Details

Time bar (total: 3.9s)

sample36.0ms

Algorithm
intervals
Results
20.0ms504×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1427
2547
3547

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
17.7b
(/ (* z z) (* t t))
22.4b
(/ (* x x) (* y y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×*-un-lft-identity add-log-exp
3×pow1 add-sqr-sqrt add-cube-cbrt
2×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
1×+-commutative flip3-+ frac-add sum-log flip-+ distribute-lft-out
Counts
3 → 55
Calls
3 calls:
9.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
5.0ms
(/ (* z z) (* t t))
5.0ms
(/ (* x x) (* y y))

series149.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
30.0ms
(/ (* z z) (* t t))
27.0ms
(/ (* x x) (* y y))

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0375410
11850329
25002297

prune135.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
0.3b
(* (/ x y) (/ x y))
17.7b
(/ (* z z) (* t t))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
41×times-frac
31×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
10×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×div-inv add-log-exp
4×unswap-sqr
3×frac-add
2×frac-times associate-*r/ associate-*l/
1×+-commutative pow2 frac-2neg flip3-+ pow-plus pow-prod-down clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-+ associate-/l*
Counts
3 → 102
Calls
3 calls:
7.0ms
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
16.0ms
(* (/ x y) (/ x y))
5.0ms
(/ (* z z) (* t t))

series144.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
25.0ms
(* (/ x y) (/ x y))
26.0ms
(/ (* z z) (* t t))

simplify73.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0590695
12942594
25002564

prune247.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
0.3b
(* (/ x y) (/ x y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
80×times-frac
59×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
17×pow1
9×frac-add
8×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
5×add-log-exp
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 154
Calls
3 calls:
6.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
13.0ms
(* (/ z t) (/ z t))
13.0ms
(* (/ x y) (/ x y))

series346.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
26.0ms
(* (/ z t) (/ z t))
227.0ms
(* (/ x y) (/ x y))

simplify107.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
08181019
14079895
25001862

prune337.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ z t)) (cbrt (/ z t)))
10.7b
(cbrt (/ z t))
10.7b
(cbrt (/ z t))
10.7b
(cbrt (/ z t))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
17.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
1.0ms
(cbrt (/ z t))
1.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))

series261.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
58.0ms
(cbrt (/ z t))
60.0ms
(cbrt (/ z t))
62.0ms
(cbrt (/ z t))

simplify71.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
02601109
19021061
235251016
35001992

prune462.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

regimes378.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02416
12416

end0.0ms

sample912.0ms

Algorithm
intervals
Results
550.0ms15388×body80valid