Details

Time bar (total: 4.7s)

sample33.0ms

Algorithm
intervals
Results
20.0ms329×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- 1.0 z))
4.4b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
33×*-un-lft-identity
23×times-frac
14×add-cube-cbrt
10×associate-*r*
8×distribute-lft-out-- difference-of-squares
6×add-exp-log add-cbrt-cube
5×associate-/r*
4×pow1
3×associate-*r/ associate-*l* associate-/l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- add-log-exp
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative frac-sub cbrt-unprod div-inv unswap-sqr
Counts
2 → 69
Calls
2 calls:
6.0ms
(/ t (- 1.0 z))
100.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series88.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ t (- 1.0 z))
49.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0346447
11353419
25001417

prune199.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
4.7b
(* x (- (/ t (- 1.0 z))))
6.3b
(* x (/ y z))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
61×*-un-lft-identity
59×associate-*r*
55×times-frac
41×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
12×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
7×pow1
6×associate-*l* associate-/r/
5×associate-/r*
4×div-inv
3×flip3-- prod-exp flip-- cbrt-unprod associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative
1×neg-mul-1 frac-2neg clear-num distribute-rgt-neg-out distribute-neg-frac
Counts
3 → 132
Calls
3 calls:
6.0ms
(/ t (- 1.0 z))
39.0ms
(* x (- (/ t (- 1.0 z))))
8.0ms
(* x (/ y z))

series118.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ t (- 1.0 z))
63.0ms
(* x (- (/ t (- 1.0 z))))
20.0ms
(* x (/ y z))

simplify76.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0592711
12780661
25001661

prune400.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.8b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
4.7b
(* x (- (/ t (- 1.0 z))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
51×associate-*r*
45×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
28×add-cube-cbrt
24×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
16×add-cbrt-cube
10×prod-exp cbrt-unprod
8×pow1
6×cbrt-prod associate-*l* distribute-lft-out-- difference-of-squares
4×cbrt-undiv div-exp associate-/r/ add-log-exp
3×div-inv unswap-sqr
2×flip3-- pow1/3 associate-*r/ pow-prod-down *-commutative flip--
1×neg-mul-1 distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 115
Calls
4 calls:
0.0ms
(cbrt z)
1.0ms
(cbrt z)
21.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
36.0ms
(* x (- (/ t (- 1.0 z))))

series507.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt z)
182.0ms
(cbrt z)
83.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
63.0ms
(* x (- (/ t (- 1.0 z))))

simplify79.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0633798
13022684
25001649

prune462.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.8b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
4.7b
(* x (- (/ t (- 1.0 z))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
51×associate-*r*
45×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
28×add-cube-cbrt
24×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
16×add-cbrt-cube
10×prod-exp cbrt-unprod
8×pow1
6×cbrt-prod associate-*l* distribute-lft-out-- difference-of-squares
4×cbrt-undiv div-exp associate-/r/ add-log-exp
3×div-inv unswap-sqr
2×flip3-- pow1/3 associate-*r/ pow-prod-down *-commutative flip--
1×neg-mul-1 distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 115
Calls
4 calls:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
21.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
40.0ms
(* x (- (/ t (- 1.0 z))))

series510.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt z)
180.0ms
(cbrt z)
86.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
61.0ms
(* x (- (/ t (- 1.0 z))))

simplify88.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0632798
13020684
25001649

prune501.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes313.0ms

Accuracy

28.3% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 2.0b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08172
19772
210072
310072

end0.0ms

sample884.0ms

Algorithm
intervals
Results
611.0ms10154×body80valid