Details

sample148.0ms

Algorithm

intervals

Results

61.0ms	884×	body	80	nan
26.0ms	282×	body	80	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	10
1	111	8
2	464	8
3	1654	8
4	5001	8

prune11.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b	(+ (+ (+ (* x (log y)) z) t) a)
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
27×	`add-log-exp`
22×	`add-sqr-sqrt`
18×	`log-prod`
16×	`add-cube-cbrt` `sum-log`
10×	`pow1`
9×	`distribute-rgt-in` `fma-def` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
7×	`distribute-lft-out`
6×	`associate-+r+` `associate-*l/`
4×	`expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 112

Calls

4 calls:

14.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
10.0ms	(+ (+ (+ (* x (log y)) z) t) a)
7.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

series388.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
76.0ms	(+ (+ (+ (* x (log y)) z) t) a)
56.0ms	(* (- b 0.5) (log c))
36.0ms	(* x (log y))

simplify69.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	590	908
1	2518	809
2	5002	794

prune440.0ms

Filtered

124 candidates to 89 candidates (71.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	114	10	124
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	116	10	126

Merged error: 0.0b

Counts

126 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma (log (sqrt c)) (- b 0.5) (+ (fma x (log y) z) (+ t a))) (* (- b 0.5) (log (sqrt c))))
0.1b	(fma (log (sqrt c)) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.1b	(fma x (log y) z)
0.2b	(* (- b 0.5) (log (sqrt c)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
19×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `sqrt-prod`
8×	`pow1`
6×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `log-pow` `fma-udef`
2×	`associate-*l/`
1×	`+-commutative` `associate-+l+` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

5.0ms	(+ (fma (log (sqrt c)) (- b 0.5) (+ (fma x (log y) z) (+ t a))) (* (- b 0.5) (log (sqrt c))))
1.0ms	(fma (log (sqrt c)) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
1.0ms	(fma x (log y) z)
8.0ms	(* (- b 0.5) (log (sqrt c)))

series1.7s

Counts

4 → 12

Calls

4 calls:

1.0s	(+ (fma (log (sqrt c)) (- b 0.5) (+ (fma x (log y) z) (+ t a))) (* (- b 0.5) (log (sqrt c))))
568.0ms	(fma (log (sqrt c)) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
49.0ms	(fma x (log y) z)
61.0ms	(* (- b 0.5) (log (sqrt c)))

simplify54.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	374	920
1	1401	850
2	5001	826

prune399.0ms

Filtered

100 candidates to 74 candidates (74.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	100	10	110

Merged error: 0.0b

Counts

110 → 10

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt c) (cbrt c))
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite12.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

6.0ms	(* (cbrt c) (cbrt c))
1.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series716.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt c) (cbrt c))
171.0ms	(cbrt c)
177.0ms	(cbrt c)
173.0ms	(cbrt c)

simplify96.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune423.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	93	10	103

Merged error: 0.0b

Counts

103 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
2.0ms	(cbrt y)
1.0ms	(cbrt y)

series537.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* x (log (cbrt y)))
98.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
177.0ms	(cbrt y)
171.0ms	(cbrt y)

simplify55.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	384	753
1	1636	640
2	5001	570

prune555.0ms

Filtered

123 candidates to 102 candidates (82.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	2	5	7
Picked	1	0	1
Done	1	1	2
Total	125	8	133

Merged error: 0.0b

Counts

133 → 8

regimes625.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	23
1	42	23

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.0s	27653×	body	80	nan
761.0ms	9213×	body	80	valid
1.0ms	2×	body	640	valid
1.0ms	2×	body	320	valid