Details

sample42.0ms

Algorithm

intervals

Results

21.0ms

406×

body

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

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:

57.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
9.0ms	(* (- t 1.0) a)
9.0ms	(* (- y 1.0) z)
51.0ms	(* (- (+ y t) 2.0) b)

series250.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
35.0ms	(* (- t 1.0) a)
29.0ms	(* (- y 1.0) z)
29.0ms	(* (- (+ y t) 2.0) b)

simplify118.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	886	1273
1	4545	1219
2	5001	1219

prune365.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
0.6b	(cbrt (* (- t 1.0) a))
0.6b	(cbrt (* (- t 1.0) a))
0.6b	(cbrt (* (- t 1.0) a))

rewrite26.0ms

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:

11.0ms	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
6.0ms	(cbrt (* (- t 1.0) a))
3.0ms	(cbrt (* (- t 1.0) a))
3.0ms	(cbrt (* (- t 1.0) a))

series367.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
87.0ms	(cbrt (* (- t 1.0) a))
87.0ms	(cbrt (* (- t 1.0) a))
88.0ms	(cbrt (* (- t 1.0) a))

simplify134.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (125.0ms)

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

prune408.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (- (* t t) (* 1.0 1.0)) a)
1.7b	(* (- (* t t) (* 1.0 1.0)) a)
7.2b	(cbrt (* (- (* t t) (* 1.0 1.0)) a))
7.2b	(cbrt (* (- (* t t) (* 1.0 1.0)) a))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l` `associate-l/` `add-cbrt-cube`
6×	`associate-r`
4×	`cbrt-div` `flip3--` `flip--` `add-log-exp`
2×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

9.0ms	(* (- (* t t) (* 1.0 1.0)) a)
10.0ms	(* (- (* t t) (* 1.0 1.0)) a)
4.0ms	(cbrt (* (- (* t t) (* 1.0 1.0)) a))
4.0ms	(cbrt (* (- (* t t) (* 1.0 1.0)) a))

series414.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- (* t t) (* 1.0 1.0)) a)
40.0ms	(* (- (* t t) (* 1.0 1.0)) a)
162.0ms	(cbrt (* (- (* t t) (* 1.0 1.0)) a))
167.0ms	(cbrt (* (- (* t t) (* 1.0 1.0)) a))

simplify114.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	244	598
1	895	532
2	4809	512
3	5001	512

prune577.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(* (- y 1.0) z)
0.1b	(* (- (+ y t) 2.0) (sqrt b))
0.2b	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`associate-r`
17×	`associate-l`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`add-cube-cbrt`
10×	`associate-*l/`
7×	`sqrt-prod`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`flip3--` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `unswap-sqr`
3×	`difference-of-squares`
1×	`distribute-lft-out`

Counts

4 → 94

Calls

4 calls:

11.0ms	(* (- t 1.0) a)
9.0ms	(* (- y 1.0) z)
50.0ms	(* (- (+ y t) 2.0) (sqrt b))
67.0ms	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

series161.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (- t 1.0) a)
29.0ms	(* (- y 1.0) z)
65.0ms	(* (- (+ y t) 2.0) (sqrt b))
38.0ms	(* (* (- (+ y t) 2.0) (sqrt b)) (sqrt b))

simplify51.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	424	545
1	1788	458
2	5001	454

prune286.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes236.0ms

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

sample1.0s

Algorithm

intervals

Results

572.0ms	12523×	body	80	valid
1.0ms	4×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid