Details

Time bar (total: 4.1s)

sample22.0ms

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

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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))
25.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series138.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (* b c) (* a d))
93.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify110.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
0268481
11010432
23840422
35001421

prune147.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 12.0b

localize14.0ms

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))

rewrite91.0ms

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:
11.0ms
(/ 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))

series411.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ 1 (* (hypot c d) 1))
188.0ms
(* (/ 1 (* (hypot c d) 1)) (/ (- (* b c) (* a d)) (hypot c d)))
46.0ms
(- (* b c) (* a d))
123.0ms
(/ (- (* 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

prune323.0ms

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/l*
11×add-exp-log add-cbrt-cube
6×associate-/r* div-inv add-log-exp
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
3×div-sub associate-/l/
2×flip3-- frac-2neg clear-num flip--
1×sub-neg hypot-udef fma-neg diff-log prod-diff
Counts
4 → 131
Calls
4 calls:
0.0ms
(hypot c d)
18.0ms
(/ (/ (- (* b c) (* a d)) (hypot c d)) (hypot c d))
8.0ms
(- (* b c) (* a d))
21.0ms
(/ (- (* b c) (* a d)) (hypot c d))

series350.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(hypot c d)
128.0ms
(/ (/ (- (* b c) (* a d)) (hypot c d)) (hypot c d))
41.0ms
(- (* b c) (* a d))
129.0ms
(/ (- (* b c) (* a d)) (hypot c d))

simplify51.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04581435
116671331
250011322

prune388.0ms

Pruning

11 alts after pruning (11 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))
8.9b
(/ (* b c) (hypot c d))
10.4b
(/ (* a d) (hypot c d))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
69×times-frac
59×add-sqr-sqrt *-un-lft-identity
49×add-cube-cbrt prod-diff
28×div-inv
16×add-exp-log add-cbrt-cube
9×associate-/r*
8×associate-/l*
7×fma-neg
6×add-log-exp
5×cbrt-undiv distribute-rgt-out-- div-exp distribute-lft-out-- difference-of-squares
4×pow1 expm1-log1p-u log1p-expm1-u associate-/l/
3×frac-2neg clear-num
2×flip3-- prod-exp frac-sub flip-- cbrt-unprod sub-div
1×sub-neg diff-log div-sub
Counts
4 → 167
Calls
4 calls:
24.0ms
(- (/ (* 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))
9.0ms
(/ (* b c) (hypot c d))
9.0ms
(/ (* a d) (hypot c d))

series612.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(- (/ (* b c) (hypot c d)) (/ (* a d) (hypot c d)))
257.0ms
(/ (- (/ (* b c) (hypot c d)) (/ (* a d) (hypot c d))) (hypot c d))
77.0ms
(/ (* b c) (hypot c d))
76.0ms
(/ (* a d) (hypot c d))

simplify80.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06072530
125761870
250011867

prune386.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes134.0ms

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
03230
13830
23830

end0.0ms

sample558.0ms

Algorithm
intervals
Results
277.0ms8478×body80valid