Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	8
1	39	6
2	66	6
3	98	6
4	108	6
5	130	6
6	158	6
7	211	6
8	277	6
9	512	6
10	881	6
11	1338	6
12	2728	6
13	5001	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
17.2b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 136

Calls

4 calls:

3.0ms	(+ 0.99229 (* x 0.04481))
11.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series256.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ 0.99229 (* x 0.04481))
88.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
70.0ms	(* (+ 0.99229 (* x 0.04481)) x)
65.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	740	3423
1	2781	2296
2	5003	2078

prune343.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b	(/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))
0.5b	(pow (exp (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))) (fma 0.27061 x 2.30753))
0.8b	(log (pow (exp (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))) (fma 0.27061 x 2.30753)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`add-cbrt-cube`
8×	`pow1` `log-prod` `pow-pow`
7×	`exp-prod`
6×	`unpow-prod-down` `times-frac` `1-exp` `div-exp` `prod-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `pow-unpow` `rem-log-exp` `fma-udef` `associate-/l*`
2×	`cbrt-undiv` `unpow-prod-up` `pow-to-exp` `pow-flip` `pow-exp` `div-inv` `sqr-pow`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r*` `log-pow` `cbrt-unprod` `inv-pow`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))
5.0ms	(pow (exp (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))) (fma 0.27061 x 2.30753))
4.0ms	(log (pow (exp (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))) (fma 0.27061 x 2.30753)))

series680.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
52.0ms	(/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))
204.0ms	(pow (exp (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))) (fma 0.27061 x 2.30753))
397.0ms	(log (pow (exp (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))) (fma 0.27061 x 2.30753)))

simplify45.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	388	735
1	1586	632
2	5001	600

prune437.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))
0.2b	(/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))
0.5b	(pow (exp (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))) (* 0.27061 x))
0.8b	(log (* (pow (exp (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))) (* 0.27061 x)) (pow (exp (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))) 2.30753)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
21×	`prod-exp`
14×	`add-cbrt-cube`
12×	`pow1` `1-exp` `div-exp`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`rem-log-exp`
9×	`times-frac`
8×	`pow-pow`
7×	`pow-to-exp` `exp-prod` `pow-exp`
6×	`rec-exp` `associate-/l*`
4×	`cbrt-undiv` `expm1-log1p-u` `pow-flip` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `div-inv`
2×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r*` `log-pow` `cbrt-unprod` `inv-pow`
1×	`pow-unpow` `log-prod` `pow-prod-up` `sqr-pow`

Counts

4 → 112

Calls

4 calls:

5.0ms	(/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))
5.0ms	(/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))
5.0ms	(pow (exp (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))) (* 0.27061 x))
8.0ms	(log (* (pow (exp (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))) (* 0.27061 x)) (pow (exp (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))) 2.30753)))

series1.0s

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))
45.0ms	(/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))
202.0ms	(pow (exp (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))) (* 0.27061 x))
729.0ms	(log (* (pow (exp (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))) (* 0.27061 x)) (pow (exp (/ 1 (* (fma x (fma 0.04481 x 0.99229) 1.0) 1))) 2.30753)))

simplify46.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	348	808
1	1533	696
2	5002	648

prune387.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
17.2b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
3.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series604.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
182.0ms	(cbrt x)
176.0ms	(cbrt x)
66.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	185	379
1	539	349
2	2491	339
3	5001	333

prune270.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	16
1	25	16
2	25	16

end0.0ms

sample374.0ms

Algorithm

intervals

Results

277.0ms

8000×

body

valid