Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify61.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 23.9b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
5.2b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
23.1b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt`
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` `distribute-lft-out` `associate-/l*`

Counts

4 → 79

Calls

4 calls:

14.0ms	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
10.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
15.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series427.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
61.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
54.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
120.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify67.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	534	840
1	2452	738
2	5003	738

prune210.0ms

Filtered

91 candidates to 65 candidates (71.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	86	5	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	5	92

Merged error: 0.0b

Counts

92 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ z 6.012459259764103) z)
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.1b	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
17.8b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

6.0ms	(* (+ z 6.012459259764103) z)
6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
16.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
18.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series289.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ z 6.012459259764103) z)
65.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
117.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
67.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify73.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	545	1085
1	2456	970
2	5002	970

prune255.0ms

Filtered

118 candidates to 84 candidates (71.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	118	5	123

Merged error: 0.0b

Counts

123 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))))
0.1b	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.4b	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
17.8b	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
60×	`add-sqr-sqrt` `*-un-lft-identity`
58×	`add-cube-cbrt`
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` `distribute-lft-out` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

26.0ms	(+ x (/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))))
6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
15.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
14.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

series450.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(+ x (/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))))
67.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
128.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
62.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

simplify92.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	740	2166
1	3239	2054
2	5001	2052

prune380.0ms

Filtered

153 candidates to 123 candidates (80.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	153	5	158

Merged error: 0.0b

Counts

158 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 101.23733352003816 z) z)
0.2b	(+ (- 14.431876219268938 (* 15.646356830292035 (/ 1 z))) (/ (/ 101.23733352003816 z) z))
0.3b	(* 15.646356830292035 (/ 1 z))
2.9b	(/ y (+ (- 14.431876219268938 (* 15.646356830292035 (/ 1 z))) (/ (/ 101.23733352003816 z) z)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

98×	`times-frac`
74×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
20×	`add-exp-log`
16×	`add-cbrt-cube` `associate-/l*`
13×	`associate-r`
9×	`add-log-exp`
7×	`associate-/r*` `div-inv`
6×	`pow1` `div-exp`
5×	`cbrt-undiv` `distribute-lft-out`
4×	`frac-add` `prod-exp` `associate-/r/`
3×	`associate-l` `unswap-sqr`
2×	`associate-+l+` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip--` `cbrt-unprod` `flip-+`
1×	`+-commutative` `associate-+l-` `sub-neg` `rec-exp` `diff-log` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `associate-/l/`

Counts

4 → 159

Calls

4 calls:

6.0ms	(/ (/ 101.23733352003816 z) z)
14.0ms	(+ (- 14.431876219268938 (* 15.646356830292035 (/ 1 z))) (/ (/ 101.23733352003816 z) z))
7.0ms	(* 15.646356830292035 (/ 1 z))
20.0ms	(/ y (+ (- 14.431876219268938 (* 15.646356830292035 (/ 1 z))) (/ (/ 101.23733352003816 z) z)))

series136.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (/ 101.23733352003816 z) z)
19.0ms	(+ (- 14.431876219268938 (* 15.646356830292035 (/ 1 z))) (/ (/ 101.23733352003816 z) z))
16.0ms	(* 15.646356830292035 (/ 1 z))
73.0ms	(/ y (+ (- 14.431876219268938 (* 15.646356830292035 (/ 1 z))) (/ (/ 101.23733352003816 z) z)))

simplify74.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	739	1244
1	2984	1135
2	5002	1115

prune308.0ms

Filtered

171 candidates to 119 candidates (69.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	170	6	176

Merged error: 0b

Counts

176 → 6

regimes130.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 15.6b

bsearch164.0ms

Steps

Iters	Range		Point
9	4.272590306110455e-05	2402.262841793674	2350.716966770247
11	-2.587634125444219e+29	-1062840214.3435993	-1.224282332280217e+19

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	15
1	46	15

end0.0ms

sample581.0ms

Algorithm

intervals

Results

398.0ms

8000×

body

valid

Details

sample25.0ms

simplify61.0ms

prune3.0ms

localize13.0ms

rewrite47.0ms

series427.0ms

simplify67.0ms

prune210.0ms

localize13.0ms

rewrite49.0ms

series289.0ms

simplify73.0ms

prune255.0ms

localize13.0ms

rewrite67.0ms

series450.0ms

simplify92.0ms

prune380.0ms

localize11.0ms

rewrite53.0ms

series136.0ms

simplify74.0ms

prune308.0ms

regimes130.0ms

bsearch164.0ms

simplify1.0ms

end0.0ms

sample581.0ms

Profiling