Details

Time bar (total: 2.7s)

sample43.0ms

Algorithm
intervals
Results
22.0ms322×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0258
1478
2968
31658
42418
53908
611938
750028

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
9.6b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/l*
2×pow1 cbrt-undiv flip3-+ div-exp flip-+ associate-/l/
1×+-commutative frac-2neg frac-add prod-exp clear-num associate-/r* sum-log cbrt-unprod div-inv distribute-lft-out
Counts
2 → 36
Calls
2 calls:
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))

series109.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
63.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify37.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0283409
11039362
25001359

prune110.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.0b
(+ (/ 2.0 z) 2.0)
0.1b
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite82.0ms

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:
39.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
8.0ms
(+ (/ 2.0 z) 2.0)
32.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series139.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
43.0ms
(+ (/ 2.0 z) 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

prune201.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (- (* (/ 1 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0))
0.0b
(+ (/ 2.0 z) 2.0)
0.1b
(/ (+ (/ 2.0 z) 2.0) t)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
10×add-log-exp
6×distribute-lft-out
5×add-exp-log add-cbrt-cube
4×associate-/l*
3×pow1 flip3-+ associate-/r* sum-log flip-+
2×+-commutative associate-+r+ frac-add associate-/l/
1×cbrt-undiv associate-+r- sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- div-inv
Counts
3 → 63
Calls
3 calls:
43.0ms
(+ (/ x y) (- (* (/ 1 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0))
8.0ms
(+ (/ 2.0 z) 2.0)
22.0ms
(/ (+ (/ 2.0 z) 2.0) t)

series115.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ (/ x y) (- (* (/ 1 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0))
32.0ms
(+ (/ 2.0 z) 2.0)
36.0ms
(/ (+ (/ 2.0 z) 2.0) t)

simplify104.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0348517
11137483
24985456
35001456

prune184.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ 1 (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))))
0.1b
(/ 1 (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
9.5b
(/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
30×*-un-lft-identity
29×add-exp-log
23×add-sqr-sqrt add-cube-cbrt
17×add-cbrt-cube
14×div-exp
12×associate-/r*
11×associate-/r/
7×cbrt-undiv div-inv
6×flip3-+ flip-+
5×add-log-exp
4×pow1 prod-exp associate-/l*
3×rec-exp 1-exp distribute-lft-out
2×frac-2neg clear-num cbrt-unprod
1×+-commutative pow-flip frac-add sum-log inv-pow
Counts
3 → 102
Calls
3 calls:
31.0ms
(+ (/ x y) (/ 1 (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))))
8.0ms
(/ 1 (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
6.0ms
(/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))

series184.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(+ (/ x y) (/ 1 (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))))
61.0ms
(/ 1 (/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
65.0ms
(/ (* t z) (+ 2.0 (* (* z 2.0) (- 1.0 t))))

simplify71.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05361276
127881089
250011080

prune221.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0197
1217
2217

end0.0ms

sample687.0ms

Algorithm
intervals
Results
413.0ms10529×body80valid