Details

sample89.0ms

Algorithm

intervals

Results

27.0ms	375×	body	80	valid
25.0ms	361×	body	80	nan

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5251	24

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 7.0b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))
0.1b	(+ (* (- x 0.5) (log x)) (+ 0.91893853320467 (- (/ (+ (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778)) 0.083333333333333) x) x)))
0.1b	(* (- x 0.5) (log x))
6.4b	(/ (+ (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778)) 0.083333333333333) x)

rewrite60.0ms

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×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
7×	`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 → 107

Calls

4 calls:

10.0ms	(* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))
26.0ms	(+ (* (- x 0.5) (log x)) (+ 0.91893853320467 (- (/ (+ (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778)) 0.083333333333333) x) x)))
8.0ms	(* (- x 0.5) (log x))
13.0ms	(/ (+ (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778)) 0.083333333333333) x)

series84.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778))
36.0ms	(+ (* (- x 0.5) (log x)) (+ 0.91893853320467 (- (/ (+ (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778)) 0.083333333333333) x) x)))
24.0ms	(* (- x 0.5) (log x))
17.0ms	(/ (+ (* z (- (* (+ y 0.0007936500793651) z) 0.0027777777777778)) 0.083333333333333) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5097	2245

prune260.0ms

Filtered

93 candidates to 119 candidates (-28.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	111	8	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	8	120

Merged error: 0.0b

Counts

120 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
6.4b	(/ (+ (* z (- (* z (+ y 0.0007936500793651)) 0.0027777777777778)) 0.083333333333333) x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
13.0ms	(/ (+ (* z (- (* z (+ y 0.0007936500793651)) 0.0027777777777778)) 0.083333333333333) x)

series91.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt x)
24.0ms	(cbrt x)
26.0ms	(cbrt x)
17.0ms	(/ (+ (* z (- (* z (+ y 0.0007936500793651)) 0.0027777777777778)) 0.083333333333333) x)

simplify45.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4956	766
1	4956	766

prune151.0ms

Filtered

56 candidates to 74 candidates (-32.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	74	8	82

Merged error: 0.0b

Counts

82 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series103.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt x) (cbrt x))
24.0ms	(cbrt x)
24.0ms	(cbrt x)
26.0ms	(cbrt x)

simplify62.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5837	334

prune141.0ms

Filtered

52 candidates to 85 candidates (-63.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (- x 0.5) (log x)) (+ 0.91893853320467 (- (/ (+ (+ (* z (* z (+ y 0.0007936500793651))) (* z (neg 0.0027777777777778))) 0.083333333333333) x) x)))
0.1b	(* (- x 0.5) (log x))
0.2b	(* z (* z (+ y 0.0007936500793651)))
6.4b	(/ (+ (+ (* z (* z (+ y 0.0007936500793651))) (* z (neg 0.0027777777777778))) 0.083333333333333) x)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

27.0ms	(+ (* (- x 0.5) (log x)) (+ 0.91893853320467 (- (/ (+ (+ (* z (* z (+ y 0.0007936500793651))) (* z (neg 0.0027777777777778))) 0.083333333333333) x) x)))
7.0ms	(* (- x 0.5) (log x))
8.0ms	(* z (* z (+ y 0.0007936500793651)))
15.0ms	(/ (+ (+ (* z (* z (+ y 0.0007936500793651))) (* z (neg 0.0027777777777778))) 0.083333333333333) x)

series79.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* (- x 0.5) (log x)) (+ 0.91893853320467 (- (/ (+ (+ (* z (* z (+ y 0.0007936500793651))) (* z (neg 0.0027777777777778))) 0.083333333333333) x) x)))
24.0ms	(* (- x 0.5) (log x))
6.0ms	(* z (* z (+ y 0.0007936500793651)))
16.0ms	(/ (+ (+ (* z (* z (+ y 0.0007936500793651))) (* z (neg 0.0027777777777778))) 0.083333333333333) x)

simplify36.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	4988	2284
1	4988	2284

prune189.0ms

Filtered

89 candidates to 125 candidates (-40.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	125	8	133

Merged error: 0.0b

Counts

133 → 8

regimes273.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	28
1	29	28

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	11909×	body	80	valid
826.0ms	12057×	body	80	nan

Details

sample89.0ms

simplify66.0ms

prune9.0ms

localize17.0ms

rewrite60.0ms

series84.0ms

simplify55.0ms

prune260.0ms

localize25.0ms

rewrite19.0ms

series91.0ms

simplify45.0ms

prune151.0ms

localize26.0ms

rewrite13.0ms

series103.0ms

simplify62.0ms

prune141.0ms

localize20.0ms

rewrite62.0ms

series79.0ms

simplify36.0ms

prune189.0ms

regimes273.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.8s

Profiling