Details

Time bar (total: 3.1s)

sample15.0ms

Algorithm
intervals
Results
6.0ms267×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2213
3213

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.3b
(/ x (- y (* z t)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×fma-neg prod-diff associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
3.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series66.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- y (* z t))
34.0ms
(/ x (- y (* z t)))

simplify57.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0180288
1538261
21859260
35001245

prune136.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.3b

localize10.0ms

Local error

Found 1 expressions with local error:

3.3b
(/ (- x) (fma t z (- y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/l*
4×neg-mul-1
3×add-exp-log associate-/r* add-cbrt-cube
1×pow1 cbrt-undiv neg-sub0 expm1-log1p-u frac-2neg div-sub distribute-frac-neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 59
Calls
1 calls:
5.0ms
(/ (- x) (fma t z (- y)))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ (- x) (fma t z (- y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0181470
1581454
21592451
35001450

prune159.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.5b
(/ (cbrt x) (fma t z (- y)))
2.1b
(* (- (* (cbrt x) (cbrt x))) (/ (cbrt x) (fma t z (- y))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×times-frac
35×add-cube-cbrt *-un-lft-identity
28×cbrt-prod
22×associate-*r*
11×add-exp-log
9×add-cbrt-cube
6×pow1 associate-*l* associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* unswap-sqr
2×cbrt-undiv pow1/3 div-exp prod-exp cbrt-unprod div-inv
1×distribute-lft-neg-out distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(/ (cbrt x) (fma t z (- y)))
11.0ms
(* (- (* (cbrt x) (cbrt x))) (/ (cbrt x) (fma t z (- y))))

series528.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt x)
184.0ms
(cbrt x)
106.0ms
(/ (cbrt x) (fma t z (- y)))
61.0ms
(* (- (* (cbrt x) (cbrt x))) (/ (cbrt x) (fma t z (- y))))

simplify59.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0329992
11797875
25001839

prune408.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 3.3b

localize9.0ms

Local error

Found 4 expressions with local error:

3.3b
(/ (- x) (fma t z (- y)))
3.3b
(/ (- x) (fma t z (- y)))
14.8b
(sqrt (/ (- x) (fma t z (- y))))
14.8b
(sqrt (/ (- x) (fma t z (- y))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
122×times-frac
96×add-sqr-sqrt
90×add-cube-cbrt *-un-lft-identity
68×sqrt-prod
42×distribute-lft-neg-in distribute-rgt-neg-in
20×associate-/l*
14×neg-mul-1
8×add-exp-log add-cbrt-cube
6×pow1 associate-/r*
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u div-inv add-log-exp
2×cbrt-undiv neg-sub0 frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub distribute-frac-neg div-exp clear-num
Counts
4 → 214
Calls
4 calls:
5.0ms
(/ (- x) (fma t z (- y)))
5.0ms
(/ (- x) (fma t z (- y)))
6.0ms
(sqrt (/ (- x) (fma t z (- y))))
6.0ms
(sqrt (/ (- x) (fma t z (- y))))

series161.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (- x) (fma t z (- y)))
38.0ms
(/ (- x) (fma t z (- y)))
42.0ms
(sqrt (/ (- x) (fma t z (- y))))
47.0ms
(sqrt (/ (- x) (fma t z (- y))))

simplify64.0ms

Algorithm
egg-herbie
Counts
226 → 226
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
02451926
16771846
218461826
350011808

prune711.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 3.3b

regimes171.0ms

Accuracy

0% (0.0b remaining)

Error of 2.7b against oracle of 2.6b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample392.0ms

Algorithm
intervals
Results
196.0ms8395×body80valid