Details

sample80.0ms

Algorithm

intervals

Results

29.0ms	423×	body	80	nan
26.0ms	383×	body	80	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

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: 5.0b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 0.5) (log x))
0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(- (* (- x 0.5) (log x)) x)
4.6b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite41.0ms

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:

7.0ms	(* (- x 0.5) (log x))
10.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
7.0ms	(- (* (- x 0.5) (log x)) x)
14.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

258.0ms	(* (- x 0.5) (log x))
437.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
424.0ms	(- (* (- x 0.5) (log x)) x)
87.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	501	839
1	1642	776
2	5002	763

prune375.0ms

Filtered

110 candidates to 84 candidates (76.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	100	10	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	10	111

Merged error: 3.7b

Counts

111 → 10

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
4.6b	(/ (+ (* (- (* (+ 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)

series633.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
186.0ms	(cbrt x)
180.0ms	(cbrt x)
86.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify103.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	212	462
1	697	420
2	3307	413
3	5001	410

prune523.0ms

Filtered

74 candidates to 62 candidates (83.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	74	10	84

Merged error: 3.7b

Counts

84 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
0.5b	(cbrt x)
0.5b	(cbrt x)
4.6b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`cbrt-prod` `associate-+l+`
12×	`associate-+r+`
9×	`times-frac`
8×	`associate-*l/`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `flip3--` `frac-add` `flip--`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `pow1/3` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv` `distribute-lft-out`

Counts

4 → 103

Calls

4 calls:

13.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
11.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

774.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
175.0ms	(cbrt x)
179.0ms	(cbrt x)
84.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify77.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	624	1080
1	2446	943
2	5001	919

prune529.0ms

Filtered

115 candidates to 104 candidates (90.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	116	9	125

Merged error: 3.7b

Counts

125 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 0.5) (log x))
0.2b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.2b	(- (* (- x 0.5) (log x)) x)
4.8b	(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

7.0ms	(* (- x 0.5) (log x))
10.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
7.0ms	(- (* (- x 0.5) (log x)) x)
15.0ms	(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

series1.2s

Counts

4 → 12

Calls

4 calls:

260.0ms	(* (- x 0.5) (log x))
440.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
433.0ms	(- (* (- x 0.5) (log x)) x)
85.0ms	(* (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) (/ 1 x))

simplify65.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	612	939
1	2415	848
2	5001	826

prune331.0ms

Filtered

121 candidates to 88 candidates (72.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	121	9	130

Merged error: 3.7b

Counts

130 → 9

Details

sample80.0ms

simplify54.0ms

prune3.0ms

localize16.0ms

rewrite41.0ms

series1.2s

simplify55.0ms

prune375.0ms

localize24.0ms

rewrite16.0ms

series633.0ms

simplify103.0ms

prune523.0ms

localize23.0ms

rewrite31.0ms

series1.2s

simplify77.0ms

prune529.0ms

localize18.0ms

rewrite43.0ms

series1.2s

simplify65.0ms

prune331.0ms

regimes302.0ms

bsearch5.0ms

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