Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

332×

body

valid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	5
1	25	5
2	41	5
3	63	5
4	80	5
5	96	5
6	113	5
7	121	5
8	124	5
9	124	5

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: 2.8b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ y z) (/ t (- 1.0 z)))
0.0b	(/ t (- 1.0 z))
2.7b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

1192×	`times-frac`
1082×	`add-sqr-sqrt`
1078×	`*-un-lft-identity`
819×	`prod-diff`
814×	`add-cube-cbrt`
275×	`distribute-rgt-in` `distribute-lft-in`
129×	`distribute-lft-out--` `difference-of-squares`
104×	`div-inv`
80×	`associate-/r/`
42×	`flip3--` `flip--`
13×	`fma-neg`
10×	`associate-r`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r*` `add-log-exp`
3×	`expm1-log1p-u` `sub-neg` `associate-r/` `associate-l` `log1p-expm1-u` `associate-/l`
2×	`frac-sub`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 927

Calls

3 calls:

25.0ms	(- (/ y z) (/ t (- 1.0 z)))
5.0ms	(/ t (- 1.0 z))
48.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series121.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- (/ y z) (/ t (- 1.0 z)))
40.0ms	(/ t (- 1.0 z))
47.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify261.0ms

Algorithm

egg-herbie

Counts

936 → 936

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	1661	27825
1	5001	22260

prune1.5s

Filtered

936 candidates to 376 candidates (40.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	926	10	936
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	926	11	937

Merged error: 0.0b

Counts

937 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

1.2b	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
5.0b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.0b	(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.0b	(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
33×	`cbrt-div`
30×	`cbrt-prod`
24×	`times-frac`
18×	`associate-*r/`
12×	`distribute-lft-out--` `difference-of-squares`
11×	`flip3--` `frac-sub` `flip--`
9×	`pow1` `add-exp-log` `frac-times`
8×	`add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

44.0ms	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
17.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
17.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
17.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

series525.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
135.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
129.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))
135.0ms	(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify76.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	434	1395
1	1015	1306
2	2712	1295
3	5003	1247

prune372.0ms

Filtered

117 candidates to 92 candidates (78.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	116	12	128

Merged error: 0.0b

Counts

128 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.1b	(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
2.0b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

rewrite354.0ms

Algorithm

rewrite-expression-head

Rules

2312×	`times-frac`
2077×	`add-sqr-sqrt`
2072×	`*-un-lft-identity`
1638×	`prod-diff`
1593×	`add-cube-cbrt`
1375×	`distribute-rgt-in` `distribute-lft-in`
238×	`distribute-lft-out--` `difference-of-squares`
204×	`div-inv`
156×	`associate-/r/`
80×	`flip3--` `flip--`
18×	`pow1` `add-exp-log`
11×	`associate-r` `add-cbrt-cube`
10×	`cbrt-prod`
9×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`sub-neg`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `frac-sub` `unswap-sqr`

Counts

4 → 1737

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
48.0ms	(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
74.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

series587.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt x)
174.0ms	(cbrt x)
161.0ms	(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
75.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))

simplify577.0ms

Algorithm

egg-herbie

Counts

1749 → 1749

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5001	68301

prune5.8s

Filtered

1749 candidates to 1239 candidates (70.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1747	2	1749
Fresh	3	6	9
Picked	1	0	1
Done	0	2	2
Total	1751	10	1761

Merged error: 0.0b

Counts

1761 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
1.0b	(* (cbrt x) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
1.1b	(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
1.2b	(* (cbrt x) (* (cbrt x) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))))

rewrite848.0ms

Algorithm

rewrite-expression-head

Rules

5384×	`times-frac`
4816×	`add-sqr-sqrt`
4811×	`*-un-lft-identity`
4675×	`distribute-rgt-in` `distribute-lft-in`
3822×	`prod-diff`
3708×	`add-cube-cbrt`
550×	`distribute-lft-out--` `difference-of-squares`
476×	`div-inv`
364×	`associate-/r/`
185×	`flip3--` `flip--`
20×	`pow1` `add-exp-log`
18×	`associate-r/` `associate-l*`
14×	`sub-neg`
13×	`cbrt-prod`
12×	`associate-r`
10×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `frac-sub`
2×	`unswap-sqr`
1×	`pow1/3`

Counts

4 → 3952

Calls

4 calls:

1.0ms	(cbrt x)
72.0ms	(* (cbrt x) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
48.0ms	(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
124.0ms	(* (cbrt x) (* (cbrt x) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))))

series586.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt x)
197.0ms	(* (cbrt x) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z)))))
144.0ms	(* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))
73.0ms	(* (cbrt x) (* (cbrt x) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))))

simplify1.4s

Algorithm

egg-herbie

Counts

3964 → 3964

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5001	160066

prune13.6s

Filtered

3964 candidates to 2794 candidates (70.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	3964	0	3964
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	3964	10	3974

Merged error: 0.0b

Counts

3974 → 10

regimes329.0ms

Accuracy

2% (4.3b remaining)

Error of 4.4b against oracle of 0.1b and baseline of 4.5b

bsearch116.0ms

Steps

Iters	Range		Point
10	7.111626454084177e-242	3.463139099111486e-229	6.583302129873425e-239
10	2.07510254239945e-292	9.276151898102488e-276	5.4404147749442655e-292

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	13
1	30	13

end0.0ms

sample656.0ms

Algorithm

intervals

Results

381.0ms

10164×

body

valid