Details

Time bar (total: 4.6s)

sample39.0ms

Algorithm
intervals
Results
25.0ms338×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0258
1478
2968
31658
42418
53908
611938
750028

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* z 2.0) (- 1.0 t))
0.0b
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.4b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
11×*-un-lft-identity
9×pow1 add-sqr-sqrt
8×add-log-exp
7×add-cube-cbrt
5×associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in prod-exp cbrt-unprod
3×flip3-+ times-frac pow-prod-down flip-+ associate-/l*
2×cbrt-undiv +-commutative associate-*r/ div-exp sum-log associate-/l/
1×flip3-- frac-2neg associate-*l* frac-add clear-num associate-/r* *-commutative flip-- div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 77
Calls
4 calls:
12.0ms
(* (* z 2.0) (- 1.0 t))
6.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
15.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series186.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (* z 2.0) (- 1.0 t))
30.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
49.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
59.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify52.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0444646
11848578
25002571

prune198.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 2.0 z) 2.0)
0.0b
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.2b
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity
13×associate-*l*
12×add-exp-log
11×add-cube-cbrt times-frac
10×add-log-exp
8×add-cbrt-cube
5×pow1
4×associate-+r+ flip3-+ associate-*r* prod-exp flip-+
3×sum-log distribute-lft-out unswap-sqr
2×+-commutative distribute-rgt-in frac-times distribute-lft-in associate-*r/ div-exp frac-add associate--l+ cbrt-unprod
1×cbrt-undiv associate-+r- sub-neg rec-exp flip3-- diff-log 1-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv
Counts
3 → 74
Calls
3 calls:
9.0ms
(+ (/ 2.0 z) 2.0)
39.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
37.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series122.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (/ 2.0 z) 2.0)
55.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
40.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0499587
12115523
25001506

prune193.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b
(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
7.4b
(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
7.8b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
60×*-un-lft-identity
54×add-sqr-sqrt add-cube-cbrt
16×associate-/l*
11×add-exp-log add-cbrt-cube
8×add-log-exp
6×associate-/r* div-inv
4×pow1 cbrt-undiv associate-+r+ div-exp
3×flip3-+ flip-+ associate-/l/
2×+-commutative distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num sum-log distribute-lft-out
1×frac-add
Counts
4 → 128
Calls
4 calls:
5.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
69.0ms
(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
12.0ms
(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
9.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

series202.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
45.0ms
(+ (/ x y) (/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z))
63.0ms
(/ (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t) z)
59.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) t)

simplify55.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05631484
119731397
250011390

prune552.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
3.3b
(* (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* (cbrt z) (cbrt z))) (/ (/ 1 t) (cbrt z)))
5.2b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* (cbrt z) (cbrt z)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
123×add-sqr-sqrt
83×*-un-lft-identity
82×associate-*r*
79×add-cube-cbrt
69×add-exp-log
51×cbrt-prod
31×add-cbrt-cube
30×div-exp
21×prod-exp
17×cbrt-undiv
14×unswap-sqr
13×cbrt-unprod
9×div-inv
7×associate-*l*
6×pow1
4×add-log-exp
3×rec-exp 1-exp associate-/l*
2×pow1/3 associate-/l/
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative flip-+
Counts
4 → 184
Calls
4 calls:
0.0ms
(cbrt z)
1.0ms
(cbrt z)
52.0ms
(* (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* (cbrt z) (cbrt z))) (/ (/ 1 t) (cbrt z)))
11.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* (cbrt z) (cbrt z)))

series557.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt z)
181.0ms
(cbrt z)
82.0ms
(* (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* (cbrt z) (cbrt z))) (/ (/ 1 t) (cbrt z)))
118.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* (cbrt z) (cbrt z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011652726
150022297

prune651.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes206.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0187
1187

end0.0ms

sample1.1s

Algorithm
intervals
Results
823.0ms10426×body80valid