Details

Time bar (total: 7.9s)

sample18.0ms

Algorithm
intervals
Results
7.0ms281×body80valid

simplify109.0ms

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

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
6.0b
(/ x (* (- y z) (- t z)))

rewrite32.0ms

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:
20.0ms
(* (- y z) (- t z))
8.0ms
(/ x (* (- y z) (- t z)))

series178.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* (- y z) (- t z))
143.0ms
(/ x (* (- y z) (- t z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0384705
11834535
25002528

prune216.0ms

Filtered
91 candidates to 57 candidates (62.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.0b
(/ (/ x (- y z)) (- t z))

rewrite37.0ms

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:
6.0ms
(/ x (- y z))
18.0ms
(/ (/ x (- y z)) (- t z))

series180.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ x (- y z))
147.0ms
(/ (/ x (- y z)) (- t z))

simplify77.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
06441751
123221707
250011707

prune504.0ms

Filtered
195 candidates to 133 candidates (68.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y z))
0.0b
(/ 1 (- t z))
2.1b
(* (/ x (- y z)) (/ 1 (- t z)))

rewrite61.0ms

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/ un-div-inv *-commutative inv-pow
Counts
3 → 157
Calls
3 calls:
6.0ms
(/ x (- y z))
6.0ms
(/ 1 (- t z))
42.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

series221.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ x (- y z))
40.0ms
(/ 1 (- t z))
149.0ms
(* (/ x (- y z)) (/ 1 (- t z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0537934
12214819
25001777

prune374.0ms

Filtered
166 candidates to 102 candidates (61.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.6b
(* (cbrt (- y z)) (cbrt (- y z)))
1.2b
(/ (/ x (cbrt (- y z))) (cbrt (- t z)))
2.3b
(* (/ (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (* (cbrt (- t z)) (cbrt (- t z)))) (/ (/ x (cbrt (- y z))) (cbrt (- t z))))

rewrite402.0ms

Algorithm
rewrite-expression-head
Rules
981×times-frac
725×add-sqr-sqrt
641×*-un-lft-identity
613×cbrt-prod
394×add-cube-cbrt
254×associate-*r*
239×add-exp-log
119×distribute-lft-out--
117×difference-of-squares
114×div-exp
85×prod-exp
76×cbrt-div
63×add-cbrt-cube
54×cbrt-undiv associate-/r/
38×flip3-- flip--
37×cbrt-unprod
35×associate-*l*
32×unswap-sqr
30×associate-/l*
21×div-inv
13×pow1 frac-times
12×rec-exp 1-exp
10×swap-sqr
8×associate-/r*
7×pow1/3 associate-*r/ associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up
1×pow2 frac-2neg pow-plus clear-num associate-/l/
Counts
4 → 753
Calls
4 calls:
3.0ms
(cbrt (- y z))
21.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
25.0ms
(/ (/ x (cbrt (- y z))) (cbrt (- t z)))
278.0ms
(* (/ (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (* (cbrt (- t z)) (cbrt (- t z)))) (/ (/ x (cbrt (- y z))) (cbrt (- t z))))

series1.5s

Counts
4 → 12
Calls
4 calls:
165.0ms
(cbrt (- y z))
149.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
495.0ms
(/ (/ x (cbrt (- y z))) (cbrt (- t z)))
693.0ms
(* (/ (/ 1 (* (cbrt (- y z)) (cbrt (- y z)))) (* (cbrt (- t z)) (cbrt (- t z)))) (/ (/ x (cbrt (- y z))) (cbrt (- t z))))

simplify189.0ms

Algorithm
egg-herbie
Counts
765 → 765
Iterations

Useful iterations: 1 (66.0ms)

IterNodesCost
0302513942
1500213475

prune3.1s

Filtered
765 candidates to 542 candidates (70.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084

end0.0ms

sample433.0ms

Algorithm
intervals
Results
222.0ms8420×body80valid