Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

267×

body

valid

simplify48.0ms

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

prune2.0ms

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: 9.3b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(- (* t z) x)
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.9b	(/ (- (* y z) x) (- (* t z) x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
24×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
6×	`prod-diff`
4×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/`
3×	`div-sub`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`associate-+r-`

Counts

4 → 113

Calls

4 calls:

4.0ms	(- (* y z) x)
4.0ms	(- (* t z) x)
15.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0ms	(/ (- (* y z) x) (- (* t z) x))

series218.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* y z) x)
23.0ms	(- (* t z) x)
114.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
57.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify60.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	462	1042
1	2015	941
2	5001	941

prune302.0ms

Filtered

125 candidates to 90 candidates (72.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	116	9	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	9	126

Merged error: 0.3b

Counts

126 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
2.4b	(fma (/ y (- (* t z) x)) z x)
3.0b	(/ x (- (* t z) x))
3.9b	(/ y (- (* t z) x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
15×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`associate-/l*`
7×	`associate-/r*`
6×	`associate-/r/`
5×	`div-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`flip3--` `associate-*l/` `prod-exp` `flip--`
1×	`flip3-+` `1-exp` `cbrt-unprod` `flip-+` `fma-udef`

Counts

4 → 98

Calls

4 calls:

6.0ms	(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
1.0ms	(fma (/ y (- (* t z) x)) z x)
5.0ms	(/ x (- (* t z) x))
5.0ms	(/ y (- (* t z) x))

series222.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (fma (/ y (- (* t z) x)) z x) (* (+ x 1.0) 1))
53.0ms	(fma (/ y (- (* t z) x)) z x)
59.0ms	(/ x (- (* t z) x))
28.0ms	(/ y (- (* t z) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	423	735
1	1590	652
2	5001	650

prune294.0ms

Filtered

110 candidates to 88 candidates (80.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	110	9	119

Merged error: 0.2b

Counts

119 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ 1 (+ x 1.0)) (fma (/ y (- (* t z) x)) z x))
2.4b	(fma (/ y (- (* t z) x)) z x)
3.0b	(/ x (- (* t z) x))
3.9b	(/ y (- (* t z) x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `*-un-lft-identity`
32×	`times-frac`
29×	`add-cube-cbrt`
18×	`associate-l`
17×	`add-exp-log`
13×	`add-cbrt-cube`
6×	`pow1` `associate-/r` `associate-/r/` `associate-/l`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-r` `fma-udef` `div-inv` `distribute-lft-out` `unswap-sqr`
2×	`flip3--` `frac-2neg` `clear-num` `flip--` `cbrt-unprod`
1×	`distribute-rgt-in` `rec-exp` `distribute-lft-in` `flip3-+` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `flip-+`

Counts

4 → 116

Calls

4 calls:

9.0ms	(* (/ 1 (+ x 1.0)) (fma (/ y (- (* t z) x)) z x))
1.0ms	(fma (/ y (- (* t z) x)) z x)
5.0ms	(/ x (- (* t z) x))
6.0ms	(/ y (- (* t z) x))

series257.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (/ 1 (+ x 1.0)) (fma (/ y (- (* t z) x)) z x))
53.0ms	(fma (/ y (- (* t z) x)) z x)
61.0ms	(/ x (- (* t z) x))
28.0ms	(/ y (- (* t z) x))

simplify77.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	468	900
1	1905	801
2	5002	791

prune372.0ms

Filtered

128 candidates to 99 candidates (77.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	128	9	137

Merged error: 0.2b

Counts

137 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.2b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
0.3b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
11.9b	(/ (- (* t z) x) (- (* y z) x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
95×	`*-un-lft-identity`
68×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`associate-/r/` `add-cbrt-cube`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/`
3×	`frac-2neg` `prod-diff` `clear-num`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `div-sub` `inv-pow`

Counts

4 → 185

Calls

4 calls:

4.0ms	(- (* t z) x)
10.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
21.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
9.0ms	(/ (- (* t z) x) (- (* y z) x))

series307.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* t z) x)
81.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
144.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
59.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify96.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	686	2096
1	3396	1893
2	5001	1810

prune318.0ms

Filtered

197 candidates to 118 candidates (59.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	198	8	206

Merged error: 0.2b

Counts

206 → 8

regimes161.0ms

Accuracy

28.4% (3.4b remaining)

Error of 3.7b against oracle of 0.4b and baseline of 5.1b

bsearch83.0ms

Steps

Iters	Range		Point
6	1.80625009678284e-82	2.416860473021773e-81	9.898673287339508e-82
7	-1.628339896851984e+59	-5.1217359030201664e+57	-2.681890316947814e+58

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	34
1	42	34

end0.0ms

sample777.0ms

Algorithm

intervals

Results

565.0ms

8299×

body

valid

Details

sample26.0ms

simplify48.0ms

prune2.0ms

localize11.0ms

rewrite36.0ms

series218.0ms

simplify60.0ms

prune302.0ms

localize14.0ms

rewrite20.0ms

series222.0ms

simplify45.0ms

prune294.0ms

localize17.0ms

rewrite24.0ms

series257.0ms

simplify77.0ms

prune372.0ms

localize12.0ms

rewrite51.0ms

series307.0ms

simplify96.0ms

prune318.0ms

regimes161.0ms

bsearch83.0ms

simplify2.0ms

end0.0ms

sample777.0ms

Profiling