Details

sample42.0ms

Algorithm

intervals

Results

13.0ms	303×	body	80	nan
12.0ms	284×	body	80	valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	5
1	57	5
2	121	5
3	241	5
4	364	5
5	490	5
6	641	5
7	1023	5
8	1797	5
9	2155	5
10	2161	5
11	2161	5

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

1.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
8.0ms	(+ (- 1.0 z) (log z))
10.0ms	(* y (+ (- 1.0 z) (log z)))

series303.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
167.0ms	(+ (- 1.0 z) (log z))
76.0ms	(* y (+ (- 1.0 z) (log z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	336	468
1	1466	370
2	5001	366

prune180.0ms

Filtered

85 candidates to 61 candidates (71.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	4	86

Merged error: 0b

Counts

86 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
0.0b	(* y (- 1.0 z))
0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.2b	(* y (log z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt` `prod-diff`
28×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-+l+`
12×	`log-prod`
9×	`pow1` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+r+` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `sum-log` `log-pow` `flip--` `flip-+` `fma-udef` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 126

Calls

4 calls:

1.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
8.0ms	(* y (- 1.0 z))
9.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
5.0ms	(* y (log z))

series235.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
33.0ms	(* y (- 1.0 z))
95.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
42.0ms	(* y (log z))

simplify65.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	494	914
1	2048	666
2	5003	654

prune272.0ms

Filtered

138 candidates to 90 candidates (65.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	139	3	142

Merged error: 0b

Counts

142 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* y (log (cbrt z))))
0.2b	(* y (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
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-+` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

10.0ms	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* y (log (cbrt z))))
5.0ms	(* y (log (cbrt z)))
1.0ms	(cbrt z)
4.0ms	(cbrt z)

series775.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* y (log (cbrt z))))
89.0ms	(* y (log (cbrt z)))
363.0ms	(cbrt z)
177.0ms	(cbrt z)

simplify49.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	317	652
1	1299	600
2	5001	527

prune293.0ms

Filtered

98 candidates to 80 candidates (81.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Merged error: 0b

Counts

101 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (log z) (log z))
0.8b	(pow (log z) 3)
4.0b	(* y (+ (pow (- 1.0 z) 3) (pow (log z) 3)))
14.7b	(/ (* y (+ (pow (- 1.0 z) 3) (pow (log z) 3))) (+ (* (- 1.0 z) (- 1.0 z)) (- (* (log z) (log z)) (* (- 1.0 z) (log z)))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
30×	`pow1`
25×	`associate-r`
21×	`add-sqr-sqrt`
20×	`unpow-prod-down` `flip3--` `cube-prod` `flip--`
18×	`associate-/r/`
17×	`add-cube-cbrt` `distribute-lft-out`
16×	`frac-add` `log-pow`
14×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-*r/` `distribute-lft-out--`
7×	`associate-l`
6×	`log-prod` `swap-sqr`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `flip3-+` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `flip-+`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `pow-plus` `unpow3` `pow-exp` `clear-num` `pow-sqr` `sum-cubes` `pow-prod-up` `div-inv` `associate-/l*` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 150

Calls

4 calls:

5.0ms	(* (log z) (log z))
3.0ms	(pow (log z) 3)
26.0ms	(* y (+ (pow (- 1.0 z) 3) (pow (log z) 3)))
34.0ms	(/ (* y (+ (pow (- 1.0 z) 3) (pow (log z) 3))) (+ (* (- 1.0 z) (- 1.0 z)) (- (* (log z) (log z)) (* (- 1.0 z) (log z)))))

series871.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* (log z) (log z))
171.0ms	(pow (log z) 3)
99.0ms	(* y (+ (pow (- 1.0 z) 3) (pow (log z) 3)))
458.0ms	(/ (* y (+ (pow (- 1.0 z) 3) (pow (log z) 3))) (+ (* (- 1.0 z) (- 1.0 z)) (- (* (log z) (log z)) (* (- 1.0 z) (log z)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1166	2087
1	5002	1950

prune461.0ms

Filtered

162 candidates to 97 candidates (59.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	162	3	165

Merged error: 0b

Counts

165 → 3

regimes56.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	11
1	19	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

408.0ms	9199×	body	80	valid
331.0ms	9167×	body	80	nan