Details

sample56.0ms

Algorithm

intervals

Results

38.0ms

256×

body

valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	11
1	154	11
2	503	11
3	1840	11
4	5003	11

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y)
0.1b	(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
0.3b	(/ (- x 2.0) (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)))
27.6b	(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
96×	`add-sqr-sqrt` `*-un-lft-identity`
68×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `fma-udef` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--`

Counts

4 → 152

Calls

4 calls:

0.0ms	(fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y)
0.0ms	(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
12.0ms	(/ (- x 2.0) (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)))
2.0ms	(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))

series539.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y)
25.0ms	(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
283.0ms	(/ (- x 2.0) (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)))
177.0ms	(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))

simplify92.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	677	2773
1	2621	2640
2	5001	2638

prune779.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y)
0.1b	(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
0.3b	(/ (- x 2.0) (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (pow (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) 1) x z)))
27.6b	(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (pow (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) 1) x z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
96×	`add-sqr-sqrt` `*-un-lft-identity`
68×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `fma-udef` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--`

Counts

4 → 152

Calls

4 calls:

0.0ms	(fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y)
0.0ms	(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
15.0ms	(/ (- x 2.0) (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (pow (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) 1) x z)))
2.0ms	(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (pow (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) 1) x z))

series549.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y)
26.0ms	(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
286.0ms	(/ (- x 2.0) (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (pow (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) 1) x z)))
178.0ms	(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (pow (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) 1) x z))

simplify98.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	681	2985
1	2658	2804
2	5001	2798

prune781.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 2.0) (/ (* 1 (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)) (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606)))
0.0b	(fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y)
0.1b	(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
27.5b	(/ (* 1 (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)) (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
18×	`add-cbrt-cube`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt`
8×	`prod-exp`
7×	`associate-r`
6×	`pow1` `times-frac` `div-exp`
5×	`associate-l` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*`
2×	`frac-times` `flip3--` `1-exp` `associate-*l/` `flip--` `fma-udef` `div-inv`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

18.0ms	(* (- x 2.0) (/ (* 1 (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)) (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606)))
0.0ms	(fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y)
0.0ms	(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
4.0ms	(/ (* 1 (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)) (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))

series616.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(* (- x 2.0) (/ (* 1 (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)) (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606)))
54.0ms	(fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y)
25.0ms	(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
245.0ms	(/ (* 1 (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)) (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))

simplify56.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	434	1021
1	1752	844
2	5003	842

prune399.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

16.5b	(cbrt (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))
16.5b	(cbrt (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))
16.5b	(cbrt (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))
24.3b	(/ (* (cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606)) (cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))) (* (cbrt (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)) (cbrt (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

0.0ms	(cbrt (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))
0.0ms	(cbrt (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))
0.0ms	(cbrt (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))
7.0ms	(/ (* (cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606)) (cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))) (* (cbrt (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)) (cbrt (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))))

series983.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(cbrt (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))
202.0ms	(cbrt (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))
202.0ms	(cbrt (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))
370.0ms	(/ (* (cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606)) (cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))) (* (cbrt (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)) (cbrt (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))))

simplify106.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	349	1219
1	1100	1000
2	4699	896
3	5001	884

prune491.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes441.0ms

Accuracy

96.1% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 24.5b

bsearch241.0ms

Steps

Iters	Range		Point
10	0.000608309806168642	2529654550.545884	2485685511.02154
6	-1.046981426553593e+65	-8.859779060336632e+63	-1.054541883482835e+64

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	16
1	46	16
2	46	16

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.3s

8010×

body

valid