Details

analyze888.0ms

Algorithm: search

sample21.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	69×	body	80	invalid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	80	4
3	254	4
4	641	4
5	1066	4
6	2373	4
7	3914	4
8	5001	4

prune4.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y z) (- t x)))
0.0b	(* (- y z) (- t x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `frac-times` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

4.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

series24.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	290	310
1	1174	292
2	5001	291

prune67.0ms

Filtered

40 candidates to 55 candidates (-37.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0.0b

Counts

56 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
0.0b	(* (- y z) t)
0.0b	(* (- y z) (neg x))
0.0b	(+ (* (- y z) t) (* (- y z) (neg x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`associate-r`
12×	`associate-*l/`
11×	`add-log-exp`
10×	`add-cube-cbrt` `associate-l`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--`
5×	`distribute-rgt-neg-out`
4×	`frac-add` `sum-log`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`+-commutative` `associate-+r-` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `associate-+r+`

Counts

4 → 86

Calls

4 calls:

7.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
6.0ms	(* (- y z) t)
10.0ms	(* (- y z) (neg x))
7.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
6.0ms	(* (- y z) t)
7.0ms	(* (- y z) (neg x))
13.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	464	589
1	2070	523
2	5003	518

prune99.0ms

Filtered

77 candidates to 98 candidates (-27.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0.0b

Counts

102 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

11.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))

series110.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
25.0ms	(cbrt (- y z))
25.0ms	(cbrt (- y z))
28.0ms	(cbrt (- y z))

simplify122.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	288	793
1	873	756
2	3999	674
3	5001	652

prune104.0ms

Filtered

78 candidates to 113 candidates (-44.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Merged error: 0.0b

Counts

117 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cbrt (pow (* (- y z) (- t x)) 3)))
0.0b	(* (- y z) (- t x))
0.3b	(pow (* (- y z) (- t x)) 3)
38.8b	(cbrt (pow (* (- y z) (- t x)) 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`flip3--` `flip--`
16×	`cube-div`
14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`frac-times`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt` `cbrt-div`
6×	`associate-r/` `associate-l/` `add-log-exp`
5×	`associate-r` `associate-l`
3×	`pow-unpow`
2×	`distribute-rgt-in` `cube-mult` `sub-neg` `unpow-prod-down` `pow-pow` `distribute-lft-in` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

5.0ms	(+ x (cbrt (pow (* (- y z) (- t x)) 3)))
9.0ms	(* (- y z) (- t x))
9.0ms	(pow (* (- y z) (- t x)) 3)
4.0ms	(cbrt (pow (* (- y z) (- t x)) 3))

series150.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ x (cbrt (pow (* (- y z) (- t x)) 3)))
11.0ms	(* (- y z) (- t x))
114.0ms	(pow (* (- y z) (- t x)) 3)
10.0ms	(cbrt (pow (* (- y z) (- t x)) 3))

simplify72.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	503	746
1	2678	698
2	5003	697

prune137.0ms

Filtered

85 candidates to 113 candidates (-32.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	113	4	117

Merged error: 0.0b

Counts

117 → 4

regimes355.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

analyze676.0ms

Algorithm: search

sample558.0ms

Algorithm

intervals

Results

230.0ms	8000×	body	80	valid
75.0ms	2539×	body	80	invalid

Details

analyze888.0ms

sample21.0ms

simplify87.0ms

prune4.0ms

localize10.0ms

rewrite15.0ms

series24.0ms

simplify37.0ms

prune67.0ms

localize9.0ms

rewrite34.0ms

series41.0ms

simplify62.0ms

prune99.0ms

localize10.0ms

rewrite23.0ms

series110.0ms

simplify122.0ms

prune104.0ms

localize12.0ms

rewrite30.0ms

series150.0ms

simplify72.0ms

prune137.0ms

regimes355.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze676.0ms

sample558.0ms

Profiling