Details

Time bar (total: 7.2s)

sample24.0ms

Algorithm
intervals
Results
13.0ms273×body80valid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2654
31564
43024
54704
68654
712434
815454
917054
1017054

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.6b
(/ x (* (- y z) (- t z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
20.0ms
(* (- y z) (- t z))
7.0ms
(/ x (* (- y z) (- t z)))

series152.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (- y z) (- t z))
120.0ms
(/ x (* (- y z) (- t z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0300403
11371359
25001355

prune161.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ x (- t z))
1.1b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 150
Calls
3 calls:
5.0ms
(/ 1 (- y z))
5.0ms
(/ x (- t z))
32.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series276.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- y z))
28.0ms
(/ x (- t z))
213.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0518909
12245798
25001758

prune297.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (/ 1 (- y z)) (/ x (- t z)))
25.1b
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
25.1b
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
25.1b
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
37×times-frac
36×*-un-lft-identity
26×add-exp-log
22×add-cube-cbrt
21×associate-*r* associate-*l*
16×add-cbrt-cube
9×cbrt-div
8×div-exp prod-exp
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×cbrt-undiv frac-times associate-*r/ associate-*l/ associate-/r/ cbrt-unprod add-log-exp
3×cbrt-prod pow1/3
2×rec-exp flip3-- 1-exp flip-- div-inv
1×pow-prod-down *-commutative
Counts
4 → 108
Calls
4 calls:
31.0ms
(* (/ 1 (- y z)) (/ x (- t z)))
8.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
9.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
11.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

series2.0s

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (/ 1 (- y z)) (/ x (- t z)))
596.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
598.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
603.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

simplify62.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0575993
12375874
25001855

prune402.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (/ 1 (- y z)) (/ x (- t z)))
25.1b
(cbrt (* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- t z)) (cbrt (- y z)))))
25.1b
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
25.1b
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
37×times-frac
36×*-un-lft-identity
26×add-exp-log
22×add-cube-cbrt
21×associate-*r* associate-*l*
16×add-cbrt-cube
9×cbrt-div
8×div-exp prod-exp
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×cbrt-undiv frac-times associate-*r/ associate-*l/ associate-/r/ cbrt-unprod add-log-exp
3×cbrt-prod pow1/3
2×rec-exp flip3-- 1-exp flip-- div-inv
1×pow-prod-down *-commutative
Counts
4 → 108
Calls
4 calls:
33.0ms
(* (/ 1 (- y z)) (/ x (- t z)))
62.0ms
(cbrt (* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- t z)) (cbrt (- y z)))))
8.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
9.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

series2.1s

Counts
4 → 12
Calls
4 calls:
218.0ms
(* (/ 1 (- y z)) (/ x (- t z)))
604.0ms
(cbrt (* (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- t z)) (cbrt (- y z)))))
625.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
604.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

simplify66.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06101091
12502958
25002876

prune494.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes145.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample613.0ms

Algorithm
intervals
Results
405.0ms8408×body80valid