Details

sample27.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	8
1	50	8
2	69	8
3	75	8
4	75	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
14.8b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

2.0ms	(+ 0.99229 (* x 0.04481))
2.0ms	(+ 2.30753 (* x 0.27061))
8.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series190.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ 0.99229 (* x 0.04481))
32.0ms	(+ 2.30753 (* x 0.27061))
64.0ms	(* x (+ 0.99229 (* x 0.04481)))
60.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	421	651
1	1810	561
2	5001	544

prune252.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229))))) x)
0.0b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229)))))
0.0b	(+ 2.30753 (* x 0.27061))
3.0b	(log (pow (exp x) (fma 0.04481 x 0.99229)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

100×	`*-un-lft-identity`
71×	`add-sqr-sqrt`
66×	`add-cube-cbrt`
61×	`times-frac`
54×	`prod-diff`
18×	`fma-neg`
16×	`distribute-lft-out`
10×	`associate-/r/`
8×	`log-prod` `add-log-exp`
7×	`add-exp-log` `flip3-+` `flip-+`
6×	`add-cbrt-cube`
5×	`div-inv`
4×	`pow1` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
3×	`unpow-prod-down` `fma-def` `rem-log-exp` `associate-/l*`
2×	`associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `unpow-prod-up` `+-commutative` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-exp` `clear-num` `sum-log` `log-pow` `flip--` `fma-udef` `distribute-lft-out--` `sqr-pow`

Counts

4 → 163

Calls

4 calls:

55.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229))))) x)
11.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229)))))
2.0ms	(+ 2.30753 (* x 0.27061))
2.0ms	(log (pow (exp x) (fma 0.04481 x 0.99229)))

series625.0ms

Counts

4 → 12

Calls

4 calls:

316.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229))))) x)
163.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229)))))
36.0ms	(+ 2.30753 (* x 0.27061))
110.0ms	(log (pow (exp x) (fma 0.04481 x 0.99229)))

simplify80.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	556	2481
1	1972	1840
2	5003	1757

prune422.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
1.6b	(expm1 (log1p (+ 2.30753 (* x 0.27061))))
7.5b	(/ (expm1 (log1p (+ 2.30753 (* x 0.27061)))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

2.0ms	(+ 2.30753 (* x 0.27061))
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
0.0ms	(expm1 (log1p (+ 2.30753 (* x 0.27061))))
4.0ms	(/ (expm1 (log1p (+ 2.30753 (* x 0.27061)))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series376.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ 2.30753 (* x 0.27061))
67.0ms	(* x (+ 0.99229 (* x 0.04481)))
114.0ms	(expm1 (log1p (+ 2.30753 (* x 0.27061))))
162.0ms	(/ (expm1 (log1p (+ 2.30753 (* x 0.27061)))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify77.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	632	858
1	2685	734
2	5001	717

prune303.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample543.0ms

Algorithm

intervals

Results

453.0ms

8000×

body

valid