Details

sample56.0ms

Algorithm

intervals

Results

18.0ms	43×	body	1280	valid
12.0ms	45×	body	640	valid
7.0ms	171×	body	80	valid
3.0ms	22×	body	320	valid
2.0ms	84×	body	80	nan
2.0ms	18×	body	160	valid

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (9.0ms)

Iter	Nodes	Cost
0	15	6
1	24	6
2	51	6
3	108	6
4	310	4
5	792	4
6	4192	4
7	5002	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* x (log (/ x (+ x y))))) x)
0.0b	(/ x (+ x y))
0.1b	(* x (log (/ x (+ x y))))
10.2b	(log (/ x (+ x y)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

261×	`times-frac`
221×	`*-un-lft-identity`
198×	`log-prod`
149×	`add-sqr-sqrt`
147×	`add-cube-cbrt`
144×	`exp-sum`
90×	`distribute-rgt-in` `distribute-lft-in`
42×	`associate-/l*`
37×	`distribute-lft-out`
24×	`associate-/r/`
13×	`div-inv`
12×	`add-exp-log` `flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`pow1`
7×	`associate-/r*`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`div-exp` `associate-l`
2×	`cbrt-undiv` `frac-2neg` `rem-log-exp` `clear-num` `log-pow`
1×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 296

Calls

4 calls:

41.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
5.0ms	(/ x (+ x y))
11.0ms	(* x (log (/ x (+ x y))))
4.0ms	(log (/ x (+ x y)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(/ (exp (* x (log (/ x (+ x y))))) x)
40.0ms	(/ x (+ x y))
82.0ms	(* x (log (/ x (+ x y))))
55.0ms	(log (/ x (+ x y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	838	3073
1	2887	2638
2	5002	2622

prune598.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
3.6b	(log (/ (cbrt x) (cbrt (+ x y))))
4.3b	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

61×	`log-prod`
51×	`cbrt-prod`
46×	`*-un-lft-identity`
43×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `rem-log-exp` `flip-+`
6×	`pow1` `distribute-lft-out`
5×	`div-exp`
4×	`expm1-log1p-u` `frac-times` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `pow1/3` `associate-r/` `associate-l/` `log-pow` `div-inv`

Counts

4 → 116

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
6.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
12.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

series524.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt x)
180.0ms	(cbrt x)
73.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
84.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

simplify96.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	449	1200
1	1120	1128
2	3610	1084
3	5002	1070

prune524.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
3.6b	(log (/ (cbrt x) (cbrt (+ x y))))
3.6b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod` `log-prod`
84×	`*-un-lft-identity` `times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-div` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 148

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
6.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
6.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series520.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt x)
183.0ms	(cbrt x)
76.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
76.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify83.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	318	1502
1	772	1456
2	2360	1424
3	5002	1350

prune561.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (* -1 y)) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`pow1` `cbrt-undiv` `exp-neg` `expm1-log1p-u` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

3.0ms

(/ (exp (* -1 y)) x)

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(/ (exp (* -1 y)) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	118	194
1	313	179
2	1512	177
3	5001	177

prune67.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes49.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 5.9b

bsearch97.0ms

Steps

Iters	Range		Point
8	0.01694346711308432	10.298044827647965	6.201226929160211
10	-48697182374164.98	-6.3299436832828755e-06	-45873.078033472484

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	19
1	37	19
2	37	19

end0.0ms

sample1.8s

Algorithm

intervals

Results

672.0ms	1524×	body	1280	valid
379.0ms	1475×	body	640	valid
215.0ms	4876×	body	80	valid
141.0ms	841×	body	320	valid
87.0ms	2946×	body	80	nan
49.0ms	464×	body	160	valid