Details

Time bar (total: 4.3s)

sample20.0ms

Algorithm
intervals
Results
10.0ms273×body80valid

simplify120.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2694
31824
44014
56594
614034
718374
823874
927594
1027634
1127634

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
9.8b
(/ x (* (- y z) (- t z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u 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 → 85
Calls
2 calls:
10.0ms
(* (- y z) (- t z))
10.0ms
(/ x (* (- y z) (- t z)))

series175.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (- y z) (- t z))
136.0ms
(/ x (* (- y z) (- t z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0384705
11834535
25002528

prune190.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
1.5b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite41.0ms

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×expm1-log1p-u rec-exp 1-exp log1p-expm1-u 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 → 156
Calls
3 calls:
6.0ms
(/ x (- t z))
6.0ms
(/ 1 (- y z))
24.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series280.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ x (- t z))
38.0ms
(/ 1 (- y z))
213.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0528932
12284821
25001789

prune347.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
1.5b
(/ (/ x (- t z)) (- y z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
5.0ms
(/ x (- t z))
16.0ms
(/ (/ x (- t z)) (- y z))

series168.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ x (- t z))
134.0ms
(/ (/ x (- t z)) (- y z))

simplify81.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
06441751
123221707
250011707

prune525.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 (- y z)))
0.6b
(cbrt (/ 1 (- y z)))
0.7b
(* (cbrt (/ 1 (- y z))) (/ x (- t z)))
1.0b
(* (* (cbrt (/ 1 (- y z))) (cbrt (/ 1 (- y z)))) (* (cbrt (/ 1 (- y z))) (/ x (- t z))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
87×add-sqr-sqrt
69×cbrt-prod
68×times-frac
67×*-un-lft-identity
41×add-cube-cbrt
30×add-exp-log
28×cbrt-div
25×associate-*l*
22×associate-*r*
18×pow1 frac-times add-cbrt-cube
15×prod-exp cbrt-unprod
12×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
9×pow-prod-down
8×associate-/r/ unswap-sqr
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv div-exp
2×pow1/3 *-commutative
Counts
4 → 178
Calls
4 calls:
5.0ms
(cbrt (/ 1 (- y z)))
5.0ms
(cbrt (/ 1 (- y z)))
26.0ms
(* (cbrt (/ 1 (- y z))) (/ x (- t z)))
27.0ms
(* (* (cbrt (/ 1 (- y z))) (cbrt (/ 1 (- y z)))) (* (cbrt (/ 1 (- y z))) (/ x (- t z))))

series916.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(cbrt (/ 1 (- y z)))
164.0ms
(cbrt (/ 1 (- y z)))
352.0ms
(* (cbrt (/ 1 (- y z))) (/ x (- t z)))
240.0ms
(* (* (cbrt (/ 1 (- y z))) (cbrt (/ 1 (- y z)))) (* (cbrt (/ 1 (- y z))) (/ x (- t z))))

simplify82.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06711863
125351616
250011509

prune506.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0168
1168

end0.0ms

sample442.0ms

Algorithm
intervals
Results
234.0ms8426×body80valid