Details

sample38.0ms

Algorithm

intervals

Results

19.0ms

395×

body

valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	10
1	112	10
2	384	10
3	1568	10
4	5001	10

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: 0.0b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y 1.0) z)
0.0b	(* (- t 1.0) a)
0.0b	(* (- (+ y t) 2.0) b)
0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

274×	`*-un-lft-identity`
142×	`distribute-lft-out--`
111×	`associate-l`
66×	`distribute-lft-out`
26×	`associate-*l/`
22×	`add-sqr-sqrt`
19×	`flip3--` `flip--`
13×	`add-log-exp`
12×	`frac-add`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
9×	`associate-r`
8×	`frac-sub`
4×	`associate-+l+`
3×	`diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
2×	`associate-+l-` `sub-neg` `associate--l+`
1×	`+-commutative` `associate--l-` `flip3-+` `flip-+`

Counts

4 → 150

Calls

4 calls:

6.0ms	(* (- y 1.0) z)
6.0ms	(* (- t 1.0) a)
8.0ms	(* (- (+ y t) 2.0) b)
46.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))

series253.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (- y 1.0) z)
33.0ms	(* (- t 1.0) a)
28.0ms	(* (- (+ y t) 2.0) b)
163.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))

simplify111.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	873	1802
1	4499	1748
2	5001	1748

prune275.0ms

Filtered

162 candidates to 76 candidates (46.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	156	6	162
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	157	6	163

Merged error: 0b

Counts

163 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- y 1.0) z)) (cbrt (* (- y 1.0) z)))
0.6b	(cbrt (* (- y 1.0) z))
0.6b	(cbrt (* (- y 1.0) z))
0.6b	(cbrt (* (- y 1.0) z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

122×	`cbrt-prod`
81×	`add-sqr-sqrt`
60×	`associate-l`
59×	`*-un-lft-identity`
38×	`associate-r`
29×	`add-cube-cbrt`
23×	`swap-sqr`
22×	`unswap-sqr`
20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1` `distribute-lft-out--`
9×	`flip3--` `pow1/3` `flip--`
8×	`*-commutative` `add-cbrt-cube`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 167

Calls

4 calls:

22.0ms	(* (cbrt (* (- y 1.0) z)) (cbrt (* (- y 1.0) z)))
7.0ms	(cbrt (* (- y 1.0) z))
7.0ms	(cbrt (* (- y 1.0) z))
7.0ms	(cbrt (* (- y 1.0) z))

series372.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (cbrt (* (- y 1.0) z)) (cbrt (* (- y 1.0) z)))
88.0ms	(cbrt (* (- y 1.0) z))
91.0ms	(cbrt (* (- y 1.0) z))
90.0ms	(cbrt (* (- y 1.0) z))

simplify56.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	454	1764
1	1476	1680
2	5002	1522

prune547.0ms

Filtered

179 candidates to 126 candidates (70.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	179	6	185

Merged error: 0b

Counts

185 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
0.7b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (- (+ y t) 2.0))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

132×	`add-sqr-sqrt`
92×	`cbrt-prod`
84×	`*-un-lft-identity`
63×	`unswap-sqr`
60×	`cbrt-div` `associate-l`
39×	`add-cbrt-cube`
37×	`cbrt-unprod`
32×	`associate-*l/`
31×	`associate-r`
30×	`flip3--` `flip--`
28×	`frac-times`
24×	`distribute-lft-out--`
21×	`swap-sqr`
20×	`add-cube-cbrt`
16×	`pow1` `add-exp-log`
12×	`distribute-lft-out`
8×	`associate-*r/` `pow-prod-down` `prod-exp` `difference-of-squares`
6×	`*-commutative`
4×	`add-log-exp`
3×	`pow1/3`

Counts

4 → 193

Calls

4 calls:

49.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
6.0ms	(cbrt (- (+ y t) 2.0))
6.0ms	(cbrt (- (+ y t) 2.0))
6.0ms	(cbrt (- (+ y t) 2.0))

series387.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* (cbrt (- (+ y t) 2.0)) (cbrt (- (+ y t) 2.0))) (* (cbrt (- (+ y t) 2.0)) b))
109.0ms	(cbrt (- (+ y t) 2.0))
109.0ms	(cbrt (- (+ y t) 2.0))
114.0ms	(cbrt (- (+ y t) 2.0))

simplify95.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	798	3177
1	3051	2616
2	5002	2447

prune479.0ms

Filtered

205 candidates to 119 candidates (58.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	205	6	211

Merged error: 0b

Counts

211 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (- (+ y t) 2.0))
0.7b	(cbrt (- (+ y t) 2.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
24×	`cbrt-prod`
16×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `cbrt-div` `distribute-lft-out--`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out` `add-log-exp` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

6.0ms	(cbrt (- (+ y t) 2.0))
6.0ms	(cbrt (- (+ y t) 2.0))
6.0ms	(cbrt (- (+ y t) 2.0))
6.0ms	(cbrt (- (+ y t) 2.0))

series442.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt (- (+ y t) 2.0))
111.0ms	(cbrt (- (+ y t) 2.0))
109.0ms	(cbrt (- (+ y t) 2.0))
113.0ms	(cbrt (- (+ y t) 2.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	193	580
1	473	548
2	1664	528
3	5001	528

prune318.0ms

Filtered

76 candidates to 64 candidates (84.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	76	6	82

Merged error: 0b

Counts

82 → 6

regimes211.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	19
1	27	19

end0.0ms

sample939.0ms

Algorithm

intervals

Results

534.0ms	12488×	body	80	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid