Details

Time bar (total: 7.0s)

sample86.0ms

Algorithm
intervals
Results
68.0ms639×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05114
115514
243014
3119514
4252614
5500114

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b
(* (* a a) (- 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
1.5b
(* (* b b) (+ 3.0 a))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
4×distribute-rgt-in distribute-lft-in associate-*r/
3×unpow-prod-down pow-unpow
2×sub-neg associate-+r+ flip3-+ associate-*l* *-commutative flip-+ unswap-sqr
1×+-commutative pow-to-exp flip3-- pow-pow pow-exp sum-log flip-- distribute-lft-out distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 81
Calls
4 calls:
26.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
13.0ms
(* (* a a) (- 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
14.0ms
(* (* b b) (+ 3.0 a))

series297.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
57.0ms
(* (* a a) (- 1.0 a))
101.0ms
(pow (+ (* a a) (* b b)) 2.0)
32.0ms
(* (* b b) (+ 3.0 a))

simplify65.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0506651
12520583
25001583

prune431.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2 (* (pow a 2) (pow b 2)))
0.0b
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
2.5b
(* (pow a 2) (pow b 2))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
28×prod-exp
24×add-sqr-sqrt
16×unswap-sqr
14×unpow-prod-down
12×pow-to-exp pow-exp
11×associate-*l*
10×add-cbrt-cube unpow2 sqr-pow
9×associate-*r*
8×add-cube-cbrt *-un-lft-identity
5×pow1 add-log-exp
4×cbrt-unprod
2×pow-prod-down *-commutative
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 87
Calls
3 calls:
10.0ms
(* 2 (* (pow a 2) (pow b 2)))
9.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
9.0ms
(* (pow a 2) (pow b 2))

series118.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* 2 (* (pow a 2) (pow b 2)))
53.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
31.0ms
(* (pow a 2) (pow b 2))

simplify45.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0297518
11268445
25002432

prune194.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (/ -1 a) -4.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b
(* (* a a) (- 1.0 a))
0.4b
(pow (/ -1 a) -4.0)
1.5b
(* (* b b) (+ 3.0 a))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity
17×add-exp-log
15×pow1
14×add-cube-cbrt add-cbrt-cube
13×unpow-prod-down
9×times-frac associate-*r*
6×pow-prod-down prod-exp cbrt-unprod add-log-exp
4×distribute-rgt-in distribute-lft-in associate-*r/
3×pow-unpow
2×sub-neg associate-+r+ flip3-+ associate-*l* pow-exp *-commutative flip-+ unswap-sqr
1×+-commutative pow-to-exp flip3-- pow-pow div-exp sum-log flip-- div-inv distribute-lft-out distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 92
Calls
4 calls:
20.0ms
(+ (pow (/ -1 a) -4.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
16.0ms
(* (* a a) (- 1.0 a))
3.0ms
(pow (/ -1 a) -4.0)
13.0ms
(* (* b b) (+ 3.0 a))

series356.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(+ (pow (/ -1 a) -4.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
49.0ms
(* (* a a) (- 1.0 a))
181.0ms
(pow (/ -1 a) -4.0)
32.0ms
(* (* b b) (+ 3.0 a))

simplify77.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0590653
12700581
25001581

prune294.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (* b b) (+ 3.0 a))
27.2b
(cbrt (pow (/ -1 a) -4.0))
27.2b
(cbrt (pow (/ -1 a) -4.0))
27.2b
(cbrt (pow (/ -1 a) -4.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
51×cbrt-prod
39×unpow-prod-down
31×*-un-lft-identity
30×add-sqr-sqrt
29×add-cube-cbrt
27×times-frac
9×pow1 add-exp-log add-cbrt-cube
4×associate-*r* add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod div-inv sqr-pow
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
4 → 99
Calls
4 calls:
14.0ms
(* (* b b) (+ 3.0 a))
3.0ms
(cbrt (pow (/ -1 a) -4.0))
3.0ms
(cbrt (pow (/ -1 a) -4.0))
3.0ms
(cbrt (pow (/ -1 a) -4.0))

series1.5s

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* b b) (+ 3.0 a))
465.0ms
(cbrt (pow (/ -1 a) -4.0))
513.0ms
(cbrt (pow (/ -1 a) -4.0))
461.0ms
(cbrt (pow (/ -1 a) -4.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0353778
11270736
25002730

prune441.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes211.0ms

Accuracy

98% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.5b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04838
14838

end0.0ms

sample2.5s

Algorithm
intervals
Results
2.2s20597×body80valid