Details

sample36.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	18
1	138	18
2	450	18
3	1597	18
4	5001	18

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
0.0b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
27.1b	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`associate-r` `associate-l`
8×	`associate-*l/` `associate-/l/`
7×	`flip3-+` `flip-+`
4×	`frac-times` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`flip3--` `times-frac` `pow-prod-down` `associate-/r` `-commutative` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `associate-/r/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

47.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
40.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
25.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
139.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series389.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x)
34.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
69.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
240.0ms	(/ (* (- x 2.0) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify82.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	664	1209
1	3268	1044
2	5001	1044

prune441.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 2.0) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
0.0b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
25.6b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

rewrite376.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`associate-r`
19×	`times-frac`
15×	`add-exp-log` `add-cbrt-cube`
11×	`associate-l`
10×	`pow1`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `flip--` `div-inv` `associate-/l/`
1×	`frac-2neg` `associate-*r/` `clear-num` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 111

Calls

4 calls:

189.0ms	(* (- x 2.0) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
41.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
25.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
118.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

series555.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(* (- x 2.0) (/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606)))
35.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
69.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
203.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606))

simplify85.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	673	2007
1	3094	1790
2	5001	1790

prune477.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
0.1b	(* (+ (* x 4.16438922228) 78.6994924154) x)
0.3b	(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
25.6b	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
110×	`add-sqr-sqrt`
106×	`*-un-lft-identity`
74×	`add-cube-cbrt`
18×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
10×	`flip3-+` `flip-+`
8×	`pow1` `div-inv` `associate-/l*`
6×	`associate-r` `associate-l`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `associate-/l/` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 184

Calls

4 calls:

39.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
25.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
112.0ms	(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
117.0ms	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

series493.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ (* (+ x 43.3400022514) x) 263.505074721) x)
70.0ms	(* (+ (* x 4.16438922228) 78.6994924154) x)
242.0ms	(/ (- x 2.0) (/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z)))
140.0ms	(/ (+ (* (+ (* (+ (* (+ x 43.3400022514) x) 263.505074721) x) 313.399215894) x) 47.066876606) (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z))

simplify128.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	976	4918
1	4272	4691
2	5002	4691

prune808.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

16.2b	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
16.2b	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
16.2b	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
25.6b	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))) (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)) 313.399215894) x) 47.066876606))

rewrite388.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 70

Calls

4 calls:

9.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
9.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
9.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
359.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))) (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)) 313.399215894) x) 47.066876606))

series518.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
103.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
104.0ms	(cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))
205.0ms	(/ (+ (* (+ (* (+ (* (+ (* x 4.16438922228) 78.6994924154) x) 137.519416416) x) y) x) z) (+ (* (+ (* (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721))) (* (cbrt (+ (* (+ x 43.3400022514) x) 263.505074721)) x)) 313.399215894) x) 47.066876606))

simplify54.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	413	1762
1	1400	1619
2	5001	1613

prune481.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes231.0ms

Accuracy

96.8% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 24.4b

bsearch212.0ms

Steps

Iters	Range		Point
10	3.095505661370574e+39	1.807849191685867e+49	1.421341501142409e+43
5	-5.073855505099906e+33	-1.9049013017617822e+33	-4.892908567716605e+33

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	23
1	62	23
2	62	23

end0.0ms

sample714.0ms

Algorithm

intervals

Results

489.0ms

8008×

body

valid