Details

sample28.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify86.0ms

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

prune5.0ms

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	(+ 2.30753 (* x 0.27061))
0.0b	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
14.5b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite46.0ms

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:

2.0ms	(+ 2.30753 (* x 0.27061))
22.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
7.0ms	(* (+ 0.99229 (* x 0.04481)) x)
10.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ 2.30753 (* x 0.27061))
86.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
66.0ms	(* (+ 0.99229 (* x 0.04481)) x)
57.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify89.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	743	3423
1	2813	2342
2	5002	2125

prune313.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (+ 0.99229 (* x 0.04481)) 1.0)
0.1b	(pow (/ (fma 0.27061 x 2.30753) (fma x (+ 0.99229 (* x 0.04481)) 1.0)) 3)
14.5b	(/ (fma 0.27061 x 2.30753) (fma x (+ 0.99229 (* x 0.04481)) 1.0))
18.9b	(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (+ 0.99229 (* x 0.04481)) 1.0)) 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube` `fma-udef`

Counts

4 → 131

Calls

4 calls:

0.0ms	(fma x (+ 0.99229 (* x 0.04481)) 1.0)
4.0ms	(pow (/ (fma 0.27061 x 2.30753) (fma x (+ 0.99229 (* x 0.04481)) 1.0)) 3)
2.0ms	(/ (fma 0.27061 x 2.30753) (fma x (+ 0.99229 (* x 0.04481)) 1.0))
4.0ms	(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (+ 0.99229 (* x 0.04481)) 1.0)) 3))

series250.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(fma x (+ 0.99229 (* x 0.04481)) 1.0)
92.0ms	(pow (/ (fma 0.27061 x 2.30753) (fma x (+ 0.99229 (* x 0.04481)) 1.0)) 3)
62.0ms	(/ (fma 0.27061 x 2.30753) (fma x (+ 0.99229 (* x 0.04481)) 1.0))
67.0ms	(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (+ 0.99229 (* x 0.04481)) 1.0)) 3))

simplify63.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	452	1373
1	2018	1242
2	5003	1201

prune327.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

1.1b	(/ (- (fma 0.27061 x 2.30753)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3)))
1.1b	(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3)))
22.0b	(fma (fma x (* (fma 0.04481 x 0.99229) (fma x (fma 0.04481 x 0.99229) (- 1.0))) (* 1.0 1.0)) (/ (- (fma 0.27061 x 2.30753)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3))) x)
22.5b	(* (fma (* (+ 0.99229 (* x 0.04481)) x) (- (* (+ 0.99229 (* x 0.04481)) x) 1.0) (* 1.0 1.0)) (+ (/ (- (fma 0.27061 x 2.30753)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3))) (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3)))))

rewrite584.0ms

Algorithm

rewrite-expression-head

Rules

129×	`*-un-lft-identity`
93×	`times-frac`
51×	`add-sqr-sqrt`
49×	`add-cube-cbrt`
38×	`distribute-lft-out`
25×	`distribute-rgt-neg-in`
21×	`associate-r`
19×	`sum-cubes`
18×	`distribute-lft-neg-in`
13×	`associate-/l*`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`associate-/r/`
6×	`pow1` `neg-mul-1` `flip3-+` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`distribute-rgt-out` `associate-r/` `associate-l*`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `associate-/l/`
1×	`neg-sub0` `distribute-rgt-in` `distribute-lft-in` `div-sub` `distribute-frac-neg` `pow-prod-down` `frac-add` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 177

Calls

4 calls:

22.0ms	(/ (- (fma 0.27061 x 2.30753)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3)))
24.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3)))
0.0ms	(fma (fma x (* (fma 0.04481 x 0.99229) (fma x (fma 0.04481 x 0.99229) (- 1.0))) (* 1.0 1.0)) (/ (- (fma 0.27061 x 2.30753)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3))) x)
526.0ms	(* (fma (* (+ 0.99229 (* x 0.04481)) x) (- (* (+ 0.99229 (* x 0.04481)) x) 1.0) (* 1.0 1.0)) (+ (/ (- (fma 0.27061 x 2.30753)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3))) (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3)))))

series905.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (- (fma 0.27061 x 2.30753)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3)))
85.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3)))
125.0ms	(fma (fma x (* (fma 0.04481 x 0.99229) (fma x (fma 0.04481 x 0.99229) (- 1.0))) (* 1.0 1.0)) (/ (- (fma 0.27061 x 2.30753)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3))) x)
602.0ms	(* (fma (* (+ 0.99229 (* x 0.04481)) x) (- (* (+ 0.99229 (* x 0.04481)) x) 1.0) (* 1.0 1.0)) (+ (/ (- (fma 0.27061 x 2.30753)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3))) (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* (+ 0.99229 (* x 0.04481)) x) 3)))))

simplify122.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	814	3413
1	3831	3016
2	5001	3015

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

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	17	8
1	17	8

end0.0ms

sample672.0ms

Algorithm

intervals

Results

574.0ms

8000×

body

valid