Details

analyze483.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	74.9%	25.1%	5
0%	74.9%	25.1%	6
0%	74.9%	25.1%	7
6.2%	56.2%	37.6%	8
7.8%	53%	39.2%	9
10.9%	45.6%	43.4%	10
18.3%	31.4%	50.3%	11
19.1%	29.5%	51.3%	12
21.4%	24.8%	53.8%	13
25.8%	16.7%	57.5%	14

sample65.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	5577	24

prune12.0ms

Filtered

1 candidates to 1 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: 6.0b

Counts

2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (- x 0.5) (log x)) (+ 0.91893853320467 (- (/ (+ (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778)) 0.083333333333333) x) x)))
0.1b	(* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))
0.2b	(* (- x 0.5) (log x))
5.4b	(/ (+ (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778)) 0.083333333333333) x)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
13×	`add-log-exp`
12×	`log-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `times-frac`
8×	`associate-l`
7×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
6×	`associate-+l+` `associate-*l/`
5×	`sum-log`
4×	`flip3--` `flip3-+` `frac-add` `flip--` `flip-+`
3×	`associate-/r` `associate-/l`
2×	`associate-+r-` `sub-neg` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `associate-+r+` `frac-2neg` `diff-log` `div-exp` `clear-num` `log-pow` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

21.0ms	(+ (* (- x 0.5) (log x)) (+ 0.91893853320467 (- (/ (+ (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778)) 0.083333333333333) x) x)))
11.0ms	(* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))
7.0ms	(* (- x 0.5) (log x))
12.0ms	(/ (+ (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778)) 0.083333333333333) x)

series77.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* (- x 0.5) (log x)) (+ 0.91893853320467 (- (/ (+ (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778)) 0.083333333333333) x) x)))
6.0ms	(* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))
22.0ms	(* (- x 0.5) (log x))
15.0ms	(/ (+ (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778)) 0.083333333333333) x)

simplify64.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5114	2223

prune270.0ms

Filtered

93 candidates to 117 candidates (-25.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	103	14	117
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	105	14	119

Merged error: 0.5b

Counts

119 → 14

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log x))
0.2b	(/ z (/ x z))
0.2b	(* 0.0027777777777778 (/ z x))
0.8b	(* 0.0007936500793651 (/ z (/ x z)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

154×	`times-frac`
112×	`add-sqr-sqrt`
96×	`*-un-lft-identity`
94×	`add-cube-cbrt`
61×	`associate-r`
25×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/r*`
11×	`pow1` `associate-l`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`log-prod` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `-commutative` `associate-/l`
2×	`associate-r/` `associate-l/` `associate-/r/`
1×	`flip3--` `frac-2neg` `clear-num` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 197

Calls

4 calls:

7.0ms	(* (- x 0.5) (log x))
6.0ms	(/ z (/ x z))
7.0ms	(* 0.0027777777777778 (/ z x))
14.0ms	(* 0.0007936500793651 (/ z (/ x z)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (- x 0.5) (log x))
3.0ms	(/ z (/ x z))
3.0ms	(* 0.0027777777777778 (/ z x))
4.0ms	(* 0.0007936500793651 (/ z (/ x z)))

simplify64.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4980	1820
1	4980	1820

prune327.0ms

Filtered

156 candidates to 209 candidates (-34.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	205	4	209
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	211	12	223

Merged error: 0.0b

Counts

223 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log x))
0.2b	(* 0.0007936500793651 (/ z x))
0.2b	(* (* 0.0007936500793651 (/ z x)) z)
0.2b	(* 0.0027777777777778 (/ z x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
33×	`associate-r`
27×	`*-un-lft-identity`
25×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
20×	`times-frac`
16×	`pow1`
12×	`associate-l`
10×	`prod-exp` `cbrt-unprod`
6×	`log-prod` `pow-prod-down`
5×	`unswap-sqr`
4×	`*-commutative` `add-log-exp`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `div-exp` `associate-l/`
2×	`div-inv`
1×	`flip3--` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 114

Calls

4 calls:

7.0ms	(* (- x 0.5) (log x))
7.0ms	(* 0.0007936500793651 (/ z x))
7.0ms	(* (* 0.0007936500793651 (/ z x)) z)
7.0ms	(* 0.0027777777777778 (/ z x))

series35.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (- x 0.5) (log x))
3.0ms	(* 0.0007936500793651 (/ z x))
4.0ms	(* (* 0.0007936500793651 (/ z x)) z)
3.0ms	(* 0.0027777777777778 (/ z x))

simplify68.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4972	930
1	4972	930

prune192.0ms

Filtered

86 candidates to 126 candidates (-46.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	126	12	138

Merged error: 0.0b

Counts

138 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 0.5) (log x))
0.2b	(* (/ (* z 0.0007936500793651) x) z)
0.2b	(* 0.0027777777777778 (/ z x))
0.3b	(/ (* z 0.0007936500793651) x)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
25×	`add-exp-log` `add-cbrt-cube`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
20×	`associate-r`
16×	`times-frac`
15×	`associate-l`
11×	`pow1`
8×	`prod-exp` `cbrt-unprod`
6×	`log-prod`
5×	`cbrt-undiv` `div-exp`
4×	`add-log-exp` `unswap-sqr`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-l/` `associate-/r` `*-commutative` `div-inv`
1×	`flip3--` `frac-2neg` `associate-r/` `clear-num` `log-pow` `flip--` `associate-/l` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

7.0ms	(* (- x 0.5) (log x))
6.0ms	(* (/ (* z 0.0007936500793651) x) z)
7.0ms	(* 0.0027777777777778 (/ z x))
6.0ms	(/ (* z 0.0007936500793651) x)

series32.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (- x 0.5) (log x))
4.0ms	(* (/ (* z 0.0007936500793651) x) z)
3.0ms	(* 0.0027777777777778 (/ z x))
3.0ms	(/ (* z 0.0007936500793651) x)

simplify44.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4988	898
1	4988	898

prune143.0ms

Filtered

83 candidates to 121 candidates (-45.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	121	12	133

Merged error: 0.0b

Counts

133 → 12

regimes381.0ms

Accuracy

96.1% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 6.3b

bsearch29.0ms

Steps

Iters	Range		Point
6	3506154.889870981	31860692.0909337	5884704.858232215

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	113	62
1	113	62

end0.0ms

sample1.6s

Algorithm

intervals

Results

504.0ms

8000×

body

valid

Details

analyze483.0ms

sample65.0ms

simplify112.0ms

prune12.0ms

localize18.0ms

rewrite54.0ms

series77.0ms

simplify64.0ms

prune270.0ms

localize22.0ms

rewrite42.0ms

series36.0ms

simplify64.0ms

prune327.0ms

localize18.0ms

rewrite30.0ms

series35.0ms

simplify68.0ms

prune192.0ms

localize20.0ms

rewrite30.0ms

series32.0ms

simplify44.0ms

prune143.0ms

regimes381.0ms

bsearch29.0ms

simplify2.0ms

end0.0ms

sample1.6s

Profiling