Details

sample39.0ms

Algorithm

intervals

Results

15.0ms	383×	body	80	valid
0.0ms	1×	body	160	valid

simplify39.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

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:

30.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
20.0ms	(* (- t 1.0) a)
97.0ms	(* (- (+ y t) 2.0) b)
20.0ms	(* (- y 1.0) z)

series160.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
26.0ms	(* (- t 1.0) a)
23.0ms	(* (- (+ y t) 2.0) b)
26.0ms	(* (- y 1.0) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (11.0ms)

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

prune274.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
0.6b	(cbrt (* (- (+ y t) 2.0) b))
0.6b	(cbrt (* (- (+ y t) 2.0) b))
0.6b	(cbrt (* (- (+ y t) 2.0) b))

rewrite210.0ms

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:

114.0ms	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
31.0ms	(cbrt (* (- (+ y t) 2.0) b))
30.0ms	(cbrt (* (- (+ y t) 2.0) b))
33.0ms	(cbrt (* (- (+ y t) 2.0) b))

series468.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
108.0ms	(cbrt (* (- (+ y t) 2.0) b))
110.0ms	(cbrt (* (- (+ y t) 2.0) b))
111.0ms	(cbrt (* (- (+ y t) 2.0) b))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	383	977
1	1181	908
2	5002	822

prune386.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize153.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
0.5b	(cbrt (* (- t 1.0) a))
0.5b	(cbrt (* (- t 1.0) a))
0.5b	(cbrt (* (- t 1.0) a))

rewrite53.0ms

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:

29.0ms	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
7.0ms	(cbrt (* (- t 1.0) a))
7.0ms	(cbrt (* (- t 1.0) a))
7.0ms	(cbrt (* (- t 1.0) a))

series366.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
77.0ms	(cbrt (* (- t 1.0) a))
79.0ms	(cbrt (* (- t 1.0) a))
103.0ms	(cbrt (* (- t 1.0) a))

simplify138.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	353	839
1	1065	784
2	4742	705
3	5002	698

prune375.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (+ y t) 2.0) b)
0.0b	(* (- y 1.0) z)
4.1b	(* (- (* t t) (* 1.0 1.0)) a)
6.2b	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

96.0ms	(* (- (+ y t) 2.0) b)
20.0ms	(* (- y 1.0) z)
26.0ms	(* (- (* t t) (* 1.0 1.0)) a)
23.0ms	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

series143.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (- (+ y t) 2.0) b)
25.0ms	(* (- y 1.0) z)
37.0ms	(* (- (* t t) (* 1.0 1.0)) a)
54.0ms	(/ (* (- (* t t) (* 1.0 1.0)) a) (+ t 1.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	483	599
1	2282	503
2	5001	495

prune297.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	21
1	27	21

end0.0ms

sample1.1s

Algorithm

intervals

Results

491.0ms	12447×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	valid