Details

sample57.0ms

Algorithm

intervals

Results

26.0ms

419×

body

valid

simplify36.0ms

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

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*l/`
23×	`flip3--` `flip--`
18×	`add-log-exp`
16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`frac-add` `frac-sub`
11×	`associate-l`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
6×	`diff-log` `associate-r`
4×	`sub-neg` `associate-+l+` `associate--l+`
3×	`sum-log` `distribute-lft-out--`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 95

Calls

4 calls:

6.0ms	(* (- t 1.0) a)
6.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
8.0ms	(* (- (+ y t) 2.0) b)
12.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))

series81.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- t 1.0) a)
23.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
6.0ms	(* (- (+ y t) 2.0) b)
47.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))

simplify99.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	835	1467
1	4303	1416
2	5001	1416

prune202.0ms

Filtered

77 candidates to 107 candidates (-39.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	100	7	107
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	8	108

Merged error: 0.0b

Counts

108 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
0.2b	(cbrt (- t 1.0))
0.2b	(cbrt (- t 1.0))
0.2b	(cbrt (- t 1.0))

rewrite22.0ms

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:

10.0ms	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
3.0ms	(cbrt (- t 1.0))
3.0ms	(cbrt (- t 1.0))
3.0ms	(cbrt (- t 1.0))

series34.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
7.0ms	(cbrt (- t 1.0))
7.0ms	(cbrt (- t 1.0))
10.0ms	(cbrt (- t 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	368	950
1	1208	913
2	5002	856

prune282.0ms

Filtered

81 candidates to 113 candidates (-39.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	113	8	121

Merged error: 0.0b

Counts

121 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt a) (cbrt a))
0.5b	(cbrt a)
0.5b	(cbrt a)
0.5b	(cbrt a)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt a) (cbrt a))
1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)

series96.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt a) (cbrt a))
22.0ms	(cbrt a)
22.0ms	(cbrt a)
24.0ms	(cbrt a)

simplify74.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune107.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ y t) (+ y t))
0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0)))
5.9b	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
10.7b	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
12×	`add-cube-cbrt`
10×	`associate-*l/`
8×	`flip3-+` `associate-l` `flip-+`
7×	`flip3--` `associate-r` `flip--`
6×	`swap-sqr` `frac-add`
5×	`times-frac` `associate-/r*`
4×	`frac-times` `associate-+l+` `frac-sub`
3×	`diff-log` `prod-exp` `sum-log` `cbrt-unprod`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `pow-prod-down` `associate--l+` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `pow2` `distribute-rgt-in` `associate-+l-` `frac-2neg` `distribute-lft-in` `pow-plus` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*` `difference-of-squares`

Counts

4 → 115

Calls

4 calls:

8.0ms	(* (+ y t) (+ y t))
14.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0)))
11.0ms	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
16.0ms	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

series176.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (+ y t) (+ y t))
139.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0)))
14.0ms	(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
20.0ms	(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	975	1495
1	5001	1383

prune165.0ms

Filtered

80 candidates to 127 candidates (-58.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	127	8	135

Merged error: 0.0b

Counts

135 → 8

regimes662.0ms

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	10
1	23	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

701.0ms	12584×	body	80	valid
1.0ms	4×	body	320	valid
0.0ms	1×	body	640	valid

Details

sample57.0ms

simplify36.0ms

prune4.0ms

localize14.0ms

rewrite34.0ms

series81.0ms

simplify99.0ms

prune202.0ms

localize17.0ms

rewrite22.0ms

series34.0ms

simplify42.0ms

prune282.0ms

localize18.0ms

rewrite11.0ms

series96.0ms

simplify74.0ms

prune107.0ms

localize18.0ms

rewrite54.0ms

series176.0ms

simplify41.0ms

prune165.0ms

regimes662.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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