Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify27.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	16	12
2	24	12
3	28	12
done	28	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
10.0b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

79.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
25.0ms	(* 1.1283791670955126 (exp z))
40.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
40.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
32.0ms	(* 1.1283791670955126 (exp z))
89.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
106.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify857.0ms

Counts

96 → 96

Iterations

Useful iterations: done (850.0ms)

Iter	Nodes	Cost
0	153	1249
1	374	1179
2	1372	1105
done	5000	1104

prune317.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (fma (- x) y (* 1.1283791670955126 (exp z)))))
0.0b	(* 1.1283791670955126 (exp z))
10.0b	(/ y (fma (- x) y (* 1.1283791670955126 (exp z))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `fma-def` `associate-r` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

17.0ms	(+ x (/ y (fma (- x) y (* 1.1283791670955126 (exp z)))))
18.0ms	(* 1.1283791670955126 (exp z))
9.0ms	(/ y (fma (- x) y (* 1.1283791670955126 (exp z))))

series145.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ x (/ y (fma (- x) y (* 1.1283791670955126 (exp z)))))
18.0ms	(* 1.1283791670955126 (exp z))
76.0ms	(/ y (fma (- x) y (* 1.1283791670955126 (exp z))))

simplify671.0ms

Counts

75 → 75

Iterations

Useful iterations: done (667.0ms)

Iter	Nodes	Cost
0	133	981
1	299	930
2	1065	869
done	5000	866

prune296.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
2.4b	(/ (fma (- x) y (* 1.1283791670955126 (exp z))) (cbrt y))
7.9b	(/ (* (cbrt y) (cbrt y)) (/ (fma (- x) y (* 1.1283791670955126 (exp z))) (cbrt y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
47×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`cbrt-prod`
28×	`associate-/r*`
18×	`add-exp-log`
11×	`add-cbrt-cube`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `pow1/3` `prod-exp` `clear-num` `cbrt-unprod`
1×	`associate-/r/`

Counts

4 → 133

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(/ (fma (- x) y (* 1.1283791670955126 (exp z))) (cbrt y))
23.0ms	(/ (* (cbrt y) (cbrt y)) (/ (fma (- x) y (* 1.1283791670955126 (exp z))) (cbrt y)))

series971.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt y)
340.0ms	(cbrt y)
209.0ms	(/ (fma (- x) y (* 1.1283791670955126 (exp z))) (cbrt y))
127.0ms	(/ (* (cbrt y) (cbrt y)) (/ (fma (- x) y (* 1.1283791670955126 (exp z))) (cbrt y)))

simplify3.9s

Counts

145 → 145

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	208	2734
1	551	2644
2	4831	2325
done	5000	2324

prune649.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1 x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
39×	`prod-diff`
36×	`add-cube-cbrt`
29×	`times-frac`
4×	`div-inv`
3×	`fma-neg` `add-log-exp` `difference-of-squares`
2×	`distribute-lft-out--`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 61

Calls

1 calls:

13.0ms

(- x (/ 1 x))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(- x (/ 1 x))

simplify1.1s

Counts

64 → 64

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	140	1738
1	351	1214
2	1186	882
done	5001	752

prune74.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes146.0ms

Accuracy

99.1% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 1.9b

bsearch66.0ms

Steps

Iters	Range		Point
14	0.0	0.9999855886102569	3.092591263638519e-306

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	22
1	20	22
done	20	22

end0.0ms

sample877.0ms

Algorithm

intervals

Results

541.0ms

8000×

body

valid