Details

sample29.0ms

Algorithm

intervals

Results

10.0ms

380×

body

valid

simplify86.0ms

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

localize13.0ms

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)))
10.0ms	(* (- y z) (- t x))

series24.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ x (* (- y z) (- t x)))
10.0ms	(* (- 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

prune65.0ms

Filtered

40 candidates to 55 candidates (-37.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	3	56

Merged error: 0b

Counts

56 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

10.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
7.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))
8.0ms	(* (- y z) (neg x))

series33.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ x (+ (* (- y z) t) (* (- y z) (neg x))))
12.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))
7.0ms	(* (- y z) (neg x))

simplify54.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	428	510
1	1833	447
2	5001	442

prune76.0ms

Filtered

59 candidates to 73 candidates (-23.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	73	3	76

Merged error: 0b

Counts

76 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
1.5b	(- (* t t) (* x x))
6.1b	(* (- y z) (- (* t t) (* x x)))
22.8b	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

6.0ms	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
3.0ms	(- (* t t) (* x x))
9.0ms	(* (- y z) (- (* t t) (* x x)))
14.0ms	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

series101.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
8.0ms	(- (* t t) (* x x))
22.0ms	(* (- y z) (- (* t t) (* x x)))
34.0ms	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

simplify70.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	516	878
1	2664	784
2	5002	783

prune102.0ms

Filtered

77 candidates to 103 candidates (-33.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Merged error: 0b

Counts

106 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cbrt (pow (* (- y z) (- t x)) 3)))
0.0b	(* (- y z) (- t x))
0.2b	(pow (* (- y z) (- t x)) 3)
38.1b	(cbrt (pow (* (- y z) (- t x)) 3))

rewrite29.0ms

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))
8.0ms	(pow (* (- y z) (- t x)) 3)
4.0ms	(cbrt (pow (* (- y z) (- t x)) 3))

series144.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ x (cbrt (pow (* (- y z) (- t x)) 3)))
9.0ms	(* (- y z) (- t x))
111.0ms	(pow (* (- y z) (- t x)) 3)
9.0ms	(cbrt (pow (* (- y z) (- t x)) 3))

simplify76.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (65.0ms)

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

prune141.0ms

Filtered

85 candidates to 113 candidates (-32.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Merged error: 0b

Counts

116 → 3

regimes263.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	20	7
2	21	7
3	21	7

end0.0ms

sample822.0ms

Algorithm

intervals

Results

323.0ms

12051×

body

valid

Details

sample29.0ms

simplify86.0ms

prune4.0ms

localize13.0ms

rewrite15.0ms

series24.0ms

simplify37.0ms

prune65.0ms

localize8.0ms

rewrite27.0ms

series33.0ms

simplify54.0ms

prune76.0ms

localize11.0ms

rewrite35.0ms

series101.0ms

simplify70.0ms

prune102.0ms

localize11.0ms

rewrite29.0ms

series144.0ms

simplify76.0ms

prune141.0ms

regimes263.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample822.0ms

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