Details

Time bar (total: 4.1s)

sample33.0ms

Algorithm
intervals
Results
15.0ms523×body80valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0196
1506
21596
33516
46096
57336
610686
713426
815066
915536
1015536

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z z) t)
0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.7b
(* (* y 4.0) (- (* z z) t))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-cbrt-cube
7×add-log-exp
6×add-sqr-sqrt sub-neg
4×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in associate-*r* associate--r+
3×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
2×diff-log associate-*r/ difference-of-squares
1×associate-*l* *-commutative
Counts
3 → 54
Calls
3 calls:
3.0ms
(- (* z z) t)
3.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
14.0ms
(* (* y 4.0) (- (* z z) t))

series162.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(- (* z z) t)
76.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
65.0ms
(* (* y 4.0) (- (* z z) t))

simplify42.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0292385
11348342
25001337

prune141.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z z) t)
0.0b
(- (* x x) (* y (* 4.0 (- (* z z) t))))
5.4b
(* y (* 4.0 (- (* z z) t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×distribute-rgt-in distribute-lft-in
10×sub-neg
8×pow1 add-exp-log add-cbrt-cube associate--r+
7×add-log-exp
5×add-sqr-sqrt
4×add-cube-cbrt *-un-lft-identity associate-*r/
3×flip3-- associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod
2×diff-log
1×associate-*r* *-commutative difference-of-squares
Counts
3 → 61
Calls
3 calls:
3.0ms
(- (* z z) t)
4.0ms
(- (* x x) (* y (* 4.0 (- (* z z) t))))
17.0ms
(* y (* 4.0 (- (* z z) t)))

series164.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(- (* z z) t)
78.0ms
(- (* x x) (* y (* 4.0 (- (* z z) t))))
66.0ms
(* y (* 4.0 (- (* z z) t)))

simplify131.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0297422
11060379
24915377
35001377

prune139.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.6b
(* (cbrt y) (* 4.0 (- (* z z) t)))
4.3b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 4.0 (- (* z z) t))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
32×distribute-rgt-in distribute-lft-in
30×pow1 add-exp-log
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
12×sub-neg
10×associate-*r/
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
4×add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 99
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
17.0ms
(* (cbrt y) (* 4.0 (- (* z z) t)))
56.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 4.0 (- (* z z) t))))

series666.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt y)
188.0ms
(cbrt y)
205.0ms
(* (cbrt y) (* 4.0 (- (* z z) t)))
91.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 4.0 (- (* z z) t))))

simplify53.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0426965
11738694
25002595

prune210.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.7b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(+ (* y (* 4.0 (pow z 4))) (* y (* 4.0 (- (* t t)))))
5.5b
(* y (* 4.0 (pow z 4)))
6.9b
(* y (* 4.0 (- (* t t))))
19.0b
(/ (+ (* y (* 4.0 (pow z 4))) (* y (* 4.0 (- (* t t))))) (+ (* z z) t))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
16×add-cbrt-cube
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
11×pow1
10×prod-exp distribute-rgt-neg-out
6×associate-*l* cbrt-unprod add-log-exp
5×distribute-lft-out
4×pow-prod-down associate-/l*
3×flip3-+ associate-/r* flip-+
2×div-sub associate-*r* unsub-neg associate-/r/ *-commutative associate-/l/
1×cbrt-undiv +-commutative pow-to-exp frac-2neg div-exp pow-exp clear-num sum-log div-inv
Counts
4 → 89
Calls
4 calls:
8.0ms
(+ (* y (* 4.0 (pow z 4))) (* y (* 4.0 (- (* t t)))))
8.0ms
(* y (* 4.0 (pow z 4)))
11.0ms
(* y (* 4.0 (- (* t t))))
25.0ms
(/ (+ (* y (* 4.0 (pow z 4))) (* y (* 4.0 (- (* t t))))) (+ (* z z) t))

series387.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(+ (* y (* 4.0 (pow z 4))) (* y (* 4.0 (- (* t t)))))
64.0ms
(* y (* 4.0 (pow z 4)))
31.0ms
(* y (* 4.0 (- (* t t))))
167.0ms
(/ (+ (* y (* 4.0 (pow z 4))) (* y (* 4.0 (- (* t t))))) (+ (* z z) t))

simplify76.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
04411014
12266882
25001864

prune282.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 3.7b

regimes448.0ms

Accuracy

82.4% (0.6b remaining)

Error of 3.2b against oracle of 2.6b and baseline of 6.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02716
12716

end0.0ms

sample874.0ms

Algorithm
intervals
Results
477.0ms15798×body80valid