Details

Time bar (total: 15.1s)

sample16.0ms

Algorithm
intervals
Results
7.0ms279×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.0b
(/ x (* (- y z) (- t z)))

rewrite19.0ms

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:
8.0ms
(* (- y z) (- t z))
8.0ms
(/ x (* (- y z) (- t z)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) (- t z))
112.0ms
(/ x (* (- y z) (- t z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0300403
11371359
25001355

prune152.0ms

Filtered
69 candidates to 51 candidates (73.9%)
Pruning

7 alts after pruning (7 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))
2.8b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite37.0ms

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
(/ x (- t z))
5.0ms
(/ 1 (- y z))
19.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series263.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ x (- t z))
34.0ms
(/ 1 (- y z))
199.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0518909
12245798
25001758

prune297.0ms

Filtered
159 candidates to 98 candidates (61.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
2.8b
(/ (/ x (- t z)) (- y z))

rewrite28.0ms

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 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
5.0ms
(/ x (- t z))
12.0ms
(/ (/ x (- t z)) (- y z))

series144.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ x (- t z))
118.0ms
(/ (/ x (- t z)) (- y z))

simplify59.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
06361735
123041691
250011691

prune480.0ms

Filtered
191 candidates to 129 candidates (67.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t z))
0.5b
(cbrt (- t z))
0.5b
(cbrt (- t z))
2.0b
(/ (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (/ x (cbrt (- t z)))))

rewrite481.0ms

Algorithm
rewrite-expression-head
Rules
7113×times-frac
3461×add-sqr-sqrt *-un-lft-identity
2038×cbrt-div
2015×add-cube-cbrt
1425×associate-/r/
1215×cbrt-prod
1019×flip3-- flip--
723×distribute-lft-out-- difference-of-squares
624×frac-times
312×associate-*r/ associate-*l/
253×div-inv
155×associate-/r*
82×add-exp-log
54×div-exp
31×add-cbrt-cube
24×cbrt-undiv
15×associate-/l*
9×prod-exp
6×rec-exp 1-exp
4×pow1 add-log-exp
3×pow1/3 cbrt-unprod
1×frac-2neg clear-num associate-/l/
Counts
4 → 2582
Calls
4 calls:
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
86.0ms
(/ (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (/ x (cbrt (- t z)))))

series970.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (- t z))
141.0ms
(cbrt (- t z))
146.0ms
(cbrt (- t z))
537.0ms
(/ (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (/ x (cbrt (- t z)))))

simplify616.0ms

Algorithm
egg-herbie
Counts
2594 → 2594
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
0500172745

prune10.6s

Filtered
2594 candidates to 1704 candidates (65.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes176.0ms

Accuracy

65% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02515
12515

end0.0ms

sample439.0ms

Algorithm
intervals
Results
222.0ms8446×body80valid