y z) x) (- (* t z) x))

series307.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
142.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
68.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify74.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	507	1547
1	1649	1486
2	5002	1481

prune287.0ms

Filtered

152 candidates to 99 candidates (65.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	143	9	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	144	9	153

Merged error: 0.2b

Counts

153 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
1.5b	(/ y (- (* t z) x))
2.4b	(fma (/ y (- (* t z) x)) z x)
2.4b	(/ x (- (* t z) x))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

105×	`add-sqr-sqrt`
96×	`*-un-lft-identity`
71×	`times-frac`
40×	`add-cube-cbrt`
26×	`difference-of-squares`
21×	`distribute-lft-out--`
18×	`associate-/r*`
12×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-l` `unswap-sqr`
7×	`distribute-lft-out`
6×	`associate-/r/`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
2×	`associate-/l/`
1×	`flip3-+` `div-sub` `flip-+` `fma-udef`

Counts

4 → 157

Calls

4 calls:

31.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
10.0ms	(/ y (- (* t z) x))
1.0ms	(fma (/ y (- (* t z) x)) z x)
10.0ms	(/ x (- (* t z) x))

series310.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(/ (- (fma (/ y (- (* t z) x)) z x) (/ x (- (* t z) x))) (+ x 1.0))
37.0ms	(/ y (- (* t z) x))
60.0ms	(fma (/ y (- (* t z) x)) z x)
72.0ms	(/ x (- (* t z) x))

simplify77.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	533	1624
1	1766	1541
2	5001	1533

prune379.0ms

Filtered

169 candidates to 121 candidates (71.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	170	8	178

Merged error: 0.0b

Counts

178 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(/ 1 (+ x 1.0))
0.3b	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
7.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 216

Calls

4 calls:

28.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
6.0ms	(/ 1 (+ x 1.0))
38.0ms	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
27.0ms	(/ (- (* y z) x) (- (* t z) x))

series335.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
27.0ms	(/ 1 (+ x 1.0))
146.0ms	(* (+ x (/ (- (* y z) x) (- (* t z) x))) (/ 1 (+ x 1.0)))
64.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify110.0ms

Algorithm

egg-herbie

Counts

228 → 228

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	727	2284
1	3097	2154
2	5002	2099

prune396.0ms

Filtered

228 candidates to 136 candidates (59.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	228	0	228
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	228	8	236

Merged error: 0.0b

Counts

236 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

4.8b	(cbrt (- (* y z) x))
7.2b	(cbrt (- (* t z) x))
7.2b	(cbrt (- (* t z) x))
7.2b	(cbrt (- (* t z) x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod` `add-sqr-sqrt`
24×	`*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div` `distribute-lft-out--` `difference-of-squares`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `associate-l` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

8.0ms	(cbrt (- (* y z) x))
8.0ms	(cbrt (- (* t z) x))
8.0ms	(cbrt (- (* t z) x))
9.0ms	(cbrt (- (* t z) x))

series576.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (- (* y z) x))
142.0ms	(cbrt (- (* t z) x))
149.0ms	(cbrt (- (* t z) x))
139.0ms	(cbrt (- (* t z) x))

simplify126.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 4 (117.0ms)

Iter	Nodes	Cost
0	290	616
1	669	588
2	1740	564
3	4050	552
4	5001	548

prune321.0ms

Filtered

88 candidates to 76 candidates (86.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

regimes171.0ms

Accuracy

23.3% (3.1b remaining)

Error of 3.3b against oracle of 0.2b and baseline of 4.3b

bsearch103.0ms

Steps

Iters	Range		Point
8	1.1014326880193949e+92	6.1088043612585184e+94	5.735434029505539e+92
7	-7.33017579798702e-213	-7.60612984486404e-215	-9.440250919566794e-214

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	23
1	37	23

end0.0ms

sample584.0ms

Algorithm

intervals

Results

356.0ms

8349×

body

valid