Details

sample88.0ms

Algorithm

intervals

Results

23.0ms	33×	body	1280	valid
17.0ms	207×	body	80	valid
9.0ms	21×	body	640	valid
7.0ms	108×	body	80	nan
6.0ms	20×	body	320	valid
2.0ms	10×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	55	11
4	154	11
5	508	11
6	2085	11
done	5001	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b	(* y (log (/ y (+ z y))))
9.9b	(log (/ y (+ z y)))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
42×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`distribute-lft-out`
11×	`add-exp-log`
8×	`pow1` `associate-/r/` `add-cbrt-cube`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u` `div-inv`
3×	`fma-def` `associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

14.0ms	(/ y (+ z y))
101.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
21.0ms	(* y (log (/ y (+ z y))))
12.0ms	(log (/ y (+ z y)))

series380.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ y (+ z y))
142.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
122.0ms	(* y (log (/ y (+ z y))))
64.0ms	(log (/ y (+ z y)))

simplify841.0ms

Counts

152 → 152

Iterations

Useful iterations: done (832.0ms)

Iter	Nodes	Cost
0	207	1965
1	465	1858
2	1340	1711
done	5000	1666

prune609.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.8b	(log (/ (cbrt y) (cbrt (+ z y))))
3.8b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite59.0ms

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:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
19.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
19.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series856.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt y)
315.0ms	(cbrt y)
131.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
123.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.5s

Counts

160 → 160

Iterations

Useful iterations: 3 (612.0ms)

Iter	Nodes	Cost
0	177	2306
1	325	2146
2	793	2060
3	3130	1986
done	5000	1986

prune850.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)
9.9b	(log (/ y (+ z y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`log-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `distribute-lft-out`
2×	`rem-log-exp` `associate-/r/`
1×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
7.0ms	(log (/ y (+ z y)))

series927.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(cbrt x)
299.0ms	(cbrt x)
253.0ms	(cbrt x)
69.0ms	(log (/ y (+ z y)))

simplify885.0ms

Counts

82 → 82

Iterations

Useful iterations: 3 (332.0ms)

Iter	Nodes	Cost
0	109	590
1	206	555
2	439	520
3	1488	498
done	5000	498

prune393.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (exp (- z)) y) x)
0.0b	(/ (exp (- z)) y)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`times-frac`
17×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`fma-def`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `exp-neg` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `clear-num` `sum-log` `flip-+` `distribute-lft-out`

Counts

2 → 58

Calls

2 calls:

62.0ms	(+ (/ (exp (- z)) y) x)
23.0ms	(/ (exp (- z)) y)

series84.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (/ (exp (- z)) y) x)
38.0ms	(/ (exp (- z)) y)

simplify698.0ms

Counts

64 → 64

Iterations

Useful iterations: done (696.0ms)

Iter	Nodes	Cost
0	91	509
1	202	484
2	750	458
done	5000	449

prune248.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes191.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	26
1	20	26
done	20	26

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.1s	6565×	body	80	valid
669.0ms	763×	body	1280	valid
438.0ms	931×	body	640	valid
314.0ms	3099×	body	80	nan
165.0ms	556×	body	320	valid
55.0ms	294×	body	160	valid