Details

Time bar (total: 3.9s)

sample21.0ms

Algorithm
intervals
Results
9.0ms268×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1407
2567
3767
4907
5947
6947

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.7b
(- (* b c) (* a d))
24.2b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ fma-neg diff-log div-sub div-exp prod-diff clear-num flip-+ div-inv
Counts
2 → 50
Calls
2 calls:
8.0ms
(- (* b c) (* a d))
28.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (* b c) (* a d))
91.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify105.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0268481
11010432
23840422
35001421

prune149.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 12.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (* (hypot c d) 1))
0.3b
(* (/ 1 (* (hypot c d) 1)) (/ (- (* b c) (* a d)) (hypot c d)))
0.7b
(- (* b c) (* a d))
14.9b
(/ (- (* b c) (* a d)) (hypot c d))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
83×add-exp-log
38×prod-exp
32×add-cbrt-cube
29×div-exp
28×add-sqr-sqrt
25×times-frac
23×add-cube-cbrt *-un-lft-identity
18×1-exp
13×associate-*r*
10×cbrt-undiv
9×pow1 rec-exp cbrt-unprod
7×associate-*l*
6×associate-/l* add-log-exp
4×expm1-log1p-u associate-/r* log1p-expm1-u div-inv
2×flip3-- pow-flip frac-2neg pow-prod-down clear-num flip-- associate-/l/ unswap-sqr
1×frac-times sub-neg fma-neg diff-log div-sub associate-*r/ prod-diff associate-*l/ *-commutative inv-pow
Counts
4 → 143
Calls
4 calls:
13.0ms
(/ 1 (* (hypot c d) 1))
50.0ms
(* (/ 1 (* (hypot c d) 1)) (/ (- (* b c) (* a d)) (hypot c d)))
8.0ms
(- (* b c) (* a d))
18.0ms
(/ (- (* b c) (* a d)) (hypot c d))

series395.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ 1 (* (hypot c d) 1))
179.0ms
(* (/ 1 (* (hypot c d) 1)) (/ (- (* b c) (* a d)) (hypot c d)))
41.0ms
(- (* b c) (* a d))
121.0ms
(/ (- (* b c) (* a d)) (hypot c d))

simplify63.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05531207
123041003
25001995

prune319.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot c d)
0.1b
(/ (/ (- (* b c) (* a d)) (hypot c d)) (* (hypot c d) 1))
0.7b
(- (* b c) (* a d))
14.9b
(/ (- (* b c) (* a d)) (hypot c d))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
23×add-exp-log
18×add-cbrt-cube
16×associate-/l*
10×div-exp
7×cbrt-undiv
6×add-log-exp
4×pow1 expm1-log1p-u prod-exp associate-/r* log1p-expm1-u div-inv
3×div-sub associate-/l/
2×flip3-- frac-2neg 1-exp clear-num flip-- cbrt-unprod
1×sub-neg hypot-udef fma-neg diff-log prod-diff
Counts
4 → 109
Calls
4 calls:
0.0ms
(hypot c d)
22.0ms
(/ (/ (- (* b c) (* a d)) (hypot c d)) (* (hypot c d) 1))
8.0ms
(- (* b c) (* a d))
18.0ms
(/ (- (* b c) (* a d)) (hypot c d))

series326.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(hypot c d)
120.0ms
(/ (/ (- (* b c) (* a d)) (hypot c d)) (* (hypot c d) 1))
43.0ms
(- (* b c) (* a d))
119.0ms
(/ (- (* b c) (* a d)) (hypot c d))

simplify46.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0430989
11704876
25002875

prune314.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* b c) (hypot c d)) (/ (* a d) (hypot c d)))
0.1b
(/ (- (/ (* b c) (hypot c d)) (/ (* a d) (hypot c d))) (* (hypot c d) 1))
8.9b
(/ (* b c) (hypot c d))
10.4b
(/ (* a d) (hypot c d))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
57×times-frac
49×prod-diff
46×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
24×div-inv
21×add-exp-log
19×add-cbrt-cube
8×associate-/l*
7×fma-neg div-exp associate-/r*
6×cbrt-undiv add-log-exp
4×pow1 expm1-log1p-u prod-exp log1p-expm1-u associate-/l/
3×distribute-rgt-out-- frac-2neg clear-num cbrt-unprod distribute-lft-out-- difference-of-squares
2×flip3-- frac-sub flip-- sub-div
1×sub-neg diff-log 1-exp div-sub
Counts
4 → 156
Calls
4 calls:
21.0ms
(- (/ (* b c) (hypot c d)) (/ (* a d) (hypot c d)))
55.0ms
(/ (- (/ (* b c) (hypot c d)) (/ (* a d) (hypot c d))) (* (hypot c d) 1))
9.0ms
(/ (* b c) (hypot c d))
12.0ms
(/ (* a d) (hypot c d))

series581.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(- (/ (* b c) (hypot c d)) (/ (* a d) (hypot c d)))
244.0ms
(/ (- (/ (* b c) (hypot c d)) (/ (* a d) (hypot c d))) (* (hypot c d) 1))
71.0ms
(/ (* b c) (hypot c d))
72.0ms
(/ (* a d) (hypot c d))

simplify84.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06222347
129991732
250021678

prune337.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes137.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03231
13831
23831

end0.0ms

sample587.0ms

Algorithm
intervals
Results
281.0ms8478×body80valid