Details

sample61.0ms

Algorithm

intervals

Results

24.0ms

426×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5296	21

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*l/`
22×	`add-sqr-sqrt`
19×	`flip3--` `*-un-lft-identity` `flip--`
16×	`associate-l`
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+` `distribute-lft-out--`
3×	`diff-log` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
2×	`sub-neg` `associate--l+`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 97

Calls

4 calls:

7.0ms	(* (- y 1.0) z)
14.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
9.0ms	(* (- (+ y t) 2.0) b)
7.0ms	(* (- t 1.0) a)

series71.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (- y 1.0) z)
54.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
7.0ms	(* (- (+ y t) 2.0) b)
5.0ms	(* (- t 1.0) a)

simplify33.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5051	2403

prune191.0ms

Filtered

78 candidates to 109 candidates (-39.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	4	110

Merged error: 0b

Counts

110 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ t (- y 2.0)) b)) (cbrt (* (+ t (- y 2.0)) b)))
0.5b	(cbrt (* (+ t (- y 2.0)) b))
0.5b	(cbrt (* (+ t (- y 2.0)) b))
0.5b	(cbrt (* (+ t (- y 2.0)) b))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
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×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* (+ t (- y 2.0)) b)) (cbrt (* (+ t (- y 2.0)) b)))
7.0ms	(cbrt (* (+ t (- y 2.0)) b))
7.0ms	(cbrt (* (+ t (- y 2.0)) b))
7.0ms	(cbrt (* (+ t (- y 2.0)) b))

series144.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (cbrt (* (+ t (- y 2.0)) b)) (cbrt (* (+ t (- y 2.0)) b)))
30.0ms	(cbrt (* (+ t (- y 2.0)) b))
33.0ms	(cbrt (* (+ t (- y 2.0)) b))
30.0ms	(cbrt (* (+ t (- y 2.0)) b))

simplify39.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4940	1252
1	4940	1252

prune222.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0b

Counts

88 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (- x (* (- y 1.0) z)) (/ (* a (- (* t t) (* 1.0 1.0))) (+ t 1.0))) (* (- (+ y t) 2.0) b))
0.0b	(* (- (+ y t) 2.0) b)
4.3b	(* a (- (* t t) (* 1.0 1.0)))
5.7b	(/ (* a (- (* t t) (* 1.0 1.0))) (+ t 1.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

17.0ms	(+ (- (- x (* (- y 1.0) z)) (/ (* a (- (* t t) (* 1.0 1.0))) (+ t 1.0))) (* (- (+ y t) 2.0) b))
10.0ms	(* (- (+ y t) 2.0) b)
7.0ms	(* a (- (* t t) (* 1.0 1.0)))
11.0ms	(/ (* a (- (* t t) (* 1.0 1.0))) (+ t 1.0))

series125.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (- (- x (* (- y 1.0) z)) (/ (* a (- (* t t) (* 1.0 1.0))) (+ t 1.0))) (* (- (+ y t) 2.0) b))
11.0ms	(* (- (+ y t) 2.0) b)
11.0ms	(* a (- (* t t) (* 1.0 1.0)))
16.0ms	(/ (* a (- (* t t) (* 1.0 1.0))) (+ t 1.0))

simplify36.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5136	2576

prune193.0ms

Filtered

82 candidates to 113 candidates (-37.8%)

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: 0b

Counts

117 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y 1.0) z)
0.0b	(* (+ t (- y 2.0)) b)
0.0b	(* (- t 1.0) a)
2.7b	(exp (log (* (+ t (- y 2.0)) b)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
15×	`associate-l`
13×	`pow1`
11×	`add-cube-cbrt`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-r`
8×	`associate-*l/`
5×	`exp-prod`
4×	`pow-prod-down` `add-log-exp`
3×	`prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
2×	`log-div` `flip3--` `flip3-+` `exp-diff` `log-pow` `flip--` `flip-+` `distribute-lft-out` `difference-of-squares`
1×	`log-prod` `exp-sum` `rem-exp-log`

Counts

4 → 82

Calls

4 calls:

7.0ms	(* (- y 1.0) z)
11.0ms	(* (+ t (- y 2.0)) b)
7.0ms	(* (- t 1.0) a)
9.0ms	(exp (log (* (+ t (- y 2.0)) b)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (- y 1.0) z)
7.0ms	(* (+ t (- y 2.0)) b)
5.0ms	(* (- t 1.0) a)
7.0ms	(exp (log (* (+ t (- y 2.0)) b)))

simplify44.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5106	706

prune136.0ms

Filtered

58 candidates to 94 candidates (-62.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	94	4	98

Merged error: 0b

Counts

98 → 4

regimes542.0ms

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	23	21
1	23	21

end0.0ms

sample1.6s

Algorithm

intervals

Results

740.0ms	12634×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

sample61.0ms

simplify65.0ms

prune9.0ms

localize15.0ms

rewrite41.0ms

series71.0ms

simplify33.0ms

prune191.0ms

localize20.0ms

rewrite31.0ms

series144.0ms

simplify39.0ms

prune222.0ms

localize22.0ms

rewrite48.0ms

series125.0ms

simplify36.0ms

prune193.0ms

localize19.0ms

rewrite37.0ms

series24.0ms

simplify44.0ms

prune136.0ms

regimes542.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

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