Details

Time bar (total: 3.8s)

sample16.0ms

Algorithm
intervals
Results
7.0ms273×body80valid

simplify64.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:
12.0ms
(* (- y z) (- t z))
9.0ms
(/ x (* (- y z) (- t z)))

series147.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) (- t z))
116.0ms
(/ x (* (- y z) (- t z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0300403
11371359
25001355

prune153.0ms

Filtered
69 candidates to 51 candidates (73.9%)
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)))

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))
21.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series261.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ x (- t z))
35.0ms
(/ 1 (- y z))
199.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0518909
12264798
25002758

prune302.0ms

Filtered
159 candidates to 98 candidates (61.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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))

series142.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ x (- t z))
116.0ms
(/ (/ x (- t z)) (- y z))

simplify61.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
06361735
123041691
250011691

prune450.0ms

Filtered
191 candidates to 129 candidates (67.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

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))))

rewrite62.0ms

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×flip3-- flip-- div-inv add-log-exp
3×cbrt-undiv div-exp
2×pow1/3 *-commutative
Counts
4 → 170
Calls
4 calls:
7.0ms
(cbrt (/ 1 (- y z)))
5.0ms
(cbrt (/ 1 (- y z)))
19.0ms
(* (cbrt (/ 1 (- y z))) (/ x (- t z)))
25.0ms
(* (* (cbrt (/ 1 (- y z))) (cbrt (/ 1 (- y z)))) (* (cbrt (/ 1 (- y z))) (/ x (- t z))))

series821.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt (/ 1 (- y z)))
138.0ms
(cbrt (/ 1 (- y z)))
300.0ms
(* (cbrt (/ 1 (- y z))) (/ x (- t z)))
191.0ms
(* (* (cbrt (/ 1 (- y z))) (cbrt (/ 1 (- y z)))) (* (cbrt (/ 1 (- y z))) (/ x (- t z))))

simplify114.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
06601805
125021558
250021458

prune435.0ms

Filtered
182 candidates to 118 candidates (64.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes119.0ms

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
0124
1124

end0.0ms

sample418.0ms

Algorithm
intervals
Results
219.0ms8426×body80valid