Details

Time bar (total: 5.5s)

sample34.0ms

Algorithm
intervals
Results
20.0ms324×body80valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
4.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
26.0ms
(- (/ y z) (/ t (- 1.0 z)))
98.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series150.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ t (- 1.0 z))
41.0ms
(- (/ y z) (/ t (- 1.0 z)))
62.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0387632
11453595
25001593

prune287.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
0.0b
(/ t (- 1.0 z))
2.7b
(* x (- (/ t (- 1.0 z))))
6.8b
(* x (/ y z))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
62×*-un-lft-identity
59×associate-*r*
55×times-frac
42×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-*l* associate-/r/ add-log-exp
5×associate-/r*
4×associate-*r/ div-inv
3×flip3-- prod-exp distribute-rgt-neg-out flip-- cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 147
Calls
4 calls:
4.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
6.0ms
(/ t (- 1.0 z))
39.0ms
(* x (- (/ t (- 1.0 z))))
8.0ms
(* x (/ y z))

series218.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(+ (* x (/ y z)) (* x (- (/ t (- 1.0 z)))))
40.0ms
(/ t (- 1.0 z))
73.0ms
(* x (- (/ t (- 1.0 z))))
24.0ms
(* x (/ y z))

simplify97.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
0674871
13174809
25001808

prune492.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.7b
(* x (- (/ t (- 1.0 z))))
3.7b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
71×add-sqr-sqrt
68×associate-*r*
58×times-frac
53×*-un-lft-identity
41×add-cube-cbrt
27×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
20×add-cbrt-cube
17×cbrt-prod
10×associate-*l*
9×prod-exp cbrt-unprod
8×pow1
7×cbrt-undiv div-exp unswap-sqr
6×distribute-lft-out-- difference-of-squares
4×associate-/r/ div-inv add-log-exp
2×flip3-- pow1/3 associate-*r/ pow-prod-down *-commutative flip--
1×frac-times neg-mul-1 associate-*l/ distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 144
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
36.0ms
(* x (- (/ t (- 1.0 z))))
29.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series550.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(cbrt z)
211.0ms
(cbrt z)
67.0ms
(* x (- (/ t (- 1.0 z))))
65.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify118.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
07501045
13962884
25001840

prune553.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

6.8b
(* x (/ y z))
17.9b
(cbrt (* x (- (/ t (- 1.0 z)))))
17.9b
(cbrt (* x (- (/ t (- 1.0 z)))))
17.9b
(cbrt (* x (- (/ t (- 1.0 z)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*r/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l* distribute-neg-frac
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
7.0ms
(* x (/ y z))
9.0ms
(cbrt (* x (- (/ t (- 1.0 z)))))
9.0ms
(cbrt (* x (- (/ t (- 1.0 z)))))
10.0ms
(cbrt (* x (- (/ t (- 1.0 z)))))

series889.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* x (/ y z))
292.0ms
(cbrt (* x (- (/ t (- 1.0 z)))))
284.0ms
(cbrt (* x (- (/ t (- 1.0 z)))))
288.0ms
(cbrt (* x (- (/ t (- 1.0 z)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0343721
11334673
25001553

prune304.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes237.0ms

Accuracy

12.1% (4.0b remaining)

Error of 4.1b against oracle of 0.1b and baseline of 4.6b

bsearch128.0ms

Steps
ItersRangePoint
9
6.008254652834628e-204
1.5252088610619315e-195
8.295223195537821e-200
7
-1.266816458046698e+42
-1.6902908213534253e+40
-1.0791968462179678e+42

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04120
14720
24820
34820

end0.0ms

sample909.0ms

Algorithm
intervals
Results
628.0ms10112×body80valid