Details

Time bar (total: 3.3s)

sample30.0ms

Algorithm
intervals
Results
16.0ms330×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0258
1478
2968
31658
42418
53908
611938
750028

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b
(* (* z 2.0) (- 1.0 t))
9.4b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
10×*-un-lft-identity
8×pow1 add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r* add-log-exp
4×prod-exp cbrt-unprod
3×times-frac pow-prod-down associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in flip3-+ associate-*r/ div-exp flip-+ associate-/l/
1×+-commutative flip3-- frac-2neg associate-*l* frac-add clear-num associate-/r* sum-log *-commutative flip-- div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 62
Calls
3 calls:
10.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms
(* (* z 2.0) (- 1.0 t))
6.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series161.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
44.0ms
(* (* z 2.0) (- 1.0 t))
65.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify49.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0415543
11753476
25001473

prune163.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite40.0ms

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:
6.0ms
(+ (/ 2.0 z) 2.0)
16.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
15.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series126.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (/ 2.0 z) 2.0)
58.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
38.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0499587
12115523
25001506

prune195.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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:
6.0ms
(+ (/ 2.0 z) 2.0)
18.0ms
(+ (/ x y) (- (* (/ (sqrt 1) 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0))
9.0ms
(/ (+ (/ 2.0 z) 2.0) t)

series123.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (/ 2.0 z) 2.0)
48.0ms
(+ (/ x y) (- (* (/ (sqrt 1) 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0))
42.0ms
(/ (+ (/ 2.0 z) 2.0) t)

simplify38.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0350591
11121547
25001518

prune194.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

6.9b
(/ (* t z) (cbrt (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
9.5b
(cbrt (+ 2.0 (* (* z 2.0) (- 1.0 t))))
9.5b
(cbrt (+ 2.0 (* (* z 2.0) (- 1.0 t))))
9.5b
(cbrt (+ 2.0 (* (* z 2.0) (- 1.0 t))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×add-exp-log
8×cbrt-div
7×add-cbrt-cube
6×times-frac associate-/r*
4×pow1 flip3-+ flip-+ add-log-exp
3×pow1/3
2×cbrt-undiv div-exp associate-/r/
1×frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 68
Calls
4 calls:
6.0ms
(/ (* t z) (cbrt (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
2.0ms
(cbrt (+ 2.0 (* (* z 2.0) (- 1.0 t))))
2.0ms
(cbrt (+ 2.0 (* (* z 2.0) (- 1.0 t))))
2.0ms
(cbrt (+ 2.0 (* (* z 2.0) (- 1.0 t))))

series752.0ms

Counts
4 → 12
Calls
4 calls:
303.0ms
(/ (* t z) (cbrt (+ 2.0 (* (* z 2.0) (- 1.0 t)))))
151.0ms
(cbrt (+ 2.0 (* (* z 2.0) (- 1.0 t))))
150.0ms
(cbrt (+ 2.0 (* (* z 2.0) (- 1.0 t))))
147.0ms
(cbrt (+ 2.0 (* (* z 2.0) (- 1.0 t))))

simplify50.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04221041
11587965
25002950

prune314.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes116.0ms

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
0209
1209

end0.0ms

sample698.0ms

Algorithm
intervals
Results
440.0ms10373×body80valid