Details

sample41.0ms

Algorithm

intervals

Results

29.0ms

256×

body

valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	35	10
1	64	10
2	143	10
3	288	10
4	443	10
5	563	10
6	648	10
7	817	10
8	1060	10
9	1066	10
10	1066	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z 0.0692910599291889) 0.4917317610505968)
0.0b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
4.7b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
23.3b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

3.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
10.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
20.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
20.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series266.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
63.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
53.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
118.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify67.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	479	705
1	2236	601
2	5002	601

prune247.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z 0.0692910599291889) 0.4917317610505968)
0.0b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.1b	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
19.7b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
18×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-/r/`
3×	`prod-exp` `associate-/r` `cbrt-unprod` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `associate-*r/` `clear-num` `sum-log`

Counts

4 → 96

Calls

4 calls:

3.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
10.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
40.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
21.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series281.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
65.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
118.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
65.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify73.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	499	1062
1	2187	948
2	5002	948

prune298.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z 0.0692910599291889) 0.4917317610505968)
0.0b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.3b	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
19.8b	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
60×	`add-sqr-sqrt`
58×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
8×	`flip3-+` `flip-+`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l`
2×	`frac-2neg` `associate-*l/` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

3.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
11.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
23.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
22.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

series274.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* z 0.0692910599291889) 0.4917317610505968)
63.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
116.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
63.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

simplify87.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	685	2031
1	3036	1917
2	5002	1915

prune456.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.40462203869992125 (/ 1 (pow z 2)))
0.3b	(* 0.07512208616047561 (/ 1 z))
0.7b	(/ 1 (pow z 2))
2.6b	(* y (- (+ (* 0.07512208616047561 (/ 1 z)) 0.0692910599291889) (* 0.40462203869992125 (/ 1 (pow z 2)))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
67×	`times-frac`
52×	`*-un-lft-identity`
47×	`add-cube-cbrt`
44×	`add-exp-log` `associate-r`
23×	`unpow-prod-down`
18×	`add-cbrt-cube`
15×	`prod-exp`
14×	`div-exp`
13×	`unswap-sqr`
10×	`pow1` `associate-*r/`
9×	`associate-l` `unpow2` `sqr-pow`
8×	`associate-/r*`
7×	`rec-exp` `1-exp`
6×	`pow-to-exp` `pow-exp`
5×	`cbrt-unprod`
4×	`un-div-inv` `frac-sub` `add-log-exp`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `-commutative` `div-inv` `associate-/l`
2×	`sub-neg` `flip3-+` `associate--l+` `flip-+`
1×	`flip3--` `pow-flip` `frac-2neg` `clear-num` `flip--` `inv-pow`

Counts

4 → 186

Calls

4 calls:

14.0ms	(* 0.40462203869992125 (/ 1 (pow z 2)))
8.0ms	(* 0.07512208616047561 (/ 1 z))
4.0ms	(/ 1 (pow z 2))
76.0ms	(* y (- (+ (* 0.07512208616047561 (/ 1 z)) 0.0692910599291889) (* 0.40462203869992125 (/ 1 (pow z 2)))))

series115.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 0.40462203869992125 (/ 1 (pow z 2)))
16.0ms	(* 0.07512208616047561 (/ 1 z))
16.0ms	(/ 1 (pow z 2))
55.0ms	(* y (- (+ (* 0.07512208616047561 (/ 1 z)) 0.0692910599291889) (* 0.40462203869992125 (/ 1 (pow z 2)))))

simplify83.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	685	1077
1	3187	880
2	5002	798

prune395.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes118.0ms

Accuracy

99% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 16.2b

bsearch180.0ms

Steps

Iters	Range		Point
8	1.3474499059184903e-05	0.4954286465087044	0.4879991616232799
9	-9.07699750933918e+46	-8.880305026794884e+40	-8.768612124043842e+45

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	19
1	56	19

end0.0ms

sample1.1s

Algorithm

intervals

Results

923.0ms

8000×

body

valid