Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 23.2b

Counts

2 → 1

localize18.0ms

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)
3.8b	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
22.4b	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite40.0ms

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:

9.0ms	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
9.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
14.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series113.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
9.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
11.0ms	(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
24.0ms	(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify70.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (15.0ms)

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

prune153.0ms

Filtered

65 candidates to 91 candidates (-40.0%)

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)))
17.3b	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite42.0ms

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:

5.0ms	(* (+ z 6.012459259764103) z)
6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
14.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
13.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series42.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ z 6.012459259764103) z)
6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
26.0ms	(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
5.0ms	(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify68.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (13.0ms)

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

prune182.0ms

Filtered

86 candidates to 118 candidates (-37.2%)

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)))
17.4b	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

rewrite60.0ms

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:

21.0ms	(+ x (/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))))
6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
14.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
13.0ms	(/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))

series106.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ x (/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))))
6.0ms	(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
24.0ms	(/ y (/ (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))
6.0ms	(/ (+ (* (+ 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

prune288.0ms

Filtered

123 candidates to 153 candidates (-24.4%)

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: 0b

Counts

158 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 14.431876219268938 (* 15.646356830292035 (/ 1 z))) (/ (/ 101.23733352003816 z) z))
0.1b	(/ (/ 101.23733352003816 z) z)
0.2b	(* 15.646356830292035 (/ 1 z))
2.7b	(/ y (+ (- 14.431876219268938 (* 15.646356830292035 (/ 1 z))) (/ (/ 101.23733352003816 z) z)))

rewrite47.0ms

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:

13.0ms	(+ (- 14.431876219268938 (* 15.646356830292035 (/ 1 z))) (/ (/ 101.23733352003816 z) z))
6.0ms	(/ (/ 101.23733352003816 z) z)
7.0ms	(* 15.646356830292035 (/ 1 z))
16.0ms	(/ y (+ (- 14.431876219268938 (* 15.646356830292035 (/ 1 z))) (/ (/ 101.23733352003816 z) z)))

series22.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (- 14.431876219268938 (* 15.646356830292035 (/ 1 z))) (/ (/ 101.23733352003816 z) z))
3.0ms	(/ (/ 101.23733352003816 z) z)
2.0ms	(* 15.646356830292035 (/ 1 z))
15.0ms	(/ y (+ (- 14.431876219268938 (* 15.646356830292035 (/ 1 z))) (/ (/ 101.23733352003816 z) z)))

simplify76.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	739	1244
1	2984	1135
2	5002	1114

prune201.0ms

Filtered

119 candidates to 171 candidates (-43.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	171	5	176

Merged error: 0b

Counts

176 → 5

regimes316.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.1b

bsearch29.0ms

Steps

Iters	Range		Point
8	55051054160703.41	8.783627995363305e+17	1503990699832238.2
4	-5.791403545811474e+41	-3.623570933485258e+41	-5.317190161865115e+41

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	15
1	46	15

end0.0ms

sample709.0ms

Algorithm

intervals

Results

418.0ms

8000×

body

valid

Details

sample26.0ms

simplify60.0ms

prune3.0ms

localize18.0ms

rewrite40.0ms

series113.0ms

simplify70.0ms

prune153.0ms

localize13.0ms

rewrite42.0ms

series42.0ms

simplify68.0ms

prune182.0ms

localize13.0ms

rewrite60.0ms

series106.0ms

simplify92.0ms

prune288.0ms

localize11.0ms

rewrite47.0ms

series22.0ms

simplify76.0ms

prune201.0ms

regimes316.0ms

bsearch29.0ms

simplify2.0ms

end0.0ms

sample709.0ms

Profiling