Details

analyze463.0ms

Algorithm: search

sample32.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
2.0ms	28×	body	80	invalid
1.0ms	23×	body	80	nan

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	12
1	84	12
2	245	12
3	581	12
4	1280	12
5	2462	12
6	5001	12

prune4.0ms

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: 6.3b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 0.5) (log x))
0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(- (* (- x 0.5) (log x)) x)
5.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

9.0ms	(* (- x 0.5) (log x))
10.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
7.0ms	(- (* (- x 0.5) (log x)) x)
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series116.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (- x 0.5) (log x))
38.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
35.0ms	(- (* (- x 0.5) (log x)) x)
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	543	875
1	1816	820
2	5001	763

prune236.0ms

Filtered

83 candidates to 110 candidates (-32.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	97	13	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	13	111

Merged error: 4.4b

Counts

111 → 13

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* (log (sqrt x)) (- x 0.5)) x)
0.1b	(+ (+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x)) 0.91893853320467)
0.2b	(+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x))
5.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

6.0ms	(- (* (log (sqrt x)) (- x 0.5)) x)
16.0ms	(+ (+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x)) 0.91893853320467)
14.0ms	(+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x))
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series60.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (* (log (sqrt x)) (- x 0.5)) x)
14.0ms	(+ (+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x)) 0.91893853320467)
12.0ms	(+ (* (- x 0.5) (log (sqrt x))) (- (* (log (sqrt x)) (- x 0.5)) x))
22.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify83.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	827	1434
1	3355	1286
2	5001	1258

prune251.0ms

Filtered

88 candidates to 108 candidates (-22.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	106	15	121

Merged error: 4.4b

Counts

121 → 15

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite16.0ms

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)
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series90.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
25.0ms	(cbrt x)
22.0ms	(cbrt x)
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify94.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	231	498
1	697	460
2	3102	429
3	5001	426

prune177.0ms

Filtered

59 candidates to 74 candidates (-25.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	13	13
Picked	1	0	1
Done	0	1	1
Total	74	15	89

Merged error: 4.4b

Counts

89 → 15

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.8b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite16.0ms

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)
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series91.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt x)
25.0ms	(cbrt x)
22.0ms	(cbrt x)
21.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify94.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	231	498
1	697	460
2	3102	429
3	5001	426

prune127.0ms

Filtered

59 candidates to 74 candidates (-25.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	13	13
Picked	1	0	1
Done	0	1	1
Total	74	15	89

Merged error: 4.4b

Counts

89 → 15

regimes838.0ms

Accuracy

76.1% (0.3b remaining)

Error of 5.3b against oracle of 5.0b and baseline of 6.2b

bsearch139.0ms

Steps

Iters	Range		Point
5	7.205606936190896e+147	1.733996250825924e+148	9.292812575765269e+147

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	33
1	58	33

end0.0ms

analyze463.0ms

Algorithm: search

sample939.0ms

Algorithm

intervals

Results

582.0ms	8000×	body	80	valid
84.0ms	1152×	body	80	invalid
44.0ms	654×	body	80	nan

Details

analyze463.0ms

sample32.0ms

simplify50.0ms

prune4.0ms

localize17.0ms

rewrite39.0ms

series116.0ms

simplify50.0ms

prune236.0ms

localize20.0ms

rewrite51.0ms

series60.0ms

simplify83.0ms

prune251.0ms

localize27.0ms

rewrite16.0ms

series90.0ms

simplify94.0ms

prune177.0ms

localize34.0ms

rewrite16.0ms

series91.0ms

simplify94.0ms

prune127.0ms

regimes838.0ms

bsearch139.0ms

simplify2.0ms

end0.0ms

analyze463.0ms

sample939.0ms

Profiling