Details

Time bar (total: 3.5s)

sample36.0ms

Algorithm
intervals
Results
20.0ms504×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
21.6b
(/ (* x x) (* y y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
1×frac-2neg times-frac clear-num associate-/r* fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
1.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
7.0ms
(/ (* x x) (* y y))

series125.0ms

Counts
2 → 6
Calls
2 calls:
97.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
28.0ms
(/ (* x x) (* y y))

simplify89.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune103.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1
7×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×hypot-udef
3×add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
1×pow2 expm1-log1p-u pow-plus sqrt-unprod pow-prod-down prod-exp rem-square-sqrt pow-sqr *-commutative pow-prod-up cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 29
Calls
1 calls:
4.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

series125.0ms

Counts
1 → 3
Calls
1 calls:
125.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0102250
1349202
21559176
35001171

prune87.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.8b
(pow (sqrt (hypot (/ z t) (/ x y))) 4)
1.6b
(sqrt (hypot (/ z t) (/ x y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×add-cube-cbrt unpow-prod-down *-un-lft-identity sqrt-prod
5×pow1
3×add-exp-log pow-unpow pow-pow
2×expm1-log1p-u sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
1×pow-to-exp rem-sqrt-square pow-exp sqrt-pow2 sqr-pow
Counts
2 → 40
Calls
2 calls:
3.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 4)
2.0ms
(sqrt (hypot (/ z t) (/ x y)))

series321.0ms

Counts
2 → 6
Calls
2 calls:
243.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 4)
78.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify79.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0105260
1333218
21475211
35001211

prune138.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))
8.5b
(cbrt (* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y))))
8.5b
(cbrt (* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y))))
8.5b
(cbrt (* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
4×expm1-log1p-u hypot-udef log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 swap-sqr associate-*r* associate-*l*
1×pow2 pow-plus sqrt-unprod pow-prod-down prod-exp rem-square-sqrt pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 62
Calls
4 calls:
6.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))
2.0ms
(cbrt (* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y))))
2.0ms
(cbrt (* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y))))
2.0ms
(cbrt (* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y))))

series560.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))
144.0ms
(cbrt (* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y))))
147.0ms
(cbrt (* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y))))
146.0ms
(cbrt (* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y))))

simplify93.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0176673
1603565
23065518
35003504

prune241.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.1b

regimes393.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087

end0.0ms

sample964.0ms

Algorithm
intervals
Results
576.0ms15542×body80valid