Details

Time bar (total: 1.2s)

sample14.0ms

Algorithm
intervals
Results
3.0ms256×pre80true
3.0ms256×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1273
2663
31133
41453
51653
61823
71843
81843

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ a b) (+ a b))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
1×pow2 distribute-rgt-in expm1-log1p-u distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 42
Calls
1 calls:
8.0ms
(* (+ a b) (+ a b))

series14.0ms

Counts
1 → 3
Calls
1 calls:
14.0ms
(* (+ a b) (+ a b))

simplify34.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0195218
1958194
25002180

prune53.0ms

Filtered
45 candidates to 21 candidates (46.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* a a) (* b b))
0.0b
(* (- a b) (- a b))
0.6b
(/ (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)))
0.6b
(* (- (* a a) (* b b)) (- (* a a) (* b b)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
36×add-sqr-sqrt
25×flip3-- flip--
24×add-cube-cbrt
21×prod-diff
20×add-exp-log add-cbrt-cube
18×pow1
16×frac-times
14×distribute-rgt-in distribute-lft-in
11×swap-sqr
9×associate-*r* associate-*l* difference-of-squares
8×associate-*r/ associate-*l/ associate-/r/ associate-/l/
6×prod-exp cbrt-unprod distribute-lft-out-- add-log-exp
5×sub-neg
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up unswap-sqr
1×frac-2neg times-frac fma-neg diff-log clear-num associate-/r* div-inv associate-/l*
Counts
4 → 165
Calls
4 calls:
4.0ms
(- (* a a) (* b b))
10.0ms
(* (- a b) (- a b))
17.0ms
(/ (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)))
10.0ms
(* (- (* a a) (* b b)) (- (* a a) (* b b)))

series127.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (* a a) (* b b))
17.0ms
(* (- a b) (- a b))
42.0ms
(/ (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)))
39.0ms
(* (- (* a a) (* b b)) (- (* a a) (* b b)))

simplify145.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 2 (127.0ms)

IterNodesCost
06311711
139811288
250011275

prune261.0ms

Filtered
177 candidates to 100 candidates (56.5%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 2 (* a b) (pow b 2))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma 2 (* a b) (pow b 2))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(fma 2 (* a b) (pow b 2))

simplify93.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
02759
17752
235948
3184947
4500147

prune34.0ms

Filtered
13 candidates to 11 candidates (84.6%)
Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample321.0ms

Algorithm
intervals
Results
104.0ms8000×pre80true
99.0ms8000×body80valid