Details

Time bar (total: 2.0m)

sample68.0ms

Algorithm
intervals
Results
44.0ms435×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1487
2817
3987
4987

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b
(+ (+ (* x y) (* z t)) (* a b))
0.0b
(+ (* x y) (* z t))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
46.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
11.0ms
(+ (+ (* x y) (* z t)) (* a b))
3.0ms
(+ (* x y) (* z t))

series287.0ms

Counts
3 → 9
Calls
3 calls:
201.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
50.0ms
(+ (+ (* x y) (* z t)) (* a b))
35.0ms
(+ (* x y) (* z t))

simplify35.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0276348
11151333
25001333

prune138.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.1b
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.1b
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.3b
(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite316.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
2.0ms
(+ (* x y) (* z t))
51.0ms
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
49.0ms
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
211.0ms
(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series7.3s

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* x y) (* z t))
3.6s
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
3.5s
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
209.0ms
(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify56.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
03801440
117731287
250021251

prune281.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.1b
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.2b
(* (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
0.3b
(* (* (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite687.0ms

Algorithm
rewrite-expression-head
Rules
118×sqrt-div
91×sqrt-pow1
77×sqrt-prod
73×pow1
56×add-sqr-sqrt
51×pow1/2
43×pow-prod-up
35×flip3-+ flip-+
32×frac-times
20×add-cube-cbrt *-un-lft-identity
17×swap-sqr
16×associate-*l/
15×associate-*r*
13×pow-sqr
12×pow-prod-down
11×add-exp-log add-cbrt-cube unswap-sqr
10×associate-*r/ associate-*l*
7×pow-plus
4×prod-exp cbrt-unprod add-log-exp
3×sqrt-unprod
2×rem-sqrt-square *-commutative
1×pow2 rem-square-sqrt
Counts
4 → 191
Calls
4 calls:
51.0ms
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
49.0ms
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
218.0ms
(* (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
358.0ms
(* (* (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series11.2s

Counts
4 → 12
Calls
4 calls:
3.6s
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
3.8s
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
3.6s
(* (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
213.0ms
(* (* (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (sqrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify95.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05753799
124313121
250033064

prune501.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* c i) (* c i))
0.3b
(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
4.4b
(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
34.7b
(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
18×pow-prod-down
17×add-cube-cbrt *-un-lft-identity
12×times-frac
9×prod-exp cbrt-unprod
6×flip3-+ flip-+ add-log-exp
5×pow-sqr pow-prod-up difference-of-squares
4×frac-times swap-sqr associate-*r* associate-*l* associate-/l*
3×flip3-- pow-plus associate-/r* flip--
2×pow2 distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/ associate--l+ associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv unswap-sqr
Counts
4 → 120
Calls
4 calls:
10.0ms
(* (* c i) (* c i))
63.0ms
(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
25.0ms
(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
108.0ms
(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series1.6m

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* c i) (* c i))
411.0ms
(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
1.6m
(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
714.0ms
(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify107.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
05742150
133761883
250011811

prune318.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes462.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0227
1227

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.3s13672×body80valid