Details

sample133.0ms

Algorithm

intervals

Results

54.0ms	958×	body	80	nan
19.0ms	303×	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

prune13.0ms

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

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-def` `sum-log` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `flip-+`

Counts

3 → 41

Calls

3 calls:

6.0ms	(+ (fma x (log y) z) (+ t a))
1.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
1.0ms	(fma x (log y) z)

series452.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ (fma x (log y) z) (+ t a))
325.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
51.0ms	(fma x (log y) z)

simplify67.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	187	278
1	634	250
2	3135	246
3	5002	245

prune220.0ms

Filtered

50 candidates to 42 candidates (84.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	45	5	50
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	46	6	52

Merged error: 0.1b

Counts

52 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 121

Calls

4 calls:

5.0ms	(+ (fma x (log y) z) (+ t a))
13.0ms	(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
9.0ms	(* (log c) (- b 0.5))
1.0ms	(fma x (log y) z)

series621.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(+ (fma x (log y) z) (+ t a))
378.0ms	(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
91.0ms	(* (log c) (- b 0.5))
48.0ms	(fma x (log y) z)

simplify69.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	595	1187
1	2567	952
2	5003	947

prune465.0ms

Filtered

133 candidates to 91 candidates (68.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	128	5	133
Fresh	1	3	4
Picked	0	1	1
Done	1	0	1
Total	130	9	139

Merged error: 0.0b

Counts

139 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (log c) (- b 0.5)))
0.5b	(cbrt (* (log c) (- b 0.5)))
0.5b	(cbrt (* (log c) (- b 0.5)))
0.5b	(* (cbrt (* (log c) (- b 0.5))) (cbrt (* (log c) (- b 0.5))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

8.0ms	(cbrt (* (log c) (- b 0.5)))
5.0ms	(cbrt (* (log c) (- b 0.5)))
5.0ms	(cbrt (* (log c) (- b 0.5)))
7.0ms	(* (cbrt (* (log c) (- b 0.5))) (cbrt (* (log c) (- b 0.5))))

series689.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (* (log c) (- b 0.5)))
144.0ms	(cbrt (* (log c) (- b 0.5)))
142.0ms	(cbrt (* (log c) (- b 0.5)))
261.0ms	(* (cbrt (* (log c) (- b 0.5))) (cbrt (* (log c) (- b 0.5))))

simplify96.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	742	1618
1	3744	1549
2	5003	1514

prune530.0ms

Filtered

92 candidates to 75 candidates (81.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	90	11	101

Merged error: 0.0b

Counts

101 → 11

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- b 0.5))
0.3b	(* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5))))
0.4b	(* (* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5)))) (cbrt (- b 0.5)))
0.7b	(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-div`
44×	`associate-*r/`
40×	`flip3--` `flip--`
38×	`cbrt-prod`
37×	`add-sqr-sqrt`
36×	`frac-times`
34×	`*-un-lft-identity`
26×	`pow1`
20×	`add-exp-log`
18×	`associate-*l/`
17×	`associate-r`
16×	`add-cube-cbrt`
13×	`associate-l`
11×	`pow-prod-down` `add-cbrt-cube`
10×	`swap-sqr` `prod-exp` `cbrt-unprod`
8×	`distribute-lft-out--`
7×	`pow1/3`
6×	`difference-of-squares`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `log-pow`

Counts

4 → 159

Calls

4 calls:

3.0ms	(cbrt (- b 0.5))
13.0ms	(* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5))))
18.0ms	(* (* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5)))) (cbrt (- b 0.5)))
11.0ms	(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

series556.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (- b 0.5))
195.0ms	(* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5))))
103.0ms	(* (* (log c) (* (cbrt (- b 0.5)) (cbrt (- b 0.5)))) (cbrt (- b 0.5)))
121.0ms	(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

simplify88.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	832	1907
1	3147	1727
2	5002	1636

prune613.0ms

Filtered

171 candidates to 105 candidates (61.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	171	11	182

Merged error: 0.0b

Counts

182 → 11

regimes785.0ms

Accuracy

0% (0.0b 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	22	9
1	22	9

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27779×	body	80	nan
580.0ms	9229×	body	80	valid
1.0ms	5×	body	640	valid
0.0ms	2×	body	320	valid