Details

sample38.0ms

Algorithm

intervals

Results

18.0ms	401×	body	80	valid
0.0ms	1×	body	160	valid

simplify38.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
16×	`associate-l`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-*l/` `add-cbrt-cube`
9×	`associate-r` `add-log-exp`
8×	`flip3--` `flip--`
4×	`frac-sub` `distribute-lft-out--`
3×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
2×	`sub-neg` `associate--l+`
1×	`associate--l-` `distribute-lft-out`

Counts

4 → 87

Calls

4 calls:

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

series182.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- y 1.0) z)
34.0ms	(* (- t 1.0) a)
94.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
27.0ms	(* (- (+ y t) 2.0) b)

simplify56.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	520	593
1	2119	539
2	5002	539

prune409.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))

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 (- 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))

series401.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
94.0ms	(cbrt (- t 1.0))
94.0ms	(cbrt (- t 1.0))
94.0ms	(cbrt (- t 1.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	368	838
1	1223	798
2	5002	733

prune443.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- x (* (- y 1.0) z)) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0)))
0.0b	(* (- (+ y t) 2.0) b)
3.1b	(* (- (* t t) (* 1.0 1.0)) a)
5.0b	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

9.0ms	(- (- x (* (- y 1.0) z)) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0)))
8.0ms	(* (- (+ y t) 2.0) b)
8.0ms	(* (- (* t t) (* 1.0 1.0)) a)
9.0ms	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

series265.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(- (- x (* (- y 1.0) z)) (/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0)))
26.0ms	(* (- (+ y t) 2.0) b)
40.0ms	(* (- (* t t) (* 1.0 1.0)) a)
53.0ms	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	580	843
1	2642	750
2	5001	742

prune321.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

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))
0.1b	(* (- (+ y t) 2.0) (sqrt b))
0.2b	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

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

series214.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (- t 1.0) a)
87.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
61.0ms	(* (- (+ y t) 2.0) (sqrt b))
38.0ms	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

simplify61.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	577	742
1	2471	655
2	5003	651

prune287.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes186.0ms

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

sample996.0ms

Algorithm

intervals

Results

572.0ms	12471×	body	80	valid
1.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid