Details

Time bar (total: 7.5s)

sample23.0ms

Algorithm
intervals
Results
13.0ms273×body80valid

simplify93.0ms

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: 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)))

rewrite33.0ms

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:
18.0ms
(* (- y z) (- t z))
8.0ms
(/ x (* (- y z) (- t z)))

series152.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) (- t z))
121.0ms
(/ x (* (- y z) (- t z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0384705
11834535
25002528

prune189.0ms

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

rewrite53.0ms

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:
8.0ms
(/ 1 (- y z))
5.0ms
(/ x (- t z))
34.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series273.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ 1 (- y z))
28.0ms
(/ x (- t z))
206.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify62.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0528932
12265821
25002781

prune326.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))))

rewrite67.0ms

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 expm1-log1p-u frac-times associate-*r/ associate-*l/ associate-/r/ cbrt-unprod log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3
2×rec-exp flip3-- 1-exp flip-- div-inv
1×pow-prod-down *-commutative
Counts
4 → 116
Calls
4 calls:
32.0ms
(* (/ 1 (- y z)) (/ x (- t z)))
12.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
9.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
9.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

series2.0s

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (/ 1 (- y z)) (/ x (- t z)))
607.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
590.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
610.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))

simplify64.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05841040
12421921
25001902

prune426.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

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 (* (/ (sqrt 1) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- t z)) (cbrt (- y z)))))

rewrite99.0ms

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 expm1-log1p-u frac-times associate-*r/ associate-*l/ associate-/r/ cbrt-unprod log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3
2×rec-exp flip3-- 1-exp flip-- div-inv
1×pow-prod-down *-commutative
Counts
4 → 116
Calls
4 calls:
33.0ms
(* (/ 1 (- y z)) (/ x (- t z)))
8.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
9.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
45.0ms
(cbrt (* (/ (sqrt 1) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- t z)) (cbrt (- y z)))))

series2.0s

Counts
4 → 12
Calls
4 calls:
205.0ms
(* (/ 1 (- y z)) (/ x (- t z)))
592.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
600.0ms
(cbrt (* (/ 1 (- y z)) (/ x (- t z))))
584.0ms
(cbrt (* (/ (sqrt 1) (* (cbrt (- y z)) (cbrt (- y z)))) (/ (/ x (- t z)) (cbrt (- y z)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06251170
125561031
25001915

prune555.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes332.0ms

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

sample617.0ms

Algorithm
intervals
Results
403.0ms8408×body80valid