Details

sample27.0ms

Algorithm

intervals

Results

10.0ms

381×

body

valid

simplify82.0ms

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

localize6.0ms

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))

series28.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

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

prune64.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
1.7b	(cbrt (* (- y z) (- t x)))
1.7b	(cbrt (* (- y z) (- t x)))
1.7b	(cbrt (* (- y z) (- t x)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 162

Calls

4 calls:

11.0ms	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
7.0ms	(cbrt (* (- y z) (- t x)))
7.0ms	(cbrt (* (- y z) (- t x)))
7.0ms	(cbrt (* (- y z) (- t x)))

series511.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
82.0ms	(cbrt (* (- y z) (- t x)))
82.0ms	(cbrt (* (- y z) (- t x)))
84.0ms	(cbrt (* (- y z) (- t x)))

simplify82.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	510	2890
1	1578	2825
2	5002	2773

prune218.0ms

Filtered

124 candidates to 174 candidates (-40.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	174	4	178

Merged error: 0.0b

Counts

178 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (sqrt (- y z)) (* (sqrt (- y z)) (- t x))))
0.2b	(* (sqrt (- y z)) (- t x))
0.2b	(* (sqrt (- y z)) (* (sqrt (- y z)) (- t x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 114

Calls

3 calls:

4.0ms	(+ x (* (sqrt (- y z)) (* (sqrt (- y z)) (- t x))))
10.0ms	(* (sqrt (- y z)) (- t x))
16.0ms	(* (sqrt (- y z)) (* (sqrt (- y z)) (- t x)))

series60.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ x (* (sqrt (- y z)) (* (sqrt (- y z)) (- t x))))
35.0ms	(* (sqrt (- y z)) (- t x))
10.0ms	(* (sqrt (- y z)) (* (sqrt (- y z)) (- t x)))

simplify55.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	506	1093
1	1986	977
2	5003	977

prune107.0ms

Filtered

80 candidates to 123 candidates (-53.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	123	4	127

Merged error: 0.0b

Counts

127 → 4

localize10.0ms

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)
36.3b	(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)))
10.0ms	(* (- y z) (- t x))
9.0ms	(pow (* (- y z) (- t x)) 3)
4.0ms	(cbrt (pow (* (- y z) (- t x)) 3))

series151.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ x (cbrt (pow (* (- y z) (- t x)) 3)))
9.0ms	(* (- y z) (- t x))
117.0ms	(pow (* (- y z) (- t x)) 3)
10.0ms	(cbrt (pow (* (- y z) (- t x)) 3))

simplify71.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (60.0ms)

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

prune134.0ms

Filtered

84 candidates to 113 candidates (-34.5%)

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

regimes341.0ms

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

sample735.0ms

Algorithm

intervals

Results

335.0ms

12211×

body

valid

Details

sample27.0ms

simplify82.0ms

prune4.0ms

localize6.0ms

rewrite15.0ms

series28.0ms

simplify36.0ms

prune64.0ms

localize10.0ms

rewrite45.0ms

series511.0ms

simplify82.0ms

prune218.0ms

localize9.0ms

rewrite35.0ms

series60.0ms

simplify55.0ms

prune107.0ms

localize10.0ms

rewrite30.0ms

series151.0ms

simplify71.0ms

prune134.0ms

regimes341.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample735.0ms

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